please help figure out this problem i’m trying to determine if the lines that appear to be tangent are tangent

Please Help Figure Out This Problem Im Trying To Determine If The Lines That Appear To Be Tangent Are

Answers

Answer 1

Suppose that the two lines that form the missing angle are tangents to the circle. Then, the measure of the missing angle can be found using the following equation:

[tex]\measuredangle ABC=\frac{arc\text{ AEC - arc AGC}}{2}[/tex]

Notice that we can complete the information about the arcs of the circle with the central angle:

then, we can find the angle x with the following expression:

[tex]\begin{gathered} \measuredangle x=\frac{243-117}{2}=\frac{126}{2}=63 \\ \Rightarrow\measuredangle x=63\degree \end{gathered}[/tex]

therefore, the measure of the missing angle is 63 degrees.

Please Help Figure Out This Problem Im Trying To Determine If The Lines That Appear To Be Tangent Are
Please Help Figure Out This Problem Im Trying To Determine If The Lines That Appear To Be Tangent Are

Related Questions

write each of the following numbers as a power of the number 2

Answers

Answer

The power on 2 is either -3.5 in decimal form or (-7/2) in fraction form.

Explanation

To do this, we have to first note that

[tex]\begin{gathered} \sqrt[]{2}=2^{\frac{1}{2}} \\ \text{And} \\ 16=2^4 \end{gathered}[/tex]

So, we can then simplify the given expression

[tex]\begin{gathered} \frac{\sqrt[]{2}}{16}=\frac{2^{\frac{1}{2}}}{2^4}=2^{\frac{1}{2}-4} \\ =2^{0.5-4} \\ =2^{-3.5} \\ OR \\ =2^{\frac{-7}{2}} \end{gathered}[/tex]

Hope this Helps!!!

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Z2
Find the midpoint m of z₁ = (9+7i) and Z₂ = (-7+7₂).
Express your answer in rectangular form.
m=
Re

Answers

The midpoint m of z₁ = (9+7i) and Z₂ = (-7+7i) is 1 + 7i .

Given complex numbers:

[tex]z_{1}[/tex] = (9 + 7i) and [tex]z_{2}[/tex] = (-7 + 7i)

compare these numbers with a1+ib1 and a2+ib2, we get

a1 = 9, a2 = -7 , b1 = 7 and b2 = 7.

Mid point of complex numbers = a1 + a2 /2 + (b1 + b2 /2)i

= (9 + (-7)/2 + (7 + 7 /2)i

= 2/2 + 14/2 i

Mid point m = 1 + 7i

Therefore the midpoint m of z₁ = (9+7i) and Z₂ = (-7+7i) is 1 + 7i

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I need to find the radius and the diameter but I don't understand.

Answers

ANSWER

Radius = 3 yd

Diameter = 6 yd

EXPLANATION

We are given the circle in the figure.

The radius of a circle is defined as the distance between the centre of a circle and its circumference.

Therefore, from the circle given, the radius is 3 yards

The diameter of a circle is defined as the total distance (through the centre) from one end of a circle to another.

It is twice the radius. Therefore, the diameter of the given circle is:

D = 3 * 2

D = 6 yards

The diameter is 6 yards.

I need some help with this (and no this is not a test)

Answers

You have the following expression:

[tex]a_n=3+2(a_{n-1})^{2}[/tex]

consider a1 = 6.

In order to determine the value of a2, consider that if an = a2, then an-1 = a1. Replace these values into the previous sequence formula:

[tex]\begin{gathered} a_2=3+2(a_1)^{2}= \\ 3+2\mleft(6\mright)^2= \\ 3+2(36)= \\ 3+72= \\ 75 \end{gathered}[/tex]

Hence, a2 is equal to 75

I inserted a picture of the question can you please hurry

Answers

Given:

[tex](-2,-5)\text{ and (}1,4)\text{ are given points.}[/tex][tex]\begin{gathered} \text{Slope}=\frac{y_2-y_1}{x_2-x_1} \\ \text{Slope}=\frac{4+5}{1+2} \\ \text{Slope}=\frac{9}{3} \\ \text{Slope}=3 \end{gathered}[/tex]

