Two remote interior angles of a triangle measure 37° and 62°. What is the measure of the exterior angle associated with the remo
1 answer:
The measure of the exterior angle is equal to the sum of the remote interior angles. Overall the sum of all the angles of a triangle is 180 degrees.
As given in the question,
Two remote interior angles measure =
Hence, the exterior angle will be 99°
Option B is correct- The exterior angle measures 99˚.
You might be interested in
Answer: < -4/5, 3/5>
This is equivalent to writing < -0.8, 0.6 >
======================================================
Explanation:
Draw an xy grid and plot the point (-4,3) on it. Draw a segment from the origin to this point. Then draw a vertical line until reaching the x axis. See the diagram below.
We have a right triangle with legs of 4 and 3. The hypotenuse is through use of the pythagorean theorem.
We have a 3-4-5 right triangle.
Therefore, the vector is 5 units long. This is the magnitude of the vector.
Divide each component by the magnitude so that the resulting vector is a unit vector pointing in this same direction.
Therefore, we go from < -4, 3 > to < -4/5, 3/5 >
This is equivalent to < -0.8, 0.6 > since -4/5 = -0.8 and 3/5 = 0.6
Side note: Unit vectors are useful in computer graphics.
Step-by-step explanation:
p(x) = 2x^2+8x-12
d(x) = x + 1
r(x) = -13
q(x) = 2x + 6
q(x)+r(x)d(x)
= 2x + 6 + (-13) * x + 1
= 2x + 6 -13 * x + 1
= 2x + 6 - 13x + 1
= (- 11x + 7)