Those are vertical angles,so they are equal
150=5m
m=150/5
m=30
Answer:
5 units
Step-by-step explanation:
According to the given statement Δ XYZ is translated 4 units up and 3 units left to yield ΔX'Y'Z' which means that each point in ΔXYZ is moved 4 units up and moved 3 units left.
To find the distance of each corresponding point we will use the Pythagorean theorem which states that the square of the length of the Pythagorean of a right triangle is equal to the sum of the squares of the length of other legs
The square of the required distance = 4^2+3^2 = 16+9 =25
By taking root of 25 we get:
√25 = 5
Thus, we can conclude that the the distance between any two corresponding points on ΔXYZ and ΔX′Y′Z′ is 5 units.
..
Styline menswear ordered short-sleeve shirts for $23 each and long-sleeve shirts for $28.50
short-sleeve shirts for $23
long-sleeve shirts for $28.50
Total cost = $9,862.50
Let x be the number of short - sleeve
and y be the number of long - sleeve
Total shirts = 375
x + y = 375
23x + 28.50y = 9862.50
Now we solve for x
x + y = 375 ( subtract x on both sides)
So y = 375 - x
Now plug in 375 -x for y in second equation
23x + 28.50y = 9862.50
23x + 28.50(375 - x ) = 9862.50
23x + 10687.5 - 28.50x = 9862.50
subtract 10687.5 from both sides
23x - 28.50x = -825
-5.5x = -825 (divide -5.5 on both sides)
x = 150
So number of short-sleeve = 150
Answer:
C) 22
Step-by-step explanation:
I have set up an equation based off of what Abraham said.

The number should be 22.
Hope this helps.
Hope this helps.
Answer:
x= 5 1/30
Step-by-step explanation:
hope this is fine :)