What is the question you are asking?
Let complementary angle be x,
Then the other angle is 4x
x + 4x = 90 ( complementary angles)
5x = 90
x = 90/5
x = 18,
The measure of the smaller angle = 18
And the measure of the larger angle = 4x
= 4 * 18
= 72
The supplementary of the larger angle is,
Let y be the other supplementary angle.
72 + y = 180 ( Supplementary angles)
y = 180 - 72
y = 108.
Hence, the other supplementary angle is 108 degrees.
Hope you understood. Plzzz let me know if you have any doubts.
Answer:
(-2, 6)
Step-by-step explanation:
Since you want a 1 to 7 ratio, you want to divide the line into 2 parts, where one part has a length of 1 and the other has a length of 7. So the total length of the line is 8.
Start by looking at the difference in the X and Y coordinates.
X = | -4 - 12 | = | -16 | = 16
Y = | 7 - -1 | = | 8 | = 8
You could calculate the length of the line using pythagorian's theorem, but that's not needed. Simply use similar triangles. We have a right triangle with legs of length 16 and length 8. We want a similar triangle that is 1/8th as large (to get the desired 1 to 7 ratio). So divide both legs by 8, getting lengths of 16/8 = 2, and 8/8 = 1.
Now add those calculated offsets to point A.
A has an X coordinate of -4 and B has an X coordinate of 12 and the X coordinate for C must be between those limits. So calculate -4 + 2 = -2 to get the X coordinate for C.
The Y coordinate of A is 7 and the Y coordinate of B is -1. And since the Y coordinate must be between then, you have 7 - 1 = 6.
So the coordinates for C is (-2, 6)
The first 3 choices are not outliers, so the answer is D.
