- linear pairs are supplementary, meaning they add up to 180°
5x + 9 + 3x + 11 = 180
8x + 20 = 180
8x = 160
x = 20
- now plug in.
angle 1: 5(20) + 9 = 100 + 9 = 109°
angle 2: 3(20) + 11 = 60 + 11 = 71°
Step-by-step explanation:
3. (c) complementary since the sum of the angles is 90°
4. 5x + 95 = 180 ---> 5x = 85 or x = 17 ans (d)
5. 68 + x + 90 = 180
x + 158 = 180
x = 22
ans. (b)
Answer:
Step-by-step explanation:
<em>1).</em>
(a). Yes, the graph is linear.
(b). Rate of change is a slope m, m = (60 - 80) / (10 - 0) = - 2
<em>2).</em> Graph is not proportional, because y-intercept is (0, 80) and not (0, 0)
12. since the straws are 4 inches long and she wants to cut them into 1/2 in you would get eight 1/2 pieces on that one straw but since she has two straws she has sixteen 1/2 pieces so no she does not have enough to cut twenty 1/2 pieces
Answer:
domain: -2 < x < 4
range: -∞ < y < 9
Step-by-step explanation:
domain: because the domain is all of the x-values, just look for the furthest one to the left, which is -2, and then look for the one that is furthest to the right, it being 4.
range: because the quadratic function has the two arrows continuing downwards, toward the negative portion of the graph, it would be -∞. Then look for the maximum of the graph, which would be considered the most highest part of the graph, which is seen on the graph as 9.
