4. e Building on the Essential Question How are the
measures of the angles related when parallel lines are
cut by a transversal?

Answer:

125˚

Step-by-step explanation:

The angles given are supplementary. So we can set up the equation :

(3x+5)+(x+15)=180

Then we can solve for x.

Combine like terms:

4x+20=180

4x+20-20=180-20

4x=160

4x/4=160/4

x=40

Now we plug in 40 for x.

3(40)+5=<A

120+5=<A

<A=125

Answer:

Airspeed:180 go

160 No Go

210 Go

130 No Go

vs=20mph

Step-by-step explanation:

class

Answer:

Airspeed:180 go

160 No Go

210 Go

130 No Go

vs=20mph

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is necessary to isolate the term of x from one side of an inequality to find its solution.

First, add by 8 from both sides.

[tex]\sf{-4x-8+8 > -20+8}[/tex]

Solve.

-20+8=-12

Rewrite the problem down.

[tex]\sf{-4x > -12}[/tex]

Multiply by -1 from both sides.

(-4x)(-1)<(-12)(-1)

Solve.

Multiply the numbers from left to right.

(-12)(-1)=12

4x<12

Divide by 4 from both sides.

4x/4<12/4

Solve.

Divide the numbers from left to right.

12/4=3

x<3

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

Option D.

These equations prove it true.

[tex]-4 * 2 - 8 = -16 > -20[/tex]

[tex]-4 * 1 - 8 = -12 > -20[/tex]

The only reason these two equations are correct, is because on the number line it shows: Any negative number further to the right than the last negative number is greater than that number.

Black dot is the main point, Blue dot is solution 1, and Red dot is solution 2

Answer:

x = 57

Step-by-step explanation:

The value of x is 57.

Properties of Parallel Lines

Given:

lime m || n

So, using the property of parallel lines we have the angles on the same side of transversal are supplementary

x- 5 + 2x +14= 180

3x + 9 = 180

3x = 171

x= 171/3

x= 57

Hence, the value of x is 57.

Learn more about parallel lines here:

https://brainly.com/question/16701300

#SPJ2

Answer:

A and B are the correct answers

Step-by-step explanation:

Answer: A because im just guessing

Answer:

Surface Area = 2×(3.4×18 + 3.4×30.6 + 18×30.6) = 1432.08 centimeters2

Step-by-step explanation:

Answer:

The length of one side is 10 feet

Step-by-step explanation:

This is because the area of a square can be found through the formula side x side or [tex]side^{2}[/tex]. You can find the length of one side by finding the square root of the area. You would get both a positive and negative value for the square root but you want a positive value because a length cannot be negative.

Answer:

the answer is

1017.88.

in terms of pi

Answer:

There is a positive correlation happening.

Step-by-step explanation:

A positive correlation happens when both of the sequences are going up. In the first sequence, the terms go up by 2. In the second one, the terms go up by 1. While the do not have the same common difference, the two sequences still increase. This makes the relationship a positive one.

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I hope this helps!

-No one

Answer:

2,4,6,8,10 You multiply by 2 each time

1,2,3,4,5 You add 1 each time

Step-by-step explanation:

You multiply 2 and you add 1

your welcome and pls give me the brainliest

Let's simplify these ratios:-

1. 3:9

Divide both sides by 3:-

1:3

 2. 9:27

Divide both sides by 9:-

1:3

  3. 2:4

Divide both sides by 2:-

1:2 (Option C)

 4. 30:90

Divide both sides by 30:-

1:3

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

942.4777960769 square feet - sorry if I am wrong

Step-by-step explanation:

The area fo a circle is pi x Radius to the power of 2. 20 ft is the radius and 20x20= 400. 400 x Pi = 1,256.6370614359. The house takes up 1/4 of the whole area so 1,256... ÷ 4 = 314.159265359. This is the value of 1/4 of the area so times 314... times 3 to get 3/4ths of the area. 942.4777960769

Working with fractions can be tricky, so I like to start by multiplying everything by the LCM of the denominators of the fractions.

In this case, both fractions have a denominator of 4, which means that the LCM is 4 and we will be multiplying everything by 4.

1/4x - 1 = 3/4x - 5

---The below equation looks much more familiar and appears easier to solve.

1x - 4 = 3x - 20

-4 = 2x - 20

16 = 2x

x = 8

Answer: C, x = 8

Hope this helps!

Answer:

The answer is 192.33

Step-by-step explanation:

A coaster measures 7 cm in diameter. The total area of five roller coasters must be determined.

The diameter of the coaster is d = 7 cm

The radius is:

[tex]r =[/tex] [tex]\frac{d}{2}[/tex]

[tex]=[/tex] [tex]\frac{7}{2}[/tex] [tex]cm[/tex]

[tex]= 3.5[/tex] [tex]cm[/tex]

The area of the circle is:

[tex]A =[/tex] [tex]\pi r^{2}[/tex]

= (3.14 x 3.5^2) [tex]cm^{2}[/tex]

[tex]= 38.465[/tex] [tex]cm^{2}[/tex]

We now know that the area required for five coasters is 5 x 38.465 [tex]cm^{2}[/tex]

[tex]= 192.325[/tex] [tex]cm^{2}[/tex]

Round 192.325 to the nearest hundredth and you'll get 192.33 as the correct answer.

I hope this helps! ^-^

Answer:

There are 46 eggs left

Step-by-step explanation:

18 x 4 = 72 - 26 = 46

Answer:

46

Step-by-step explanation:

so what you need to do is 18 times 4 crates then they eaten 26 so its 18 times 4 - 26 welcome

Answer:

The horizontal line is the x axis

the vertical line is the y axis

The first number is always the number of the x axis

Example.

