madyisaqueen madyisaqueen
  • 08-09-2020
  • Mathematics
contestada

mZRST = (7x + 11)
0
mZRQP = (4x + 32)
mZRST and mZRQP are alternate exterior angles.
Solve for x and find the measure of mZRST and mZRQP

mZRST 7x 11 0 mZRQP 4x 32 mZRST and mZRQP are alternate exterior angles Solve for x and find the measure of mZRST and mZRQP class=

Respuesta :

jimrgrant1 jimrgrant1
  • 08-09-2020

Answer:

see explanation

Step-by-step explanation:

Alternate exterior angles are congruent, thus

∠ RST = ∠ RQP , substitute values

7x + 11 = 4x + 32 ( subtract 4x from both sides )

3x + 11 = 32 ( subtract 11 from both sides )

3x = 21 ( divide both sides by 3 )

x = 7

Thus

∠ RST = 7(7) + 11 = 49 + 11 = 60°

∠ RQP = 4(7) + 32 = 28 + 32 = 60°

Answer Link

Otras preguntas

Where did early Greeks settle? A. Along coasts and river valleys B. Peaks of mountains C. On separate islands D. The base of Pindus Mountains
Which characteristic best distinguishes quantitative data from qualitative data
Which of these is a good conductor? A. silver B. rubber C. paper D. cotton
9879-6796 this is what it says on my job application it says to show your work as well
evaluate 7/6+1/4+7/12=
how does the speed of the different molecules that make up the air depend on their masses?
What was the goal of the green revolution?
Without a cuticle, a plant _____. will lose water more quickly cannot perform photosynthesis cannot store food will lose oxygen to the air
what element is used for the shiny trim on cars?
There are six rows with 18 chairs in each row. In the center of those chairs for rows of six chairs are brown. The rest of the chairs are blue. How many chairs