Isosceles trapezoid ABCD is shown below with a line EF drawn through its center. If the isosceles trapezoid is dilated using a scale factor of one half and a line is drawn through the center of the new dilated figure, what relationship will that line have with line EF in the drawing below? (10 points)

Answer:

Each base angle of one triangle is 54°

Step-by-step explanation:

Since the angles meeting in the center are congruent and all form 360° then it means each angle will be 360°/5 = 72°(since we have 5 angles).

Since they are all isosceles triangles, it means two base angles are equal and can be gotten by:

(180 – 72)/2 = 54°.

Each base angle of one triangle is 54°

The measure of a base angle of one of the triangles is 54°.

Given that,

A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex.

A regular pentagon is shown. Lines are drawn from each point to a point in the center to form congruent isosceles triangles.

The lengths of all lines are congruent. The total number of degrees of all center angles is 360 degrees.

The total number of degrees in the center is 360°. If all five vertex angles meeting at the center are congruent,

We have to determine,

What is the measure of the base angle of one of the triangles?

According to the question,

The lengths of all lines are congruent. The total number of degrees of all center angles is 360 degrees.

The total number of degrees in the center is 360°. If all five vertex angles meeting at the center are congruent,

The angles meeting in the center are congruent and all form 360°.

then it means each angle will be,

[tex]=\dfrac{360}{5}\\\\= 72 \ degree[/tex]

There are 5 angles.

Therefore,

All isosceles triangles, it means two base angles are equal and can be,

[tex]=\dfrac{180-72}{2}\\\\=\dfrac{108}{2}\\\\=54[/tex]

Hence, Each base angle of one triangle is 54°

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I won't be able to graph for you because I am currently on phone but I will tell how to graph an Inequality in coordinate plane.

[tex] {x}^{2} + 4 < 0[/tex]

We don't need to solve the Inequality. The graph will do.

We draw the parabola with the vertex at (0,4) Basically plot point (0,4) then draw parabola.

Because it is < sign, thus the shade/region will be below the graph.

So the shade will be outside of the curve and not inside.

Answer:

x=0 does not mean no solution

Step-by-step explanation:

so kyra is incorrect

Answer:

60 po

Step-by-step explanation:

kase na try ko na ehh

Answer:

The correct answer is 15 kilometers.

Step-by-step explanation:

We know that your bike is 30 kilometers per every 2 hours. However, we need to find the speed per hour.

In order to find this quantity, we simply need to divide 30 kilometers by 2.

30 ÷ 2 = 15

Therefore, the correct answer is 15 kilometers.

Hope this helps! :D

Answer: g(x)= |x-1| + 3

Step-by-step explanation: the |x-1| means you need to move the vertex to the right by one and the +3 means you must move the vertex up by three

The equation that represents the function on a coordinate plane is [tex]g(x) =|x - 1| + 3[/tex]

The vertex is given as:

[tex](h,k) = (1,3)[/tex]

An absolute function is represented as:

[tex]y = a|x - h| + k[/tex]

Substitute 1 for h, and 3 for k

[tex]y = a|x - 1| + 3[/tex]

Assume that the value of (a) is 1

[tex]y = 1 \times |x - 1| + 3[/tex]

So, we have:

[tex]y =|x - 1| + 3[/tex]

Represent as a function

[tex]g(x) =|x - 1| + 3[/tex]

Hence, the equation that represents the function on a coordinate plane is [tex]g(x) =|x - 1| + 3[/tex]

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Answer:

C = (0, 6)

E = (7, 0)

F = (0, -7)

Step-by-step explanation:

Answer: F is (0,-7)

C is (0,6)

E is (7,0)

Step-by-step explanation:

Answer:

2x+9

Step-by-step explanation:

Answer:

No of cigarettes

15 years of age = 14600 cigarettes  

19 years of age = 43800 cigarettes  

25 years of age = 87600 cigarettes

50 years of age = 270100 cigarettes

No of packs

15 years of age = 730 packs

19 years of age = 2190 packs

25 years of age = 4380 packs

50 years of age = 13505 packs

Step-by-step explanation:

Jason started smoking when he turned 13 years of age.