(6,9)

6 is in the x axis

9 is in the y axis

find the number 6 in the x axis (the horizontal one) and then go up until the number 9.

Answer:

I drew it for you.

Step-by-step explanation:

Hope I helped!! Pls give brainliest if I helped.

Answer:

27.778, so 5 significant digits

Step-by-step explanation:

Answer:12p+36>480

Step-by-step explanation: I got the answer somewhere else but I’m not 100% sure if it’s right

Answer:

Reflected along x axis

Translated 7 units to the right

A transformation of a point is the movement of the point from its initial position to a new position. If an object is transformed, all its points are also transformed. Types of transformation are reflection, rotation, dilation and translation.

Figure ABCD has A at (- 4, 4), B at (- 2, 2), C at (- 2, - 1), D at (- 4, 1).

If a point (x, y) is reflected along the x axis, its x coordinate remains the same and the y coordinate is opposite (negated). The new point is at (x, -y)

If a point (x, y) is translated h units to the right, the new coordinate is (x+h, y).The transformation are as follows:

It is reflected along the x axis so that the new coordinates would be at A1 at (- 4, -4), B1 at (- 2, -2), C1 at (- 2, 1), D1 at (- 4, -1)

It is translated 7 units to the right, The new coordinates are A' at (3, -4), B' at (5, -2), C' at (5, 1), D' at (3, -1)

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

113 = x + 72

subtract 72 from both sides

41 = x  

i cant process what your saying

Answer:

1)  a = 16.38 (nearest hundredth)

   b = 11.47 (nearest hundredth)

2)  b = 14.14 (nearest hundredth)

    c = 15.36 (nearest hundredth)

Step-by-step explanation:

Sine Rule

[tex]\sf \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

Question 1

The interior angles of a triangle sum to 180°

⇒ m∠B = 180° - 90° - 55° = 35°

Given:

[tex]\implies \sf \dfrac{a}{\sin 55}=\dfrac{b}{\sin 35}=\dfrac{20}{\sin 90}[/tex]

[tex]\implies \sf a=\dfrac{20\sin 55}{\sin 90}=16.38304089...[/tex]

[tex]\implies \sf b=\dfrac{20\sin 35}{\sin 90}=11.47152873...[/tex]

Question 2

The interior angles of a triangle sum to 180°

⇒ m∠B = 180° - 90° - 23° = 67°

Given:

[tex]\implies \sf \dfrac{6}{\sin 23}=\dfrac{b}{\sin 67}=\dfrac{c}{\sin 90}[/tex]

[tex]\implies \sf b=\dfrac{6\sin 67}{\sin 23}=14.13511419...[/tex]

[tex]\implies \sf c=\dfrac{6\sin 90}{\sin 23}=15.35582799...[/tex]

Answer:The difference between the medians is 2.5

Step-by-step explanation: So how I did this is first I found the median of the two plots (median=the middle number in a group of values) so anyway I lined it all out because I find it easier to do it that way (20,25,25,30,30,30,30) so the answers I got for both plots were -plot A=32.5 and plot B=30 than difference means subtract so 32.5-30=2.5

Answer:

A: <5. 5 Matches <7. So whatever angle measure <5 is, that is what <7 is.

b: (4(<6)+2)

c: x=<45

Step-by-step explanation:

C:180/4 = 45

Answer:

Step-by-step explanation:

(a)<7 is 66 degrees, because <7 and <5 are vertical angles.

(b) (4x + 2) + 66 = 180

(c) (4x + 2) + 66 = 180

4x + 2 = 114

4x = 112

x = 28

Answer:

C - The other answers have no solutions...

Hope This Helps! :) Please Give brainliest if this helped you!

The cost of one box of paper clips is $1.85 and the cost of one package of index cards is $3.95

Step-by-step explanation:

Eldora and Finn went to an office supply store together

Eldora bought 15 boxes of paper clips and 7  packages of index cards for a total cost of $55.40

Finn bought 12 boxes of paper clips and 10 packages of  index cards for a total cost of $61.70

We need to find the cost of one box of paper clips and the cost of one package of  index cards

Assume that the cost of one box of paper clips is $x and the cost of one package of  index cards is $y

∵ x represents the cost of one box of paper clips

∵ y represents the cost of one package of  index cards

∵ Eldora bought 15 boxes of paper clips and 7  packages of

 index cards for a total cost of $55.40

∴ 15x + 7y = 55.4 ⇒ (1)

∵ Finn bought 12 boxes of paper clips and 10 packages of  

 index cards for a total cost of $61.70

∴ 12x + 10y = 61.7 ⇒ (2)

Now we have system of equations to solve it

Multiply equation (1) by -10 and equation (2) by 7 to eliminate y

∵ -10(15x) + -10(7y) = -10(55.4)

∴ -150x - 70y = -554 ⇒ (3)

∵ 7(12x) + 7(10y) = 7(61.7)

∴ 84x + 70y = 431.9 ⇒ (4)

Add equations (3) and (4)

∵ (-150x + 84x) + (-70y + 70y) = (-554 + 431.9)

∴ -66x = -122.1

- Divide both sides by -66

∴ x = 1.85

Substitute the value of x in equation (1) or (2) to find y

∵ 12(1.85) + 10y = 61.7

∴ 22.2 + 10y = 61.7

- Subtract 22.2 from both sides

∴ 10y = 39.5

- Divide both sides by 10

∴ y = 3.95

The cost of one box of paper clips is $1.85 and the cost of one package of index cards is $3.95

(this is an answer I got previously)