Answer:
The answer is a. 21.
Step-by-step explanation:
We solve this question by using Pythagoras theorem to relate the sides of a right angled triangle.
Here,
Hypotenuse of the given triangle(c)=75
Two sides of right angled triangle are:
a=72
b=?
Then,
for a given right angled triangle abc,
Using Pythagoras theorem,

Squaring on both sides,

or,
or, 
or,
or,
∴
So, the value of b is obtained to 21 by the use of Pythagoras theorem.
Your question is missing the figure, so the figure for your question is attached below:
Answer:
shade 2 strips out of 4 to get fraction strip equivalent to Mandy's fraction strip
Step-by-step explanation:
As Mandy shaded the 3 trips out of the total six strips. It shows the fraction of 
and
To shade the given fraction strip so that it represents a fraction that is equivalent to Mandy's fraction strip, we should shade 2 stripes out of 4 that is equivalent to
i.e. 
My Fraction Strip is equivalent to Mandy's Fraction Strip because both are equal to
The correct factorization is
2(x-2)²
Answer: C) 5
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x = independent variable, y = dependent variable
Assuming this is a linear function, each increase of x by 2 leads to y going up by 10. So 10/2 = 5 is the unit increase each time x bumps up by 1.
-------------------
An alternative is to use the slope formula to get
m = (y2 - y1)/(x2 - x1)
m = (25 - 15)/(4 - 2)
m = 10/2 <--- this expression shows up again
m = 5 <---- leading to the same answer as before
So we see that the slope formula is a more drawn out method to finding the answer.
Work seriously and you will be eable to answer