I will provide another picture with the questions to this problemBefore beginning: please note that this is lengthy, pre calculus practice problem

Answers

[tex]\begin{gathered} \text{For }Albert \\ For\text{ \$1,000} \\ t=10years=120\text{ months} \\ i=1.2\text{\%=0.012} \\ C=1,000(1+0.012)^{120} \\ C=1,000(1.012)^{120} \\ C=\text{\$}4,184.67 \\ \text{For \$}500 \\ \text{lost 2\%=0.02 over 10 years, hence} \\ C1=500(1-0.02) \\ C1=500(0.98) \\ C1=\text{ \$}490 \\ \text{For \$}500 \\ i=0.8\text{ \%=0.008} \\ t=10 \\ C2=500(1+0.008)^{10} \\ C2=500(1.008)^{10} \\ C2=\text{ \$}541.47 \\ \text{Total}=\text{\$}4,184.67+\text{ \$}490+\text{ \$}541.47 \\ \text{Total}=\text{ \$5,216.14} \\ After\text{ 10 year Albert has \$5,216.14} \\ \text{For Marie} \\ For\text{ \$1,500} \\ Quaterly \\ 1\text{ year has }3\text{ quaternions, hence in 10 years are 30 quaternions, t=30} \\ i=1.4\text{ \% monthly, hence } \\ \frac{1.4\text{ \% }}{3}=0.467\text{ \%=0.00467} \\ C=1,500(1+0.00467)^{30} \\ C=1,500(1.00467)^{30} \\ C=\text{ \$}1,725.02 \\ \text{For \$500} \\ C2=500(1+0.04) \\ C2=500(1.04) \\ C2=\text{ \$}520 \\ \text{Total}=\text{ \$}1,725.02+\text{ \$}520 \\ \text{Total}=\text{ \$}2,245.02 \\ After\text{ 10 year Marie has \$2,245.02} \\ \text{For }Hans \\ t=10 \\ i=0.9\text{ \%=0.009} \\ C=2,000(1+0.009)^{10} \\ C=2,000(1.009)^{10} \\ C=\text{\$}2,187.47 \\ After\text{ 10 year Hans has \$}2,187.47 \\ \text{For }Max \\ For\text{ 1,000} \\ t=10 \\ i=0.5\text{ \%=0.005} \\ C=1,000e^{(-0.005)(10)} \\ C=\text{\$}951.23 \\ \text{For 1,000} \\ i=1.8\text{ \%=0.018} \\ t=20 \\ C1=1,000(1+0.018)^{20} \\ C1=1,000(1.018)^{20} \\ C1=\text{ \$1,428.75} \\ \text{Total =\$}951.23+\text{ \$1,428.75} \\ \text{Total}=\text{ \$2,379.98} \\ After\text{ 10 year Max has \$2,379.98} \\ \\ At\text{ the end of the competition is \$10,000 richer than his siblings} \end{gathered}[/tex]

Gloria's teacher asks her to draw a triangle with a 90° angle and a 42° angle.How many unique triangles can Gloria draw that meet her teacher's requirements?AOne unique triangle can be drawn because the third angle must measure 48º.BNo unique triangle can be drawn because the teacher only gave the measures of two angles.СInfinitely many unique triangles can be drawn because the side lengths of the triangles can be different sizes.DThere is not enough information to determine how many unique triangles can be drawn.

Answers

SOLUTION

Sum of angles in a triangle must be equal to 180°

So, since one of the angle measures 90° and the other is 42°, then

90 + 42 + y = 180°, where y is the third angle

So, 132 + y = 180

y = 180 - 132 = 48°.

Therefore, one unique triangle can be drawn because the third angle must measure 48º.

Option A is the correct answer.

Let f(x)=3x-2. What is f^-1 (x) ?

Answers

Given the function:

f(x) = 3x - 2

Let's find the inverse of the function f⁻¹(x).

To find the inverse of the function, apply the following steps:

• Step 1.

Rewrite y for f(x)

[tex]y=3x-2[/tex]

• Step 2.

Interchange the x and y variables:

[tex]x=3y-2[/tex]

• Step 3.

Solve for y.

Add 2 to both sides:

[tex]\begin{gathered} x+2=3y-2+2 \\ \\ x+2=3y \end{gathered}[/tex]

• Step 4.

Divide all terms by 3:

[tex]undefined[/tex]

Which of the following shows the expansion of sum from n equals 0 to 4 of 2 minus 5 times n ?

(−18) + (−13) + (−8) + (−3) + 0
(−3) + (−8) + (−13) + (−18) + (−23)
2 + (−3) + (−8) + (−13) + (−18)
2 + 7 + 12 + 17 + 22

Answers

The option that indicates the required sum when n equals 0 to 4 of 2 minus 5 times n, is 2 + (−3) + (−8) + (−13) + (−18) (Option C)

What is the Sum of sequences?

The sum of the terms of a sequence is called a series.

From the given sum of a sequence, we are to find the sum of the given sequence from n = 0 to n = 4

When n = 0

a(0) = 2 - 5(0)

a(0) = 2 - 0

a(0) = 2

When n = 1

a(1) = 2 - 5(1)

a(1) = 2 -5

a(1) = -3

When n = 2

a(2) = 2 - 5(2)

a(2) = 2 - 10

a(2) = -8

When n = 3

a(3) = 2 - 5(3)

a(3) = 2 - 15

a(3) = -13

When n = 4

a(4) = 2 - 5(4)

a(4) = 2 - 20

a(4) = -18

Hence the required sum is 2 + (−3) + (−8) + (−13) + (−18)

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The required sum is 2 + (−3) + (−8) + (−13) + (−18)  when n equals 0 to 4 of 2 minus 5 times n, which is the correct answer that would be an option (C).

The given expression is (2 - 5n)

We to determine the sum of the given sequence from n = 0 to n = 4

Let the required sum is  T₀ + T₁  + T₂ +  T₃ + T₄

Substitute the value of n = 0 in the expression (2 - 5n) to get T₀

⇒ T₀ = 2 - 5(0) = 2 - 0 = 2

Substitute the value of n = 1 in the expression (2 - 5n) to get T₁

⇒ T₁ = 2 - 5(1)  = 2 -5 = -3

Substitute the value of n = 2 in the expression (2 - 5n) to get T₂

⇒ T₂ = 2 - 5(2) = 2 - 10 = -8

Substitute the value of n = 3 in the expression (2 - 5n) to get T₃

⇒ T₃ = 2 - 5(3) = 2 - 15 = -13

Substitute the value of n = 4 in the expression (2 - 5n) to get T₄

⇒ T₄ = 2 - 5(4) = 2 - 20 = -18

Therefore, the required sum is 2 + (−3) + (−8) + (−13) + (−18)

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PLEASE HELP AS SOON AS POSSIBLE PLEASE!! ( one question, can whole numbers be classified as integers and rational numbers)

Answers

ANSWER

G. 10 and -2 only

EXPLANATION

-5/4 is a fraction that can't be simplified. Therefore it is not an integer.

1.25 has decimals, so it is not an integer either.

10 and -2 are are integers.

I NEED HELP
5C/2 = 20

Answers

you would have to do this backwards

20 times 2 would remove the /2

5c=40

40 divided by 5

is

8

C=8

write the equation for a quadratic function in vertex form that opebs down shifts 8 units to the left and 4 units down .

Answers

STEP - BY STEP EXPLANATION

What to find?

Equation for a quadratic equation.

Given:

Shifts 8 unit to the left.

4 units down

Step 1

Note the following :

• The parent function of a quadratic equation in general form is given by;

[tex]y=x^2[/tex]

• If f(x) shifts q-units left, the f(x) becomes, f(x+q)

,

• If f(x) shift m-units down, then the new function is, f(x) -m

Step 2

Apply the rules to the parent function.

