9.
By the Segment Addition Postulate, SAP, we have
XY + YZ = XZ
so
YZ = XZ - XY = 5 cm - 2 cm = 3 cm
10.
M is the midpoint of XZ=5 cm so
XM = 5 cm / 2 = 2.5 cm
11.
XY + YM = XM
YM = XM - XY = 2.5 cm - 2 cm = 0.5 cm
12.
The midpoint is just the average of the coordinate A(-3,2), B(5,-4)

Answer: M is (1,-1)
You'll have to plot it yourself.
13.
For distances we calculate hypotenuses of a right triangle using the distnace formula or the Pythagorean Theorem.

Answer: AB=10
M is the midpoint of AB so
Answer: AM=MB=5
14.
B is the midpoint of AC. We have A(-3,2), B(5,-4)
B = (A+C)/2
2B = A + C
C = 2B - A
C = ( 2(5) - -3, 2(-4) - 2 ) = (13, -10)
Check the midpoint of AC:
(A+C)/2 = ( (-3 + 13)/2, (2 + -10)/2 ) = (5, -4) = B, good
Answer: C is (13, -10)
Again I'll leave the plotting to you.
Answer:
D) 0
Step-by-step explanation:
Remainder is zero as 10 is fully divisible by 2.
<u>Proof</u>:
- 27x^3 + 9x^2 – 3x – 10 = (3x -2) (9x^
2 +9x+5)
<u>Correct choice is</u> D) 0
Answer:
$4.02
Step-by-step explanation:
since he bought the same meal for 3 days, that means he payed the same amount every day for 3 days. the total is $12.06, so if u divide the total by 3, you will get how much he payed for one meal.
Step-by-step explanation:
Since ∠E is right angle, its opposite side is DF and the legs are DE and EF.
<u>Pythagorean applied:</u>
<span>X= math problems
y= science problems
x +y =42
x= y+10
Substitute: (y+10) + y =42
Combine y: 2y +10=42
Solve for y: y= 16
There are 16 science questions and 26 math questions</span>