Use your knowledge of angle relationships to solve
for x in the diagram. Leave your answer as an exact
decimal.

Answer:

-9 7/15

Step-by-step explanation:

I took the test lol. Also if your in advanced you should know this!

The equilibrium quantity and equilibrium price are 34.62 and 25.42 respectively

The functions are given as

Demand: p^2 + 16q= 1200

Supply function: 300 - p^2 + 10q

Rewrite the demand function as

p^2 + 16q - 1200 = 0

At equilibrium, demand  = supply

So, we have:

p^2 + 16q - 1200 = 300 - p^2 + 10q

Using a graphing calculator, we have:

p = 25.42 and q = 34.62

Hence, the equilibrium quantity and equilibrium price are 34.62 and 25.42 respectively

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[tex]\Large\textbf{Twice a number x is this: \textsf{2x}}\\\\\\\textbf{The sum of that number and 14 is this: \textsf{x+14}}\\\\\\\textbf{2x\textgreater x+14}\\\\\textbf{x\textgreater14}[/tex]

Answer:

Yes

Step-by-step explanation:

8÷10+7÷100=

8/10 + 7/100=

80/100 + 7/100=     ==> make the denominators equal to each other

(80+7)/100=

87/100=0.87 √

Answer:

yes it does

Step-by-step explanation:

8÷10=0.8

7÷100=0.07

0.8+0.07=0.87

or the easy way ig

8÷10+7÷100=0.87

The time taken for the trip will be 12.7 hours.

It should be noted that time taken is calculated as:

Time = Distance / Speed

Distance = 700 miles

Speed = 55 mph

Time = 700/55

Time = 12.7 hours.

Therefore, the time taken for the trip will be 12.7 hours.

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From the given situation, we have that:

A) The linear equation is R(t) = 1970 - 24t.

B) 12 years from now, the total oil reserves will be 1682 billions of barrels.

C) Approximately 82.08 years from now.

A linear function is modeled by:

y = mx + b

In which:

For this problem, the parameters are given as follows:

b = 1970, m = -24.

Hence the linear function is:

R(t) = 1970 - 24t.

For item b, the amount is of R(12), hence:

R(12) = 1970 - 24(12) = 1682.

12 years from now, the total oil reserves will be 1682 billions of barrels.

For item c, we have to solve for t when R(t) = 0, hence:

1970 - 24t = 0

24t = 1970

t = 1970/24

t = 82.08.

Approximately 82.08 years from now.

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Answer:

Yes.

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

The tenths place is 4 while 5.343 tenths place is 3

Hope It Helps

Sorry If I'm Wrong

Answer:

  k = 110

Step-by-step explanation:

You want the integer multiple of pi that is the area of 300° of a donut with inner radius 8 cm and outer radius of 14 cm.

The area of a circle is given by the formula ...

  A = πr²

Then the area of the outer circle is ...

  A = π(14 cm)² = 196π cm²

The area of the inner circle is ...

  A = π(8 cm)² = 64π cm²

The area of the whole donut is the difference of these areas:

  whole donut area = (196 -64)π cm² = 132π cm²

The shaded area of the figure represents 300° of the 360° full donut. The area is proportional to the central angle, so the shaded area is ...

  shaded area = (300°/360°)×whole donut area

  shaded area = 5/6 × 132π cm² = 110π cm²

Comparing this to the expression kπ cm², we see that ...

  k = 110

The volume of the prism with length as 9 feet will be 9 w h where w is the width and h is the height of the prism.

We are given a prism.

It is a rectangular prism.

We are also given that it if 9 feet.

We need to find the volume of this rectangular prism.

V = w × h × l

where

w = width of the prism

h = height of the prism

l = length of the prism

Now, we are given that l = 9 feet

So, V = w × h × l

V = 9 w h

Therefore, we get that the volume of the prism with length as 9 feet will be 9 w h where w is the width and h is the height of the prism.

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Answer:

0.65

Step-by-step explanation:

To find the reflection of ΔABC in the x-axis, the points would move as follows:

Using the original coordinates, Δ A'B'C' is a reflection of Δ ABC in the line?

The triangles are?

The line of reflection Michael used is?

Reflection as used in geometry is the representation of an image in the mirror image copy. Reflection is done with respect to a line called line of reflection. Images formed are of equal distant to the line of reflection and the images are usually congruent.

Reflection as represented on a graph is most times in x axis or y axis. This axis shows the location of the line of reflection and it is very important when determining the position of the reflected image.

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Answer: 106 students

Step-by-step explanation:

In a 1:2 ratio, we can see that there are 2x the amount of students with brown/black hair compared to students with blonde hair.

So taking 212 students, we can divide the number by half to get 106 students.

[tex]\frac{212}{2} = 106[/tex]

By joining the entry point of all three friends to form a triangle and then finding the centroid of this triangle , they can calculate the required point.

If Lisa, Bree, and Caleb are meeting at an amusement park and  each enter at a different gate as shown in reference picture attached hereby, the friends could calculate the point that is equidistant from all three gates by the equation [(Distance between gate 1 and gate 2) = (Distance between gate 2 and gate 3) = (Distance between gate 1 and gate 3)]

As per question statement, Lisa, Bree, and Caleb are meeting at an amusement park and  each enter at a different gate as shown in reference picture attached hereby.

We are required to determine to calculate the point that is equidistant from all three gates.

The required equation goes as  [(Distance between gate 1 and gate 2) = (Distance between gate 2 and gate 3) = (Distance between gate 1 and gate 3)],

Where, they will have to use the distance formula to find the distances in between which goes as [tex]D=\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2} }[/tex], in the above mentioned equation.

