Answer:
Step-by-step explanation:
<u>Statements </u> <u> Reasons</u>
1) QS =42 Given
2) QR + RS = QS Segment Addition Postulate
3) (x + 3) + 2x = 42 Substitution Property
4) 3x + 3 = 42 Simplify
5) 3x = 39 Subtraction Property of Equality
6) x=13 Division Property of Equality
Explanation:
We have given QS=42. We have to prove that x=13
We will use Segment Addition Postulate which states that given 2 points Q and S, a third point R lies on the line segment QS if and only if the distances between the points satisfy the equation QR + RS = QS.
Then we will substitute the values in the defined postulate.
where QR= x+3
RS=2x
QS=42
QR+RS=QS
(x+3)+2x= 42
Now simplify the expression by opening the brackets.
x+3+2x=42
3x+3=42
Now subtract 3 from both sides.
3x+3-3=42-3
3x=39
divide both sides by 3.
3x/3 =39/3
x=13..
The answer is d. it isn’t an exact number
Answer:
Perpendicular to base
Step-by-step explanation:
The cut creates two rectangular prisms (each angle must be 90 degrees)
The cut is perpendicular to the base
Sandy is boring. She should hit the ball towards the hole and hope she doesn't miss.
Answer:
The measure of angle IJU is 20 degrees.
Step-by-step explanation:
In order to find that, we need to add the two angles together and set equal to 180 degrees. Then we can solve for x.
(3x - 7) + (17x + 7) = 180 ----> Combine like terms
20x = 180 -----> Divide by 20
x = 9
Now that we have this, we can stick the value into the equation and solve for IJU.
IJU = 3x - 7
IJU = 3(9) - 7
IJU = 27 - 7
IJU = 20
