inyoskinot02re inyoskinot02re
  • 21-08-2019
  • Mathematics
contestada

Quadrilateral RSTU is a rectangle with diagonal RT. If rtu 8x + 4 and str = 3x – 2, find x

Respuesta :

calculista
calculista calculista
  • 22-08-2019

Answer:

x=8

Step-by-step explanation:

we know that

If Quadrilateral RSTU is a rectangle

then

The measure of angle STU is a right angle

m∠STU=90°

m∠STU=m∠STR+m∠RTU

so

m∠STR+m∠RTU=90° -----> complementary angles

substitute the given values

(3x-2)+(8x+4)=90°

Solve for x

11x+2=90

11x=90-2

11x=88

x=8

Answer Link

Otras preguntas

This is a plastid with chlorophyll in plants that photosynthesize.
If students at summer camp spent 4 hours 25 minutes at the pool learning to swim. In the morning they spent 2 hours 48 minutes at the pool. How long did the stu
In the novel Grendel, Grendel is trapped in a tree. His mother rescues him and they return to her cave. Which statement best summarizes Grendel’s experience in
The Apache Taxi Company charges $2.50 to pick up a passenger and then adds $1.95 per mile. Isaac was charged $27.46 to go from one city to another. If x represe
A student writes in a laboratory notebook: I placed a piece of iron in a beaker of water and the iron sank to the bottom of the beaker. -- What the student wrot
What was the purpose of the Spanish Inquisition
Why did the globe theatre close for a few years
A basketball team played 50 games. They won 60% of them. How many games did they win?
Which of the following BEST describes the theory of natural selection
Here is a picture of a math problem.