Drag an answer to each box to complete this paragraph proof. given: triangle pqr with m∠p=(5x)° , m∠q=(5x)° , and m∠r=(8x)° . prove: x = 10 by the triangle sum theorem, the sum of the angles in a triangle is 180°. therefore, using the given and triangle sum theorem, . using the substitution property, (5x)°+(5x)°+(8x)°=180° . simplifying the equation gets 18x = 180. finally, using the division property of equality, m< p+m< q+m< r=90 degrees    m< p+m< q+m< r=180 degreesm< p+m< q+m< r=360 degrees x=5 x=10 x=18

Given: Triangle PQR with m∠P=(5x)° , m∠Q=(5x)° , and m∠R=(8x)° .

Prove: x = 10

Solution:

By the triangle sum theorem, the sum of the angles in a triangle is 180°. Therefore, using the given and triangle sum theorem,

1.

Using the substitution property, (5x)°+(5x)°+(8x)°=180° . Simplifying the equation gets 18x = 180. Finally, using the division property of equality,

x =

x =

$97520

step-by-step explanation:

add 6% to the value she got from selling the house.

  or  

step-by-step explanation:

if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

the expression is   or