Answer:
150°
Step-by-step explanation:
Consider OACB,
Here <CAO =<CBO= 90° ( As they are tangents)
<ACB= 30°
Now, <CAO +<CBO+<ACB+x= 360°
90°+90°+30°+x= 360°
x= 150°
Hope it helps
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:
- 197 popcorn bags
- 202 food trays
Step-by-step explanation:
Since the numbers are split evenly 5 ways, each stand gets 1/5 of the total:
(985 bags)/5 = 197 bags
(1010 trays)/5 = 202 trays
Each concession stand receives 197 popcorn bags and 202 food trays.
Answer:
The slope is 5/3
Step-by-step explanation:
(12,0)
(0,-20)
Changes in y is -20-0=-20
Changes in x is 0-12=-12
Rise(y) over run(x) = -20/-12
-5/-3
5/3
Answer:
see explanation
Step-by-step explanation:
Given f(x) then f(x - 2) represents a horizontal translation of f(x) shifted 2 units to the right, thus
The marked points on f(x) → f(x - 2) are
(0, 0 ) → (2, 0 )
(2, 4 ) → (4, 4 )
(3, 9 ) → (5, 9 )