Answer:
a = 144
b = 67
Step-by-step explanation:
Where a transversal meets parallel lines, consecutive interior angles are supplementary.
<h3>Angles</h3>
a° +36° = 180° . . . . . . consecutive angles are supplementary
a = 144 . . . . . . . . . . divide by ° and subtract 36
b° +113° = 180° . . . . . . consecutive angles are supplementary
b = 67 . . . . . . . . . . divide by ° and subtract 113
<span>The data of set X has a greater spread than that of set Y. This only means that the Standard Deviation of data set X is greater than the standard deviation of data set Y. The standard deviation is larger when data is more spread out.</span>
Z = 25. y = 101. I got this because of the parallel lines theorem. In essence, what this theorem means is that the alternate exterior angles are congruent. If you see, this means that 6z - 71 = 79. After solving this equation, you get z = 25. y = 101 because of supplementary angles. Z is 25, but the value of that angle is not 25 because first, you have to solve the equation, in which you get 79. 180 - 79 = 101.
Z = 25.
Y = 101.
45x + 50y = 2500
45(0) + 50y = 2500
50y = 2500
y = 50
If you let X = the distance in miles from Dales's house, and understand rate = distance/ time, the rate going to mountains = x/7, and back from mountains is x/5. If dale was 18mph fast going home, the equation would be...
(coming home rate) = (going to mountain rate) + 18 which is
x/5 = x/7 + 18. Then solve for X.
Use the least common denominator = 35 so multiply everything by 35 and you get...
7x = 5x+630
simplify...
2x = 630, then
x = 315 .
Dale live 315 miles away from the mountains.
