Answer:
Part 1) m∠EOD=20°
Part 2) m∠AOD=80°
Step-by-step explanation:
Part 1) Find the measure of angle EOD
we know that °
m∠EOD=m∠EOX-m∠DOX
we have
Observing the figure
m∠EOX=140°
m∠DOX=120°
substitute
m∠EOD=140°-120°=20°
Part 2) Find the measure of angle AOD
we know that °
m∠AOD=m∠DOX-m∠AOX
we have
Observing the figure
m∠AOX=40°
m∠DOX=120°
substitute
m∠AOD=120°-40°=80°
Yes - they have to be similar. Since they are using the same line as the hypotenuse, the ratio of the other two sides are in the same ratio (ie, the slope of the line), the 3 inner angles will be the same. Thus, the triangles will be similar.
Step 1. Simplify
7x^2 - 8x - 4 - 2x^2 + 3x + 5 + 5x^2 - 10x - 8
Step 2. Collect like terms
(7x^2 - 2x^2 + 5x^2) + (-8x + 3x - 10x) + (-4 + 5 - 8)
Step 3. Simplify
10x^2 - 15x - 7
Answer: B
Step-by-step explanation:
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