These two angles are a linear pair so they will add up to 180°
equation:
x+42=180
x=138°
Answer:
y = 9x - 40
Step-by-step explanation:
Using the point-slope equation of a straight line is the fastest approach here, since we already have the slope and a point:
y - k = m(x - h) becomes y - 5 = -9(x + 5)
Solving for y, this becomes y = 9x + 5 - 45, or y = 9x - 40
4a + 9b + 0c = 8 ⇒ 4a + 9b + 0c = 8
8a + 0b + 6c = -1 ⇒<u> 8a + 0b + 6c = -1</u>
0a + 6b + 6c = -1 12a + 9b + 6c = 7
12a + 9b + 6c = 7 ⇒ 24a + 18b + 12c = 14
4a + 9b + 0c = 8 8a + 6b + 12c = 0 ⇒ <u>24a + 18b + 36c = 0</u>
8a + 0b + 6c = -1 ⇒ 8a + 0b + 6c = -1 <u>-24c</u> = <u>14</u>
0a + 6b + 6c = -1 ⇒ <u>0a + 6b + 6c = -1</u> -24 -24
8a + 6b + 12c = 0 c = ⁷/₁₂
6b + 6(⁷/₁₂) = -1
6b + 3¹/₂ = -1
<u> - 3¹/₂ - 3¹/₂</u><u>
</u> <u>6b</u> = <u>-4¹/₂
</u> 6 6<u>
</u> b = ³/₄
4a + 9(³/₄) = 8
4a + 6³/₄ = 8
<u> - 6³/₄ - 6³/₄
</u> <u>4a</u> = <u>1¹/₄</u>
4 4
a = ⁵/₁₆
(a, b, c) = (⁵/₁₆, ³/₄, ⁷/₁₂)
Answer: 5 pounds
Step-by-step explanation:
90 - 53.8 = 36.2
She spent $36.20 on pounds of coffee.
36.2/7.24 = 5
Donna bought 5 pounds of coffee.
