3. given abcd ≅ fghj and mc = 9x - 7, mh = 5x + 13, find the value of x and the measures of angle c and angle h. show all work in order to receive credit!

Answers:

x = 5

m∠C = m∠H = 38 degrees

WORKINGS

Given that ABCD ≅ FGHJ

We know that corresponding angles of two congruent quadrilaterals are equal

Therefore,

m∠A = m∠F

m∠B = m∠G

m∠C = m∠H

m∠D = m∠I

Given,

m∠C = 9x – 7

m∠H = 5x + 13

Since m∠C = m∠H

9x – 7 = 5x + 13

Add 7 to both sides of the equation

9x – 7 + 7 = 5x + 13 + 7

9x = 5x + 20

Subtract 5x from both sides of the equation

9x – 5x = 5x – 5x + 20

4x = 20

Divide both sides of the equation by 4

4x/4 = 20/4

x = 5

To determine the measures of angle C and angle H

m∠C = m∠H

We know that m∠C = 9x – 7

Since x = 5

m∠C = 9(5) – 7

m∠C = 45 – 7

m∠C = 38

D.a relation only

Step-by-step explanation:

Relation: It is mapping between two non empty set A and B.

In relation any input value can have two or more than two output values.

Function: It is that relation in which every input value has only one output .

All function are relations but all relations are not function.

In given data

Image of 3 =4

Image of 3=3

By definition of function

It is not a function.

By definition of relation

It is a relation.

Hence, option D is true.