Given that TU=8x+11 and UV=12x−1, what are x, TU, UV, and TV?

Mathematics

1 answer:

Verizon [17]4 years ago

6 0

Answer:

TU=35, UV=35, TV=70

Step-by-step explanation:

8x+11 =12x−1 subtract 8x from both sides

11=4x-1 add one to both sides

12=4x divide both sides by 4

3=x

TU=8(3)+11

TU=35

UV=12(3)-1

UV=35

TV=35+35

TV=70

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3 years ago

Can someone help me with this

insens350 [35]

Let's solve this problem step-by-step.

STEP-BY-STEP EXPLANATION:

We will be using simultaneous equations to solve this problem.

The sum of angles on a straight line is 180°.

( R ) and ( 2x + 5 ) are both on the same straight line.

Therefore:

Equation No. 1 -

R + 2x + 5 = 180

R = 180 - 2x - 5

R = 175 - 2x

Vertically opposite angles are equivalent to each other.

( R ) is vertically opposite ( 3x + 15 ).

Therefore:

Equation No. 2 -

R = 3x + 15

Substitute the value of ( R ) from the first equation into the second equation to solve for ( x )

R = 3x + 15

175 - 2x = 3x + 15

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x = 160 / 5

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Next we will substitute the value of ( x ) from the second equation into the first equation to solve for ( R ).

Equation No. 2 -

R = 175 - 2x

R = 175 - 2 ( 32 )

R = 175 - 64

R = 111

FINAL ANSWER:

Therefore, the answer is:

R = 111

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Hope this helps! :)
Have a lovely day! <3

7 0

4 years ago

What is the distance, to the nearest hundredth, from (6, 5) to (−3, −8)?

Olin [163]

Answer:

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Step-by-step explanation:

Use the distance formula:

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