answer: 32, 72
question 6
angle PQR and 148 are supplementary angles, so they add up to 180
PQR + 148 = 180
PQR = 180 - 148 = 32
question 7
in triangle RTS, all three angles must add up to 180
angle R = angle PQR = 32
angle S = 180 - 104 = 76 (because of supplementary angles)
angle T = angle RTS (we need to find this)
32 + 76 + angle RTS = 180
angle RTS = 72
Answer:
$14 per lb
Step-by-step explanation:
Given:
- Brand Y = $18 / lb
- Special Blend = $17 / lb
Let x be the price per lb of brand X coffee
3 lbs of brand X coffee + 9 lb of brand Y coffee = 12 lbs of special blend
⇒ 3x + 9(18) = 12(17)
⇒ 3x + 162 = 204
⇒ 3x = 42
⇒ x = 14
Therefore, brand X costs $14 per lb
d is true
Step-by-step explanation:
The rectangle with maximum area will actually be a square.
Each side will be of length 7/4 = 1 3/4.
Blank 1: If y is -5 when x is 2, that means the equation here is y = -2.5x. So, if x is 8, that makes the equation y = -2.5(8), which gives you -20.
Blank 2: If y is 3 when x is 1, the equation will be y = 3x. If x is 2, that will give you y = 3(2), which is 6.
Blank 3: If y is -7 when x is -21, the equation will be x = 3y. If y is 9, that will give you x = 3(9), which is 27.
Blank 4: If y is 5 when x is 4, the equation will be y = 1.25x. If y is 18, that makes the equation 18 = 1.25x, which is 14.4.
I hope this all helped!
