Answer:
The measures of the angles are 150° and 30°.
Step-by-step explanation:
Let x and y represent the measures of the angles, with x representing the larger angle.
x + y = 180 . . . . . . the two angles are supplementary
x = 90 + 2y . . . . . one is 90° more than twice the other
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Substituting the expression given by the second equation into the first, we have ...
(90 +2y) +y = 180
3y = 90 . . . . . . . . . . collect terms, subtract 90
y = 30 . . . . . . . . . . . divide by the coefficient of y
x = 180 -y = 150
The measures of the angles are 150° and 30°.
Answer:
Step-by-step explanation:
negative 5 is less then -3 is the statement. so saying that -3 is less than five, is false.
remember your number line.
-5_-4_-3_-2_-1_0_1_2_3_4_5_6
five sure is to the left of three, and saying that three is to the right of five is the exact same thing.
Answer:
C. 10
Step-by-step explanation:
We are given a graph representing the height of the elevator with respect to time.
Since, we know that,
X-axis represents the 'time' in seconds and y-axis represents the 'height of the elevator' in feet.
As, the coordinate points on the graph are given by,
(1,10), (2,20), (3,30) and (4,40).
So, the rate of change can be found out by solving, 
.
Hence, the rate of change of the relationship is 10.
Answer:
Look just at finding the linear model. Two points. Use price per gallon for x and gallons per hour sold for y. Your two points (x,y) are (2.15,1600) and (2.55,800).
Slope m=%281600-800%29%2F%280.15-0.55%29
m=800%2F0.40
m=2000
Using point-slope form for a line, and the lower-y point,
y-800=2000%28x-2.55%29
highlight%28y=2000%28x-2.55%29%2B800%29