8 units to the left implies q=8

4 units down implies m= 4

[tex]y=(x+8)^2-4[/tex]

ANSWER

y= (x+8)²- 4

what is an identityA) an identity is a false equation relating to a mathematical expression to a real numberB) an identity is a true equation relating to a mathematical expression to a real numberC) an identity is a true equation relating one mathematical expression to another expressionD) an identity is a false equation relating to one mathematical expression to another expression

Answers

The right answer is C

Identify the constant of variation. 8y-7x=0

Answers

A direct variation between two variables "x" and "y" is given by the following formula:

y = kx

We can rewrite the given expression 8y-7x=0 to get an equation of the form y = kx like this:

8y - 7x = 0

8y - 7x + 7x = 0 + 7x

8y = 7x

8y/8 = 7x/8

y = 7/8x

The number that is being multiplied by x should be the constant of variation k, then in this case, the constant of variation equals 7/8

Lne segment AC and BD are parallel, what are the new endpoints of the line segments AC and BD if the parallel lines are reflected across the y-axis?

Answers

Given a point P = (x, y) a reflection P' alongside the y axis of that point follows the rule:

[tex]P=(x,y)\Rightarrow P^{\prime}=(-x,y)[/tex]

We need to multiply the x coordinates of the points by (-1)

The cordinates of the points in the problem are:

A = (2, 5)

B = (2, 4)

C = (-5, 1)

D = (-5, 0)

Then the endpoints of the reflection over the y axis are:

A' = (-2, 5)

B' = (-2, 4)

C' = (5, 1)

D' = (5, 0)

Which is the second option.

(I don't know if there are tutors here right now at this time but it's worth a try.) Please help me I really really don't understand this, it's going to take me a while to understand this. X(

Answers

[tex]\begin{gathered} 3(b+5)=4(2b-5) \\ 3b+15=8b-20 \\ 15+20=8b-3b \\ 5b=35 \\ b=\frac{35}{5} \\ b=7 \end{gathered}[/tex][tex]3(b+5)=4(2b-5)[/tex]

by the distributive law x(y+z)=zy+xz, we have

[tex]\begin{gathered} 3b+3(5)=4(2b)-4(5) \\ 3b+15=8b-20 \end{gathered}[/tex]

Then we use the properties of inequalities, we can switch both sides, and if we add or multiply something on both sides the equality remains

[tex]\begin{gathered} 3b+15=8b-20 \\ \end{gathered}[/tex]

we want the variables and the numbers without variables to be in different side, so, first we add 20 to both sides, note that the -20 will be cancelled

[tex]\begin{gathered} 3b+15+20\text{ = 8b-20+20} \\ 3b+15+20=8b \end{gathered}[/tex]

we want to left all the numbers with variable on the right side so we substract 3b (add -3b) to both sides. Same as before, the 3b will be cancellated (we can change the order in the sum)

[tex]\begin{gathered} -3b+3b+15+20=-3b+8b \\ 15+20=8b-3b \end{gathered}[/tex]

of course, you're welcome

I was asking if you have understood my explanation so far

tell me

it doesn't matter the order, in fact, when you get used to the method you can work with both at the same time

any other question?

yes, you could substrac 3b first

For example

[tex]\begin{gathered} 2+3x=6-x \\ 2+3x+x=6-x+x \\ 2+3x+x=6 \\ -2+2+3x+x=-2+6 \\ 3x+x=6-2 \\ 4x=4 \\ \end{gathered}[/tex]

sadly I will need to leave since my shift is over, but if you ask another question one of my partners will help you

Have a nice evening!!!!

then we add like terms and switch both sides

[tex]5b=35[/tex]

And then we multiply by 1/5 both sides

[tex]\begin{gathered} 5\frac{1}{5}b=\frac{35}{5} \\ b=\frac{35}{5} \\ b=7 \end{gathered}[/tex]

I need help doing this it’s the homework but I need to understand it for the test

Answers

By similar triangle, we have:

