9514 1404 393
Answer:
x = 22.5°
Step-by-step explanation:
Angle BED ≅ angle EBC = 6x, so angle BEA = 4x. The angles FEB and BEA form a linear pair, so we have ...
4x +4x = 180°
x = 22.5° . . . . . . divide by 8
_____
BED and EBC are "alternate interior angles" with respect to transversal BE crossing parallel lines DE and AC.
Answer:
The solution to the given expression is 1/2562890625
Step-by-step explanation:
(3⁴ × 5⁴)⁻²
Simplify the terms inside the parentheses. 3⁴ × 5⁴ is the same as 15⁴ because even though the base numbers are different, the exponents are the same which makes it similar.
(15⁴)⁻²
Now, for this step, we are going to add the exponents because when multiplying, the exponential numbers add together. So 4 × -2 = -8.
15⁻⁸
Since we can not have a negative exponent, we are going to change this into a fraction. We do this by putting this term in a fraction where 1 is the numerator and the term is the denominator.
1 / 15⁻⁸
Now, we simplify the term on the bottom.
1 / 2562890625
So, this is the solution to the problem.
Answer: 12.66
Step-by-step explanation:
Use pytagoras to find CB
AB= 6 cm
CA=12 cm
CB²=CA²-AB²
CB²=12²-6²
CB²=144-36
CB=√108
CB=6√3
Using formula for sinα=CB/CD
α=55°
sin55°=6√3/CD
CD=6√3/sin55°
CD= 6*1.73/0.82=10.38/0.82=12.66
