Line segment AB is dilated to create line segment A'B' using point Q as the center of dilation.

Point Q is the center of dilation. Line segment A B is dilated to create line segment A prime B prime. The length of Q A is 1.25 and the length of A A prime is 1.25.

What is the scale factor?

1
1.25
2
2.5

The dilation or scale is the factor the dimensions of the preimage relative to the center of dilation is multiplied by to get the image.

Reasons:

The given parameters are;

The segment AB is dilated to form segment A'B'.

The center of dilation = The point Q

Length of QA = 1.25

Length of AA' = 1.25

Required:

The scale factor of the dilation.

Solution:

The scale factor of the dilation is given by the relation;

QA' = QA + AA' = 1.25 + 1.25 = 2.50

Therefore;

Learn more about dilation transformation here:

link

2

Step-by-step explanation:

To find the scale of dilation, you have to compare the ratio of the after transform with before transform according to the center of dilation. In this case, the center of dilation is Q so you have to compare QA' : QA. We know that QA= 1.25 and AA' is 1.25. The distance of QA' will be:

QA'= QA + AA'= 1.25 + 1.25 = 2.5

The scale factor will be:

scale factor= QA' : QA.= 2.5 : 1.25

scale factor= 2

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .