Answer:
-6
Step-by-step explanation:
1) distribute: 7x+28+6x-18=8x-24-2x+8
2)combine like-terms: 13x+10=6x-32
3)move the variable to one side: 7x+10=-32
4)subtract 10 from both sides: 7x=-42
5) divide each side by 7: x=-6
Answer:
Your answer is x=7
Step-by-step explanation:
add 6 to both sides
cross out -6(+6) and add 22+6=28
add 3x on both sides
x+3x=4x and cross out (+3x)-3x
divide 4 on both sides
cross out 4 leave x and divide 28 and 4 =7
Answer:
x = 13 feet
Step-by-step explanation:
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