Answer:
-34
Step-by-step explanation:
Combine like terms
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To find the measure of ∠D, we need to find the measure of ∠C.
Find the measure of ∠C using the sum of interior angles in a triangle. The sum of interior angles in a triangle is 180°
∠C + ∠A + ∠B = 180°
∠C + 40° + 81° = 180°
∠C = 180° - 40° - 81°
∠C = 59°
The measure of ∠C is 59°
Find the measure of ∠D by supplementary angles property
∠C, ∠D , ∠E are supplementary angles. If the three angles add together, the result is 180°
∠D + ∠C + ∠E = 180°
∠D + 59° + 25° = 180°
∠D = 180° - 59° - 25°
∠D = 96°
The measure of ∠D is 96°
Answer:
y = -1/2x-8
Step-by-step explanation:
If the lines are parallel, they have the same slope.
y = -1/2x +3 is in the form y=mx+b where m is the slope and b is the y intercept
-1/2 is the slope so the new line will have a slope of -1/2
(0,-8) is the y intercept since x=0
We can write the equation since we know the slope (-1/2) and the y intercept (-8)
y = -1/2x-8
There is 6.74 quarts left in the cooler.
Since 5 of the glasses have a capacity of 0.36 qt, this is a total of 5(0.36) = 1.8 qt. The 8 glasses that have a capacity of 0.52 qt have a total of 8(0.52) = 4.16 qt. This gives a total of 4.16+1.8 = 5.96 qt.
To find the remaining, subtract from 12.7:
12.7-5.96 = 6.74 qt.
Answer:
Step-by-step explanation: