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..
Answer:
b
Step-by-step explanation:
im 50% sure this write dont blame me man
Answer:
18.75 ft
Step-by-step explanation:
The given scenario can be drawn as shown in the following attachment.
Given that,
and 
Therefore, 
ft
AB is the height of the house.
Answer:
100.34÷2.9=34.6
Step-by-step explanation:
You will need to move the decimal point to the right one place
Answer:
x=13°
Step-by-step explanation:
If BE is an angle bisector, then it divides the angle into two equal angles. This means that
∠ABE=∠EBC
Since ∠ABE=2x+20 and ∠EBC=4x-6, we have
2x+20=4x-6
2x-4x=-6-20
-2x=-26
2x=26
x=13°