Average smoking per day = 1 pack = 20 cigarettes

No of Cigarettes consumed

       No of days = 730 days

       No of cigarettes = 730 * 20 = 14600 cigarettes  

        No of days  = 6*365 = 2190 days

        No of cigarettes = 2190*20 = 43800 cigarettes  

        No of days  = 12*365 = 4380 days

        No of cigarettes = 4380*20   = 87600 cigarettes

        No of days = 37*365  = 13505

        No of cigarettes = 13505*20 = 270100 cigarettes

No of packs

15 years of age = 14600/20 = 730 packs

19 years of age = 2190 packs

25 years of age = 4380 packs

50 years of age = 13505 packs

Answer:

5:3

Step-by-step explanation:

hope this help brainliest pls

First, lets call the larger circle "A" and the smaller circle "B".

Answer:

YES.

Step-by-step explanation:

Given:

Weight of turkey with bone = 23 pound

Weight of turkey without bone = 17 pound

Computation:

Weight of turkey without bone percent = [17/23]100

Weight of turkey without bone percent = 73.913 %

Weight of turkey without bone percent = 74% (Approx)

So,

Damian says correct.

Answer:

The Triangles are proportional

Step-by-step explanation:

This is because the difference in each triangle is that each one is adding one inch to each side

pls put me as brainiest

Given:

The given figure is dilated by a scale factor 1.5.

To find:

The coordinates of B' and C'.

Solution:

If a figure is dilated by a scale factor k at point (a,b), so the rule of transformation is

[tex](x,y)\to (k(x-a)+a,k(x-b)+b)[/tex]

From the given figure it is clear that A(3,-3), B(-2,2) and C(-3,-5).

The figure is dilated by a scale factor 1.5 at point A(3,-3), so the rule of transformation is

[tex](x,y)\to (1.5(x-3)+3,1.5(x-(-3))+(-3))[/tex]

[tex](x,y)\to (1.5(x-3)+3,1.5(x+3)+(-3))[/tex]

[tex](x,y)\to (1.5(x)-4.5+3,1.5(x)+4.5-3)[/tex]

[tex](x,y)\to (1.5x-1.5,1.5x+1.5)[/tex]

Using this rule, we get

[tex]B(-2,2)\to B'(1.5(-2)-1.5,1.5(2)+1.5)[/tex]

[tex]B(-2,2)\to B'(-3-1.5,3+1.5)[/tex]

[tex]B(-2,2)\to B'(-4.5,4.5)[/tex]

And

[tex]C(-3,-5)\to C'(1.5(-3)-1.5,1.5(-5)+1.5)[/tex]

[tex]C(-2,2)\to C'(-4.5-1.5,-7.5+1.5)[/tex]

[tex]C(-2,2)\to C'(-6,-6)[/tex]

Therefore, the coordinates of B' and C' are B(-4.5,4.5) and C'(-6,-6).

Answer:

i don't have the answer but i can add the chart for thos who can answer the question

Step-by-step explanation:

Answer:

1. Reflection

2. rotation and reflection

3. b', b''

4. 26.3

Step-by-step explanation:

1. It is like looking in a mirror. Its is being reflected across the y axis

2. It is rotated 90 degrees to the right. Then reflected over the x axis.

3. they are the same

4. It is the same as A" B" C" D" so the lengths are the same and you just add them.

Step-by-step explanation:

Answer:

85 mph

Step-by-step explanation:

297.5 divided by 3.5

Answer:

Mr. Grouper can invite 528 people to his sons graduation party.

Step-by-step explanation:

x= number of people

3.50x +150 =2000

-150

3.50x = 1850

1850/ 3.50

528.571428571  = 528

Mr. Grouper can invite around a total of 528 people to attend for the graduation party of his son.

Equation is a statement including expressions on two sides related by an '=' sign. This may or may not include two or more variables and can be solved using various methods.

Total budget for the graduation party = $2000

Cost to rent the venue = $150

Cost of gift for each guest = $3.50

Let n be the number of guests invited for the party.

Then 3.50n will be the total cost for the guests.

Then we have the linear equation,

150 + 3.50 n = 2000

Solving this will get the number of guests, n.

3.50n = 2000 - 150

3.50n = 1850

n = 1850 / 3.50

n = 528.57 ≈ 528

Hence Mr. Grouper can invite almost 528 people to his son's graduation party.

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Answer:

use 2 variable for the problem. say pear=x apple=y.

3x+4y=1.6

Step-by-step explanation:

Answer:

1:4 and 6:24

Step-by-step explanation:

Answer:

1:4 and 16:18 or 3:1

Step-by-step explanation:

1:4 because 1 x 3=3 and 3 x 4=12,

3 x 1=3 and 1 x 12=12,

4 x 4=16

6 x 3= 18

The population density in the United States is D = 92.1 people/mi^2

How to get the population density?

To get the population density, we need to take the quotient between the total number of people and the area.

In this case, we know that the total population is 325.7 million, and the area of the United States is  3,535,932 mi^2

Then the population density:

D = (325.7 million)/( 3,535,932 mi^2) = 9.21*10⁻⁵ million/mi^2

And we know that 1 million = 1,000,000 = 1*10⁶

Then:

9.21*10⁻⁵ million/mi^2 = 9.21*10¹ people/mi^2 = 92.1 people/mi^2

This means that in each square mile in the United States, there are around 92.1 people.

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Answer: 1. a

2. 8

3. b

4. -2

5. c

6. d

7. a

8. a

9. d

10. d

Step-by-step explanation:

Answer:

It is xy

Step-by-step explanation:

Answer:

XY

Step-by-step explanation:

omit the hypotenuse (XZ) since it's always hypotenuse while the adjacent and opposite sides vary.

hypotenuse cannot be both adjacent and hypotenuse at the same time.

Answer:

the correct amount that Vince have to pay back altogether is $927

Step-by-step explanation:

The computation of the correct amount that Vince have to pay back altogether is as follows:

As we know that

Amount = Principal + Principal × rate of interest × time

= $900 + $900 × 0.015 × 2

= $900 + $27

= $927

Hence, the correct amount that Vince have to pay back altogether is $927

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Answer:

9/70

Step-by-step explanation:

Mathematically;

Average rate of change on an interval [a,b] is;

f(b) - f(a)/b-a

f(0) = -3/5

f(3) = -3/14

a = 0

b = 3

Making the substitution, we have

-3/14-(-3/5)/3-0

= 3/5-3/14/3

= (42-15)/70/3

= 27/70/3

= 27/70 * 1/3 = 9/70

Answer:

.592 the full thing is .592797783934

Step-by-step explanation:

calculator

Answer:

y = 10x - 46

Step-by-step explanation:

slope intercept form: y = mx + b

m is slope and b is y-intercept

given: y - 4 = 10(x-5)

1. distibute 10

y - 4 = 10x - 50

2. we need to get y by itself so bring -4 to other side

y = 10x - 50 + 4

y = 10x - 46

slope-intercept form is [tex]y=mx+b[/tex]

[tex]y=10(x-5)+4[/tex]          ↣ We move -4 to another side and become positive number.

[tex]y=(10x-50)+4[/tex]             ↣ Distribute 10 inside the brackets.

[tex]y=10x-50+4\\y=10x-46[/tex]            ↣ Then we get the slope-intercept form.

Thus, the answer is [tex]y=10x-46[/tex]

Answer:

20 percent or 0.7 .

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

|30 - 5| - |-7| = 18