This is a classic example of a 45-45-90 triangle: it's a right triangle (one angle of 90) & two other sides of the same length, which means two angles of the same length (and 45 is the only number that will work). With a 45-45-90 triangle, the lengths of the legs are easy to determine:
45-45-90
1-1-sqrt2
Where the hypotenuse corresponds to sqrt2.
Now, your hypotenuse is 10.
To figure out what each leg is, divide 10/sqrt2 (because sqrt2/sqrt2 = 1, which is a leg length in the explanation above).
Problem: you can't divide by radicals. So, we'll have to rationalize the denominator:
(10•sqrt2)/(sqrt2•sqrt2)
This can be rewritten:
10sqrt2/sqrt(2•2)
=10sqrt2/sqrt4
=10sqrt2/2
=5sqrt2
Hope this helps!!
Answer:
Step-by-step explanation:
3x - 50 = 2x - 5 { a// b, so alternate interior angles are equal}
3x - 2x = -5 +50
x = 45
Answer:
B.40
Step-by-step explanation:
Add 4y to both sides of the equation:
x=4y-22
Now replace x in the equation:
(4y-22)-4y=-22
Distribute the negative sign:
-4y+22-4y=-22
Add common terms:
-8y+22=-22
Add 8y to both sides of the equation:
8y-22=22
Add 22 to both sides of the equation:
8y=44
Divide both sides by 8:
y=5.5
The answer is 88 Bc 8 x 11 is 88
