beginning algebra problem

valnadam

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Feb 7, 2011
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I don't know what type of problem this is. Can anyone help me solve? Thanks
 
Properties of Supplementary Angles

8x - 10 = 9x - 65

Properties of Vertical Angles

8x - 10 = z

Beginning Algebra? It is now, but is wasn't when we started.
 
valnadam said:
I don't know what type of problem this is. Can anyone help me solve? Thanks
Hi valnadam,

When two lines intersect, opposite (vertical angles) are congruent (have the same measure.

That would be \(\displaystyle 8x-10 \text{ and }z\)

When two lines intersect, adjacent angles are supplementary (add up to 180 degrees).

That woud be \(\displaystyle 8x-10 \text{ and }9x-65\)

That's a start.
 
valnadam said:
Is the answer

x=55
z=8x-10

Thanks in advance
No, those answers are not correct. How did you come up with that based on what tkhunny and I stated?

\(\displaystyle (8x-10)+(9x-65)=180\)

Solve for \(\displaystyle x\).

Use that answer to substitute into \(\displaystyle 8x-10=z\) to solve for \(\displaystyle z\)
 
Ok I come up with

(8x-10)+(9x-65)=180
17x-75=180
17x=255
17x/17=255/17
x=15

8(15)-10=110

z=110

is that better?
 
Correct...but there is no need for you to check with us:
simply substitute your answers back in original equations...
 
Kind of a pet peeve of mine. Since we created the equations, technically, there are no original equations. Checking should be don ein the most fundamental environment. In this case, why not see that all four angles add up to 360º?

Please learn to check and verify and gain confidence.
 
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