[tex]\begin{gathered} Let\text{ the unknown measurement be x} \\ \text{Thus, we have:} \\ \frac{14}{x}=\frac{8}{15} \\ \text{cross}-\text{multiply} \\ 8x=210 \\ x=\frac{210}{8} \\ x=26.25\text{ f}eet \end{gathered}[/tex]

Hence, the unknown measurement of the plan is 26.25 feet

What is 3 +4.3+45?A4늘OB.B. 7O. 8○ D. 12

Answers

solution

[tex]3+4\frac{1}{3}=7\frac{1}{3}[/tex]

answer: B

Rami practices his saxophone for 5/6 hour on 4 days each week.
How many hours does Rami practice his saxophone each week?

[] 2/[] Hr

Answers

Answer:

you take 5/6 and multiply it by 4/1.

which gives you 20/6

then reduce it by dividing the top number by the bottom number

 which gives you 3 with a remainder of 2

you then place the remainder over the

This tells you he practicedfor 3 2/6

Step-by-step explanation:

The slope of the line containing the points (-2, 3) and (-3, 1) is

Answers

Hey :)

[tex]\star\sim\star\sim\star\sim\star\sim\star\sim[/tex]

Apply the little slope equation. By doing that successfully, we should get our correct slope.

[tex]\large\boldsymbol{\frac{y2-y1}{x2-x1}}[/tex]

[tex]\large\boldsymbol{\frac{1-3}{-3-(-2)}}[/tex]

[tex]\large\boldsymbol{\frac{-2}{-3+2}}[/tex]

[tex]\large\boldsymbol{\frac{-2}{-1}}[/tex]

[tex]\large\boldsymbol{-2}}[/tex]

So, the calculations showed that the slope is -2. I hope i could provide a good explanation and a correct answer to you. Thank you for taking the time to read my answer.

here for further service,

silennia

[tex]\star\sim\star\sim\star\sim\star\sim\star\sim[/tex]

A box has 14 candies in it: 3 are taffy, 7 are butterscotch, and 4 are caramel. Juan wants to select two candies to eat for dessert. The first candy will be selectedat random, and then the second candy will be selected at random from the remaining candies. What is the probability that the two candies selected are taffy?Do not round your intermediate computations. Round your final answer to three decimal places.

Answers

Okay, here we have this:

Considering the provided information we are going to calculate what is the probability that the two candies selected are taffy. So, for this, first we are going to calculate the probability that the first is taffy, and then the probability that the second is taffy. Finally we will multiply these two probabilities to find the total probability.

Remember that the simple probability of an event is equal to favorable events, over possible events.

First is taffy:

At the beginning there are 14 sweets, and 3 are taffy, so there are 3 favorable events and 14 possible, then:

First is taffy=3/14

Second is taffy:

Now, in the bag there are 13 sweets left, and of those 2 are taffy, so now there are 2 favorable events out of 13 possible:

Second is taffy=2/13

The first and second are taffy:

First is taffy*Second is taffy=3/14*2/13

First is taffy*Second is taffy=3/91

First is taffy*Second is taffy=0.033

First is taffy*Second is taffy=3.3%

Finally we obtain that the probability that the two candies selected are taffy is aproximately 0.033 or 3.3%.

geometric series in context

Answers

Solution

For this case we can model the problem with a geometric series given by:

[tex]a_n=600(1+0.2)^{n-1}[/tex]

And we can find the value for n=23 and we got:

[tex]a_{23}=600(1.2)^{23-1}=33123.69[/tex]

And rounded to the neares whole number we got 33124

and using the sum formula we got:

[tex]S_{23}=\frac{600(1.2^{23}-1)}{1.2-1}=195742[/tex]

I need help with this question... the correct answer choice

Answers

Reflection over the x-axis:

(x,y)--->(x, -y)

and the question is what is not a reflection across the x-axis.

so,

the correct option is D which is:

R'(-9, 4) ----> R'(9, -4)

Because it is a reflection over the y-axis.

