Answer:
x = 28.32 units.
Step-by-step explanation:
Given:
Longer leg = 21
Shorter leg = 19
Hypotenuse = x
To Find:
Hypotenuse = x = ?
Solution:
Pythagoras Theorem States that

Substituting of the given value above equation we get

The equality used is Subtraction property of equality
Option A is correct
Step-by-step explanation:
We need to identify which option best explains or justifies Step 1.
Step 1 is: 
The given equation is: 
To get the equation for step 1 we need to subtract c on both sides of equation i.e using subtraction property of equality


So, The equality used is Subtraction property of equality
Option A is correct.
Keywords: Solving Quadratic Equations
Learn more about Solving Quadratic Equations at:
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Answer:
11%
Step-by-step explanation:
We need to fill the missing cells of the table first and are interested in first row for under age 15
1. 152- 65= 87 for the top left cell
2. 165- (87+60)= 18 for car column on same row
now we have number 18 and the total of the first row is 165:
So the first choice- 11% is the answer
Answer: V = (12in - 2*x)*(8 in - 2*x)*x
Step-by-step explanation:
So we have a rectangular cardboard sheet, and we cut four squares of side length x in each corner so we can make a box.
Remember that for a box of length L, width W and height H, the volume is:
V = L*W*H
In this case, the length initially is 12 inches, but we remove (from each end) x inches of the length, then the length of the box will be:
L = 12 in - 2*x
For the width we have a similar case:
W = 8in - 2*x
And te height of the box will be equal to x, then:
H = x
This means that the volume is:
V = (12in - 2*x)*(8 in - 2*x)*x
Here we can see the connection between the cutout and the volume of the box