Answer:
Measure of ∠5 is 142°
Step-by-step explanation:
We are given that, Lines L and M are parallel.
As, the third line is intersecting both line L and M.
<em>We know that, 'The opposite angles formed by the intersecting lines are equal'.</em>
Since, the sum of the four angles formed by the third line and M is 360°.
So, we get,
∠1 + ∠6 + ∠7 + 38 = 360°
i.e. 2∠1 + 2×38° = 360°
i.e. 2∠1 = 360° - 76°
i.e. 2∠1 = 284°
i.e. ∠1 = 142°
Thus, ∠1 = ∠7 = 142°
Since, L and M are parallel.
So, ∠3 = ∠5 = 142°
Hence, we get that measure of ∠5 is 142°.
Answer is 8
Work Shown:
f(x) = sqrt(5*x + 4)
f(12) = sqrt(5*12 + 4) ... replace every x with 12
f(12) = sqrt(60 + 4)
f(12) = sqrt( 64 )
f(12) = 8
Answer:
128
Step-by-step explanation:
Supplementary means they sum to 180, and it's also a straight line. 180-49 = 131. 131-3 = 128, or x.
3x - y = 9
y = -2x + 11
3x - (-2x + 11) = 9
3x + 2x - 11 = 9
3x + 2x = 9 + 11
5x = 20
x = 20/5
x = 4
y = -2x + 11
y = -2(4) + 11
y = -8 + 11
y = 3
solution (where the lines intersect) is (4,3)
Answer:
Mean wage is the average wage for a worker in a specified position or occupation, which may be skewed up or down if there are a few extreme examples in the sample.
Step-by-step explanation:
