A- Original length = 18
b- Original length = 12
c- Copy length = 15 ; Original Length/Copy Length = 2/3
Answer:
90, 90, 90, 135, 135
Step-by-step explanation:
The sum of the measures of all angles is 540 deg.
The measures of the angles are: x - 45, x - 45, x, x, x - 45.
Add the expressions of the measures of the angles and set equal to the sum of the measures, 540 deg. Then solve for x. Then use the value of x to find each angle measure.
x + x + x - 45 + x - 45 + x - 45 = 540
5x - 135 = 540
5x = 675
x = 135
x - 45 = 135 - 45 = 90
Answer: 90, 90, 90, 135, 135
Let s represent the measure of the second angle.
The measure of the first angle is 15° less than the second, so we can represent the first angle by (s-15).
The measure of the third angle is 45° more than half the second, so we can represent the third angle by (45+(s/2)).
The sum of these angles is 180°, so we can represent the sum as
... (s-15) + s + (45+s/2) = 180
Collecting terms, we have
... 2.5s +30 = 180
... 2.5s = 150 . . . . . . subtract 30
... s = 150/2.5 = 60 . . . . divide by the coefficient of s
The first angle is 60-15 = 45.
The second angle is 60.
The third angle is 45+60/2 = 75.
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<u>Check</u>
The sum of the three angles is 45 +60 +75 = 180.
The constant of proportionality is the slope of the line.
The slope is the change in y over the change in x
Using two pints on the line:
Slope = (3-0) / (1-0) = 3/1 = 3
The answer is 3
