Here you go, The answer is 8.75
"A" is the correct answer
Answer:
1st number: 22
2nd number: 16
3rd number: 64
Step-by-step explanation:
x + y + z = 102
x = 6 + y
z = 4y
plug that in!
(6 + y) + y + (4y) = 102
get rid of the parenthesis (I added them so you could see what I was replacing) and add like terms.
6 + 6y = 102
move 6 to the other side.
6y = 96
y = 16
now that you know one number, you can solve the equations for the rest!
x = 6 + (16)
z = 4(16)
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x = 22
y = 16
z = 64
Answer:
Step-by-step explanation:
Problem 1
<h3>Answer: B. M<3 would need to double.</h3>
Explanation: This is because angles 3 and 6 are congruent corresponding angles. Corresponding angles are congruent whenever we have parallel lines like this. If they weren't congruent, then the lines wouldn't be parallel. We would need to double angle 3 to keep up with angle 6.
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Problem 2
<h3>Answer: D. none of these sides are parallel</h3>
Explanation: We have angles A and C that are same side interior angles, but they add to A+C = 72+72 = 144, which is not 180. The same side interior angles must add to 180 degrees for parallel lines to form. This shows AB is not parallel to CD.
A similar situation happens with angles B and D, since B+D = 108+108 = 216. This also shows AB is not parallel to CD. We can rule out choices A and C.
Choice B is false because AD is a diagonal along with BC. The diagonals of any quadrilateral are never parallel as they intersect inside the quadrilateral. Parallel lines never intersect.
The only thing left is choice D. We would say that AC || BD, since A+B = 72+108 = 180 and C+D = 72+108 = 180, but this isn't listed as an answer choice.