Answer:
x = 4
Step-by-step explanation:
Vertical angles are equal.
m∠1 = m∠2
10x - 9 = 4x + 15
Add 9 to both sides
10x = 4x + 15 + 9
10x = 4x + 24
Subtract 4x from both sides
10x -4x = 24
6x = 24
Divide both sides by 6
x = 24/6
x = 4
D. 18 J because it’s the most reasonable answer
Answer: 
or 
or 133.7 (any three are correct)
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.
<h2><u>
Problem:</u>
Evaluate 5214 ÷ 39</h2>
<u>Step 1:</u> <em>5214 / 39 = 133 with a remainder of 27.</em>
133 with a remainder of 27
Because 39 is what we will be dividing it by, it will be our denominator.
<u>Step 2:</u> <em>Express as a mixed fraction.</em>
<u>Step 3:</u> <em>Simplify by dividing the denominator/numerator by 3.</em>
or or 133.7
~I hope I helped you! :)~
Answer: No 1; x = 44 and
No 2; YA = 8
Step-by-step explanation: In the first parallelogram ABCD, angle D measures x, while angle A measures 3x + 4. Both angles are on the same side of the parallelogram and that means angles A and C are equal while angles B and D are also equal. It also means angles A and D are supplementary (that is, angle A and angle D equals 180). That being the case,
Angle A + Angle D = 180
3x + 4 + x = 180
4x + 4 = 180
Subtract 4 from both sides of the equation
4x = 176
Divide both sides of the equation by 4
x = 44
In the second parallelogram XYZW, diagonal XZ bisects diagonal YW at point A. Where both diagonals bisect each other, is the midpoint for both lines XZ and YW respectively. Hence, line YA equals line WA which can be expressed as
YA = WA
2t = 3t - 4
By collecting like terms we now have
4 = 3t - 2t
4 = t
If t = 4, then 2t (line YA) equals;
YA = 2t
YA = 2(4)
YA = 8
Therefore, (No 1) x = 44,
(No 2) YA = 8
