Short leg = x-6m
Longer leg =x
Hypotenuse = x+6m
x² + (x-6)² =(x+6)²
x² + x²-12x+36 = x²+12x+36
2x²-12x+36= x² +12x+36
2x²-12x+36-36= x² +12x+36-36
2x² - 12x-12x = x²+12x-12x
2x² -24x-x² = x²-x²
x² -24x = 0
x(x-24)=0
x = 24
Short leg = 24-6m = 18
Longer leg =24
Hypotenuse = 24+6m=30
Check
a² + b² = c²
18² +24² =30²
324 +576 = 900
900=900
Answer:
faluse
Step-by-step explanation:
The slope is rise over run. The ski run drops 5, so it would be -5, and the horizontal change of 20 would be the run, so you'd get -5 over 20 then you divide both by 5 and you get your answer of -1 over 4.
Answer:
The measure of the larger is .
Step-by-step explanation:
Given:
The measure of an angle is degrees less than three times the measure of another angle.
The two angles are supplementary.
To find: The measure of the larger angle.
Solution:
Let the measure of the smaller angle be .
Then the measure of the larger angle be .
The two angles are supplementary, so their sum is .
So,
So, the measure of the smaller angle is .
And, the measure of the larger angle is .
Hence, the measure of the larger is .
Answer:
x > 1
Step-by-step explanation:
5 - 2x < 7
-5 - 5
-2x < 2
/-2 /-2
(dividing by negative switches the sign)
x >- 1