Given:
m∠YXV = 3x + 48
m∠WUX = x + 62
Using the corresponding angle theorem, since X is the midpoint of UV and Y is the midpoint VW, m∠YXV is congruent to m∠WUX.
Thus, we have:
m∠YXV = m∠WUX
3x + 48 = x + 62
Solve for x.
Subtract x from both sides:
3x - x + 48 = x - x + 62
2x + 48 = 62
Subtract 48 from both sides:
2x + 48 - 48 = 62 - 48
2x = 14
Divide both sides by 2:

To find m∠WUX, where x = 7, we have:
m∠WUX = x + 62
= 7 + 62
= 69º
ANSWER:
m∠WUX = 69º
List the multiples of both 12 and 9:
12, 24, 36, 48, 60
9, 18, 27, 36, 45
The lowest common multiple is 36.
This will make the fixtures and bulbs equal.
This means they bought 3 packages of light figures 3 x 12 = 36)
And bought 4 packages of bulbs ( 4 x 9 = 36)
Answer:
x = 5
Step-by-step explanation:
The figure shows that angles EAF and FAL are congruent, so we can equate their measures and solve for x.
4x + 10 = 3x + 15
Subtract 3x from both sides. Subtract 10 from both sides.
x = 5