Question

Consider the enlargement of the triangle.

A small triangle has a base of 1.7 feet and height of 9.3 feet. A larger triangle has a base of 3.5 feet and height of x feet.
Not drawn to scale

Rounded to the nearest tenth, what is the value of x?
15.8 feet
19.1 feet
23.3 feet
32.6 feet

Answer 1

Answer:B 19.1 feet

Step-by-step explanation:

Answer 2

The value of the x is 19.1 feet.

What is ratio?

"It is an ordered pair of numbers a and b, written $\frac{a}{b}$ where b does not equal 0."

What is proportion?

"When two ratios are equal then they are said to be in proportion."

For given question,

A small triangle has a base of 1.7 feet and height of 9.3 feet.

A larger triangle has a base of 3.5 feet and height of x feet.

Since it is the enlargement of the triangle, the sides of both the triangle must be in proportion.

$\Rightarrow \frac{1.7}{3.5}= \frac{9.3}{x}\\\\\ \Rightarrow 1.7\times x=3.5\times 9.3\\\\ \Rightarrow 1.7\times x=32.55\\\\ \Rightarrow x=19.14$

Therefore, the value of the x is 19.1 feet.

Learn more about the ratio and proportion here:

https://brainly.com/question/26974513

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