FluttershyK22
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WILL GIVE BRAINLIEST, 5 STARS, AND THANK YOU TO ANYONE WHO HELPS!

1. Given the two=column proof.

Given: x/6+2=15
Prove: x=78

x/6+2=15 a.__________
x/6=13 b.__________
x=78 c.__________

2. Complete the two-column proof.

Given: m angle RST=5x degrees and m angle UVW=7x degrees
angle RST and angle UVW are supplementary

Prove: x=15

Statements:
m angle RST=5x degrees and m angle UVW=7x degrees angle RST and angle UVW are supplementary

m angle RST+m angle UVW =180

5x+7x=180

12x-180

x=15

Reasons:

given

definition of supplementary angles

a._________

b._________

c.__________

Can someone please help with these two problems?

Respuesta :

fionahoxha261
The first one would be:
a.Given
b.Subtraction Property of Equality
c.Multiplication Property of Equality

The second one I think would be:
a.Substitution.
b.Addition of like terms.
c.Division property of equality.

The value of x in the expression (x/6 + 2 = 15) is 78 and the value of 'x' when angle RST and angle UVW are supplementary is 15 and this can be determined by using the arithmetic operations.

1)

Given :

Equation  ---  [tex]\dfrac{x}{6}+2=16[/tex]

Simplify the given equation using the arithmetic operations.

[tex]\dfrac{x}{6}= 13[/tex]

x = 78

2)

Given :

  • Angle RST = 5x degrees and angle UVW = 7x degrees
  • Angle RST and angle UVW are supplementary

If two angles are supplementary then the sum of their angles is 180 degrees.

5x + 7x = 180

Simplify the above expression in order to determine the value of 'x'.

x = 180/12

x = 15

For more information, refer to the link given below:

https://brainly.com/question/25834626

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