Answer:
6.68, 13.37, 14.95
Step-by-step explanation:
One of the legs is twice as long as the other.
b = 2a
The perimeter is 35.
35 = a + b + c
The triangle is a right triangle.
c² = a² + b²
Three equations, three variables. Start by plugging the first equation into the second and solving for c.
35 = a + 2a + c
c = 35 − 3a
Now plug this and the first equation into the Pythagorean theorem:
(35 − 3a)² = a² + (2a)²
1225 − 210a + 9a² = a² + 4a²
1225 − 210a + 4a² = 0
Solve with quadratic formula:
a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)
a = (210 ± √24500) / 8
a ≈ 6.68 or 45.82
Since the perimeter is 35, a = 6.68. Therefore, the other sides are:
b ≈ 13.37
c ≈ 14.95
Answer: Matched-pairs t-test
Step-by-step explanation:
Answer:
300
Step-by-step explanation:
60 x 5 = 300
OPTION C is the correct answer.
Hope it helps you.
To be a parallogram the 2 angles shown need to equal 180 degrees
so we have: 34 + (4x-2) = 180
now we can solve for x
34 + 4x -2 = 180
simplify the left side by subtracting 2 from 34
32+4x =180
subtract 32 from each side:
4x = 148
divide both sides by 4 to get x
x = 148 / 4
x = 37
The answer is B
