if the angles of triangle RST and measure of angle R= (9x-2)degrees, and the measure of angle S=(4x+36) degrees, and measure of angle T= (5x+20), list the sides order from shortest to longest.

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11-11-2019
Mathematics

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if the angles of triangle RST and measure of angle R= (9x-2)degrees, and the measure of angle S=(4x+36) degrees, and measure of angle T= (5x+20), list the sides order from shortest to longest.

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flrhng flrhng · Answer 1 · 2019-11-11T01:20:25+01:00

flrhng flrhng

11-11-2019

Answer:

R, T, S

Step-by-step explanation:

R+S+T=180 degrees

9x-2+4x+36+5x+20=180

18+54x=180

54x=162

x=3

R=9*3-2 (substitute x with 3)

R=25

S=4*3+36

S=48

T=5*3+20

T=35

Shortest to longest: R, T, S

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meamtanya meamtanya · Answer 2 · 2020-12-21T01:57:29+01:00

Answer:

RS, ST, RT

Step-by-step explanation

1. Add up the angle expressions and set it equal to 180.

9x-2 + 4x+36 + 5x+20 = 180

18x +54 = 180

18x = 126

* You will get x to equal 7.

2. Next, plug 7 in for the x for the expressions.

You should get 61 for angle R.

You should get 64 for angle S.

You should get 55 for angle T.

3. Draw a triangle and label the points of the triangle R, S, and T. Put the angle values on the triangle.

4. Across from angle T (55°) on the triangle is side RS. Across from angle R (61°) on the triangle is side ST. Across from angle S (64°) on the triangle is side RT.

* The size of the angle corresponds with the size of the side across from it (for example; if an angle is the largest angle, then the side across from it will be the largest side).