Answer:
S = a² => 20 = a² => a = √20 ≈ 4.5 cm
Step-by-step explanation:
Answer:
m= 1/2.
Step-by-step explanation:
To solve this, we must make the bases equivalent. We can do this by finding the common base which is 5.
We know that 125= 5³ and 25=5², which will help us in this equation. We can rewrite the equation substituting this for the original numbers:
Distribute the exponents to get:

Now, we can simply ignore the '5' and solve for 'm':
6m= 2m+2
4m= 2
m= 1/2.
The equivalent expression of
is 
<h3>How to determine the equivalent expression?</h3>
The expression is given as:

Expand the numerator

Divide 125 and 30 by 5

Apply the law of indices

Evaluate the exponent

Hence, the equivalent expression of
is 
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Answer:
A=30
Step-by-step explanation:
We know through the Angle Sum Property of A Triangle that
all its angles add up to 180 degrees
Hence, A + (a+b) +B= 180
A+100+50=180
A+150=180
A=30