Perimeter and Area of Similar Quadrilaterals In this unit, you recognized how the perimeter and the area of similar triangles compare with one another. Let’s consider whether these ideas apply to quadrilaterals—shapes that have four sides.

Question 1

First you’ll study the perimeters of similar quadrilaterals. Open perimeter of similar quadrilaterals, and complete each step below.

Part A

Dilate quadrilateral ABCD with the origin as the center of dilation and a scale factor of 2.5. Record the side lengths of the corresponding sides in each quadrilateral. Round your answers to the hundredths place. Verify that the ratio of each side length of A′B′C′D′ to the corresponding side length of ABCD is equal to the dilation factor.

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Part B

Calculate the perimeter of each quadrilateral and the ratio of the perimeters. Round your answers to the hundredt

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

nope lol

step-by-step explanation:

i believe it’s 165 because if u add 137 and 58 u get 195 and then subtract that from 360 and there’s ur answer