Find the sum of the first nine terms of the geometric series 1 – 3 + 9 - 27+....

Answers

Hello there. To solve this question, we'll have to remember some properties about geometric series.

Given that we want the sum of

[tex]1-3+9-27...[/tex]

First, we find the general term of this series:

Notice they are all powers of 3, namely

[tex]\begin{gathered} 1=3^0 \\ 3=3^1 \\ 9=3^2 \\ 27=3^3 \\ \vdots \end{gathered}[/tex]

But this is an alternating series, hence the general term is given by:

[tex]a_n=\left(-3\right)^{n-1}[/tex]

Since we just want the sum of the first 9 terms of this geometric series, we apply the formula:

[tex]S_n=\frac{a_1\cdot\left(1-q^n\right?}{1-q}[/tex]

Where q is the ratio between two consecutive terms of the series.

We find q as follows:

[tex]q=\frac{a_2}{a_1}=\frac{\left(-3\right)^{2-1}}{\left(-3\right)^{1-1}}=\frac{-3}{1}=-3[/tex]

Then we plug n = 9 in the formula, such that:

[tex]S_9=\frac{1\cdot\left(1-\left(-3\right)^9\right?}{1-\left(-3\right)}=\frac{1-\left(-19683\right)}{1+3}=\frac{19684}{4}[/tex]

Simplify the fraction by a factor of 4

[tex]S_9=4921[/tex]

This is the sum of the nine first terms of this geometric series and it is the answer contained in the second option.

Factor the following expression using the GCF.5dr - 40rr(5 dr - 40)5 r( d - 8)r(5 d - 40)5( dr - 8 r)

Answers

[tex]5dr-40r[/tex]

The greatest common factor (GCF) is: 5r

You multiply 5r by d to get the first term and multiply 5r by -8 to get the second term, then the factors are:

[tex]5r(d-8)[/tex]Answer: 5r(d-8)

is 2÷2 4 or am I wrong

Answers

2/2 = 1

The answer would be 1

Lisa's rectangular living room is 15 feet wide. If the length is 7 feet less than twice the width, what is the area of her living room?

Answers

345ft²

1) Since we have the following data then we can write it down:

width: 15 ft

length: 2w-7

2) And we can write out the following equation regarding that the area of a rectangle is given by:

[tex]S=l\cdot w[/tex]

We can plug into that the given data:

[tex]\begin{gathered} S=15(2(15)-7)) \\ S=15(30-7) \\ S=15\cdot23 \\ S=345 \end{gathered}[/tex]

Notice we have used the FOIL acronym. And the PEMDAS order of operations prioritizing the inner parentheses.

3) So we can state that the area of her living room is 345ft²

Using the distributive property, show how to decompose 8 * 78

Answers

Given any three numbers a, b, and c.

By the distributive law, we must have:

a x (b + c) = (a x b) + (a x c)

Now to find 8 x78

8 x 78 = 8 x (70 + 8) = (8 x 70) + (8 x 8) = 560 + 64 = 624

The given point (-3,-4) is on the terminal side of an angle in standard position. How do you determine the exact value of the six trig functions of the angle?

Answers

In this problem -3 will be the adyacent side, -4 will be the opposite side and wwe can calculate the hypotenuse so:

[tex]\begin{gathered} h^{}=\sqrt[]{(-3)^2+(-4)^2} \\ h=\sqrt[]{9+16} \\ h=\sqrt[]{25} \\ h=5 \end{gathered}[/tex]

So the trigonometric function will be:

[tex]\begin{gathered} \sin (\theta)=-\frac{4}{5} \\ \cos (\theta)=-\frac{3}{5} \\ \tan (\theta)=\frac{4}{3} \\ \csc (\theta)=-\frac{5}{4} \\ \sec (\theta)=-\frac{5}{3} \\ \cot (\theta)=\frac{3}{4} \end{gathered}[/tex]

5-3/2x>1/3what is x?

