△ABC∼△DEF , △ABC has a height of 20 inches, and △DEF has a height of 24 inches.

1 answer:

7 0

△ABC∼△DEF
Height of △ABC: h1=20 inches
Height of △DEF: h2=24 inches
Ratio of the area of △ABC to the area of △DEF: R=?

R=(h1/h2)^2
R=[ (20 inches) /(24 inches) ]^2
R=(5/6)^2
R=5^2/6^2
R=25/36

Answer: The ratio of the area of △ABC to the area of △DEF is 25/36

You might be interested in

What is 35300 in the sceincetific notation

wel

35300 x 10⁰

3530 x 10¹

353 x 10²

35,3 x 10³

3,53 x 10⁴

0,353 x 10⁵

5 0

3 years ago

Read 2 more answers

What happens to the image of a figure that is rotated 90° counterclockwise?

Paul [167]

I think the answer is A

6 0

3 years ago

If you add Natalie's age and Fred's age, the result is 39. If you add Fred's age to 4 times Natalie's age, the result is 78.

Darina [25.2K]

Step-by-step explanation:

We can write this word problem as two variables. Let us assume that:

x = Natalie's age

y = Fred's age

The first part of the word problem is that "If you add Natalie's age and Fred's age, the result is 39." Therefore:

Natalie's age + Fred's age = 39

x + y = 39

This will be our first equation. The second equation can be derived from the statement that "If you add Fred's age to 4 times Natalie's age, the result is 78." Therefore:

(4 times Natalie's age) + Fred's age = 78

4x + y = 78

We can now form a system of equations and solve for both x and y:

$\left \{ {{x + y = 39} \atop {4x + y = 78}} \right.$