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Pachacha [2.7K]
3 years ago
15

The dashed triangle is the image of the solid triangle. The center of dilation is (6, 6).

Mathematics
1 answer:
notsponge [240]3 years ago
8 0

Dilation involves changing the size of a shape.

The scale factor from the solid triangle to the dashed triangle is 0.2

To calculate the dilation from the solid triangle to the dashed triangle, we calculate the length of corresponding sides of both triangles.

The measure of the corresponding sides at:

\mathbf{Solid = 15}

\mathbf{Dashed = 3}

The scale factor (k) is then calculated as:

\mathbf{k = \frac{Dashed}{Solid}}

This gives

\mathbf{k = \frac{3}{15}}

Divide

\mathbf{k = 0.2}

Hence, the scale factor from the solid triangle to the dashed triangle is 0.2

Read more about dilations at:

brainly.com/question/13176891

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Svetach [21]

Answer:

70

Step-by-step explanation:

You have to find the vertical of x. To the right of the vertical, we see that there is an angle of 25 (since the 25 up top corresponds to that blank angle). Once you add 25 + 85 + x = 180 (since this is a straight line), we see that x is 70, and its vertical is also 70.

8 0
4 years ago
If a fire engine is traveling down the interstate driving 55 mph and reaches the reported vehicle fire 13 minutes, approximately
sashaice [31]

Answer:

\large \boxed{\text{12 mi}}

Step-by-step explanation:

1. Convert miles per hour to miles per minute

\text{Speed} =\dfrac{\text{55 mi}}{\text{1 h}} \times \dfrac{\text{1 h}}{\text{60 min}}= \text{0.917 mi/min}

2. Calculate the distance

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d = \text{13 min} \times \dfrac{\text{0.917 mi}}{\text{1 min}} = \textbf{12 mi}\\\text{The engine travelled about $\large \boxed{\textbf{12 mi}}$}

5 0
3 years ago
In preparation to buy a new video game that cost $65, your friend plans on saving money each month for the purchase of the game.
andreev551 [17]

Answer:

After 20 months

Step-by-step explanation:

This is a compound growth problem which has the formula:

F=P(1+r)^t

Where

F is future value

P is present amount

r is the rate of growth

t is the time (in months)

Future amount is $65, what he needs at-least

P is the initial amount, that is $10

r is the rate of growth, which is 10% or 10/100 = 0.1

t is time in months, what we need to find

Substituting and solving we get:

F=P(1+r)^t\\65=10(1+0.1)^t\\65=10(1.1)^t\\6.5=1.1^t\\ln(6.5)=ln(1.1^t)\\ln(6.5)=t*ln(1.1)\\t=\frac{ln(6.5)}{ln(1.1)}\\t=19.64

<u>He would need 19.64 months to save up at-least 65. So, that means, he would need 20 months</u>

5 0
3 years ago
Half a number is thirty-two
alukav5142 [94]

Answer:

64?

Step-by-step explanation:

32+32=64

have a nice day

5 0
3 years ago
Recall the following study: Over a 17-year period researchers studied a sample of 707 individuals from a single community. They
Nuetrik [128]

Your question is incomplete

I have provided the various variables used in the question and their types

Step-by-step explanation:

The independent/explanatory variable in this question is the number of hours spent watching tv. This variable is what is used to explain the changes that occurs in the dependent variable.

The dependent/response variable is the number of aggressive actions that the individual commits. This is the variable we are interested in. This variable is measured using the independent variable.

The confounding variable is gender. And this variable has an impact on both the dependent and the explanatory variables.

8 0
3 years ago
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