Answer:
Step-by-step explanation:
The altitude falls in the middle of the line.
So, the point at which it falls in the bottom line is the midpoint, so the length of the blue triangle would be 6/2 = 3
So, the blue triangle has length of 3 and height of H and hypotenuse of 10.
Now, we will use Pythagorean Theorem to solve for H. The theorem is:
Leg^2 + Another Leg^2 = Hypotenuse^2
We know one leg of the triangle is 3 and another leg is H and hypotenuse is 10, so we substitute and solve:
This is the exact answer for H
A
substitute the given value for g into the expression and evaluate
- 5g - 6 = (- 5 × - 2 ) - 6 = 10 - 6 = 4 → A
The two angles shown are vertical angles. They form when you cross two lines. They are opposite one another. Note: They don't have to be vertically up and down in relation to each other. It's possible to have them horizontally side by side like this.
So because they are vertical angles, they are congruent. This means they are equal in measure
x+90 = 4x
x+90-x = 4x-x
90 = 3x
3x = 90
3x/3 = 90/3
x = 30
Therefore the answer is choice C) The value of x is x = 30
We can check it by plugging this into the original equation above
x+90 = 4x
30+90 = 4*30
120 = 120
our answer checks out