Answers

Coco, this is the solution to the inequality:

5 - 3x/2 ≥ 1/3

Subtracting 5 at both sides:

5 - 3x/2 - 5 ≥ 1/3 - 5

-3x/2 ≥ 1/3 - 15/3

-3x/2 ≥ -14/3

LCD (Least Common Denominator) between 2 and 3 : 6

-9x/6 ≥ -28/6

Dividing by -9/6 at both sides:

-9x/6 / -9/6 ≥ -28/6 / -9/6

x ≥ 28/9

In consequence, the correct answer is C. x ≥ 28/9

Other Questions
Can someone plss help me PLSSSS a winter storm that blows cold wind at least 56 km/hr and has falling or blowing snow that reduces visibility to less than 400 m for at least three hours is classified as a(n) blank . multiple choice question. helpppppppppppppppppppppppppppppppppppppp 10 Km to 20 m convert into ratio talia is the sales rep for atv communication systems. she wants to bid on the rfp issued by state university for distance learning technology. talia knows she will need to provide the university with detailed information, demonstrations of the firm's technology, and training sessions for faculty and students. she will also need to build relationships and learn about the key members of the university's buying center. the type of buying situation is best described as a(n) a line with a slope of 1/3 and containing the point (-4,7) Factor the monomial 16xy What did rhode island think about the Election of Lincoln? what is the difference between eukaryotic and prokaryotic cells? (give 5 differences) Dave receives a salary of $200 a week plus a commission of 10% of his weekly sales. an equation y = m x b represents daves weekly earnings. the y-intercept is daves base salary. the slope of the line is his commission. write an equation representing daves weekly earnings. a. y = negative 0.1 x minus 200 b. y = 0.1 x minus 200 c. y = negative 0.1 x 200 d. y = 0.1 x 200 Lessons of Dr. Martin Luther King, Jr. By- Cesar Chavez1. Review and Clarify With your group, reread paragraphs 45-50 ofhe refers to "economic slavery"? Do you think Chavez's use of this term is"Lessons of Dr. Martin Luther King, Jr." What does Chavez mean whenjustified based on the evidence he presents? Explain.2. Present and Discuss Now, work with your group to share other keypassages from "Lessons of Dr. Martin Luther King, Jr." What made youchoose these particular sections? Take turns presenting your choices.Discuss parts of the text that you found to be most meaningful, thequestions you asked, and the conclusions you reached as a result ofreading those passages.3. Essential Question: How can words inspire change? What have yourlearned about the power of words from reading this speech? A box contains 6 red pens, 4 blue pens, 8 green pens, and some black pens. Leslie picks a pen and returns it to the box each time. the outcomes are: number of times a red pen is picked: 8number of times a blue pen is picked: 5 number of times a green pen is picked: 14number of times a black pen is picked: 3Question: if the theoretical probability of drawing a black pen is 1/10, how many black pens are in the box? J is the midpoint of CT if CJ=5x-3 and JT=2x+21 find CT 6. Line 1 passes through the points (1,4) and (-2,5). Line 2 passes through the points (1,0) and (0,3). What is true about Line 1 and Line 2? (2 points) (A) (B) They are perpendicular. They are parallel. They both decrease. They both increase. (C) (D) if for some reason americans desired to increase their purchases of foreign assets, then other things the same a. the real exchange rate would fall and the quantity of dollars exchanged in the market for foreign currency would rise. b. the real exchange rate would rise and the quantity of dollars exchanged in the market for foreign currency would fall. c. both the real exchange rate and the quantity of dollars exchanged in the market for foreign currency would fall. d. both the real exchange rate and the quantity of dollars exchanged in the market for foreign currency would rise. explain absolute entropies and it's determination in terms of heat capacity find the area of the circle with a circumference of 30. write your solution in terms of Find p(-1) and p(2) for p(x)=4-3x A set of data is summarized by the stem and leaf plot below. Martin and Isabelle go bowling. Each game costs $10, and they split that cost. Martin has his own bowling shoes, but Isabelle pays $3 to rent shoes.Which graph shows a proportional relationship? Explain why.