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Papessa [141]
3 years ago
7

M∆abc=17x+8,m∆abk=42°, and m∆kbc=12x-4. Find m∆abc

Mathematics
1 answer:
wolverine [178]3 years ago
8 0
So, we have as a given that:
measure angle ABK + measure angle KBC = measure angle ABC

Substitute with the givens and solve for x first.
42 + 12x - 4 = 17x + 8
42 - 4 - 8 = 17x - 12x
30 = 5x
x = 30/5 = 6

Therefore:
measure angle ABC = 17x + 8 = 17(6) + 8 = 110 degrees
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<h3>What is a slope?</h3>

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run.

Given that the line that passes through the points (-5,6) and (-3,2).

The slope of the line is calculated by the formula,

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