Answer:
∠YDC measures 140°.
Step-by-step explanation:
We can consider using the Exterior Angle Theorem. According to the theorem, the exterior angle of a triangle is equal to the two opposite interior angles.
In other words:
Substitute:
Solve for <em>x</em>. Combine like terms:
Simplify:
And divide. Hence, the value of <em>x</em> is:
∠YDC is given by:
Since we now know the value of <em>x</em>, substitute and evaluate:
In conclusion, ∠YDC measures 140°.
The answer is a. Pick two intervals you want to use to find slope. Slope =5. Then plug whatever interval into the point slope formula. You should obtain
y=5x-3
Story:
There is a tank that can fill 4 liters of water. The 2/3 of the tank has been filled with water. How much liters have the tank filled with water?
Solution of story:
<u>We know that:</u>
- Tank = 4 liters
- 2/3 x 4 = Water filled in tank
Multiply both the terms to get the answer.
<u>Solution:</u>
- 2/3 x 4 liters
- => 8/3 liters = 2 2/3 liters
Hence, 2 2/3 liters has been filled with water.
Hoped this helped.
