Answer:
56
Step-by-step explanation:
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Answer:
<BAC = 78
<ABC = 68
Step-by-step explanation:
The remote angles theorem states that when one extends a side of a triangle, the angle formed between the extension and one of the sides of the triangle is equal to the sum of the two non-adjacent angles inside the triangle. One can apply this theorem here and state the following,
<BAC + <ABC = <ACD
Substitute,
(5y + 3) + (4y + 8) = (146)
Simplify,
9y + 11 = 146
Inverse operations,
9y + 11 = 146
-11 -11
9y = 135
/9 /9
y = 15
Now substitute this value back into the expressions to find the numerical measurement of (<BAC) and (<ABC),
<BAC = 5y + 3
5(15) + 3
78
<ABC = 4y + 8
4(15) + 8
68
Answer:
$1.5 per gallon
Step-by-step explanation:
Unit rate is rate per gallon
$15/10gallons = $1.5 per gallon
Answer:
y = -x^2 − 2.5x + 350
Step-by-step explanation:
y = (10 + 0.5x)(35 − 2x)
y = 350 − 20x + 17.5x − x^2
y = 350 − 2.5x − x^2
The Slope is 5.
Use the slope formula m = y2-y1/x2-x1