NEED ANSWERS ASAP The two triangles are similar. What is the value of x?

Mathematics

1 answer:

Alexus [3.1K]3 years ago

4 0

If the two triangles are similar, then by definition we have that the quotient between two sides of a triangle is equal to the quotient between two sides of the second triangle.
We have then:
((3x) / (4x + 2)) = ((20) / (28))
Clearing:
3x = (20/28) * (4x + 2)
28 * 3x = (20) * (4x + 2)
84x = 80x + 40
84x-80x = 40
4x = 40
x = (40) / (4)
x = 10
answer
The value of x is 10

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Evaluate f(-12) given f(x) = -21x - 12

frozen [14]

Answer:

The answer for the given function is f( -12 ) = 240.

Step-by-step explanation:

Given:

$f(x)=-21x-12$

To Find :

F ( -12 ) = ?

Solution:

Function:

A function is like a machine that gives an output for a given input.
A function has an independent variable which is called the input of the function.
The output for a given input is called the dependent variable.

For Example

f ( x ) = x + 3

x = independent variable

f ( x ) = Output for a given input

Here we have

$f(x)=-21x-12\\Put\ x=-21\\\therefore f(-12) = -21\times -12 - 12\\\therefore f(-12) = 252 - 12\\\therefore f(-12) = 240$