Complete question: Lisa, Bree, and Caleb are meeting at an amusement park. They each enter at a different gate. On this diagram of the park, explain how the friends could calculate the point that is equidistant from all three gates.

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Answer:

10 for each

Step-by-step explanation:

1.90 x 10 = 19

2.10 x 10 = 21

so 19 + 21 = 30

answer: -0.9

correct me if I'm wrong

From the interquartile range of the distribution, the fences for non-outliers are given as follows:

The quartiles of the distribution are given as follows:

The interquartile range of a distribution is given by the difference of the third quartile by the first quartile, that is:

IQR = Q3 - Q1.

Outliers are given by:

For this problem, the IQR is:

IQR = 529.7 - 273.8 = 255.9.

Hence the fences are:

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The smaller number is 4 and the larger number is 10.

Given that, the sum of the two numbers is 14.

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that,  x represents the smaller of the two numbers.

Then the larger number is

The sum of twice the smaller number and two more than the larger number = 2x+2

Now, x+2x+2=14

⇒3x+2=14

⇒3x=12

⇒x=4

So, 2x+2=10

Therefore, the smaller number is 4 and the larger number is 10.

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R= is incorrect

the answer is china :)

Congruent segments are LK=MK, LK=7x-10, KN=x+3, MN=9x-11, and KJ=28,  the LJ  will be-

LJ = 18 + 28 = 46

LJ = 18 + 28 = 46

These are  Congruent segments

Let J, K, L, M, N are points on the same line.

MK = MN + (-KN) = MN - KN = 9x - 11 - x - 3 = 8x - 14

As LK = MK and LK = 7x - 10, then

7x - 10 = 8x - 14

8x - 7x = -10 + 14

x = 4

LJ = MK + KJ

MK = LK = 7x - 10 = 7(4) - 10 = 28 - 10 = 18

LJ = 18 + 28 = 46

Congruent segments are segments which have the equal length. ≅ points that lie at the equal line are called collinear.

A theorem is a mathematical assertion that can be proved. The midpoint of a phase is a point that divides the phase into two congruent segments

If three or more points lie on a single straight line, they are said to be collinear. An axis is a term used to describe a line on which points are located, particularly if that line is connected to a triangle or other geometric shape. Since two points determine a line, two points are trivially collinear.

Two line segments are congruent if they have the same length. They do not need to have the same position or orientation

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The number of sections of board that he can construct will be equal to 7.

We are given that:

A carpenter has 6 boards.

Length of each board = 7 / 8 yard long

Now, we will use multiplication.

Total length of cardboards available = 7 / 8 × 6 yards

Total length = 42 / 8 yards

Total length = 21 / 4 yards.

Now, 3/4 yard sections of board that he can construct will be:

Number of sections of board = 21 / 4 ÷ 3 / 4

Number of sections of board = 21 / 3

Number of sections of board = 7

Therefore, the number of sections of board that he can construct will be equal to 7.

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Answer juvhfVO"zohgvjozi nandish pro nbhvmno

The value of the logarithm log y = 7 for y will be e⁷.

We are given the logarithm problem as:

log y = 7

We need to solve this to find the value of y.

We will use the properties of logarithm for this.

So, we get that

⇒ e ^ log y = e ⁷

Solving it, we will get that:

⇒ y = e⁷

So the value of the logarithm log y = 7 for y will be e⁷.

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The  three equations with solution x=-5 Are as follows:

25 + x = 15 ............... equation 1.

7x = -35 .......................equation 2.

15 + x = 10 ..................equation 3

There is not more then one or two variables in a linear equation. In a linear equation, no variable is raised to a power larger than one or utilized as the denominator of a fraction. When you locate two values that satisfy a linear equation and display them on a coordinate grid, every one of the points falls on the same line.

A linear equation in one variable seems to be an equation that has just one solution and is stated in the form ax+b = 0, where a but instead b are two integers and x is a variable. 2x+3=8, for example, is a mathematical expression with a single variable.

x=-5 Given

This also can be written as :

25 + x = 15 ............... equation 1.

7x = -35 .......................equation 2.

15 + x = 10 ..................equation 3

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Answer:

Area=2044..... perimeter=221

Step-by-step explanation:

Step1:- Area =1/2×breath×height

1/2×73×56

1/2×4088

= 2044

Area =2044cm^2

Step2:- Perimeter= a+b+c

=73+56+92

=221

Perimeter=221cm

Answer:

theres no picture

The value of MN is 14 when the Points L, M, and N are collinear.

As per the question statement, we are supposed to find the possible value of MN when the Points L, M, and N are collinear.

Also, LM=21 and LN=35

As LN is greater than LM, point M has to be in between L and N for practicality and question existence.

[tex]LM+MN=LN\\MN=LN-LM\\LN=35\\LM=21\\MN=35-21\\MN=14[/tex]

Hence final answer is MN = 14

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If Ethan got his first job and is making $8.50 an hour. He really wants to buy a couple of video games, so he is trying to estimate how much his paycheck will be. The amount he can expect to bring home in his first paycheck is: $321.64.

Total hours=18 hours+25 hours

Total hours=43 hours

Income tax=Federal income tax+ State income tax

Income tax=10%+2%

Income tax=12%

Hence,
First paycheck:

First paycheck=$8.50×43 hours×(1-12%)

First paycheck=$8.50×43 hours×0.88

First paycheck=$321.64

Therefore if Ethan got his first job and is making $8.50 an hour. He really wants to buy a couple of video games, so he is trying to estimate how much his paycheck will be. The amount he can expect to bring home in his first paycheck is: $321.64.

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