a) Parallel for both line segments have the same slope = -5/4
b) 55º
Step-by-step explanation:
a) To verify the parallelism of these line segments, It's necessary to find the slope of each one. Parallel lines share the same slope value:

b) If ∠DAB = 125°, what is the measure of ∠CBA? Justify your reasoning.
Those beams do not form a parallelogram because:
Using the formula of distance between those points

So this is a trapezoid. And two adjacent angles within a trapezoid are supplementary, so If ∠DAB = 125º then 180 - ∠CBA=55º
Answer:
58.33%
Step-by-step explanation:
is %
-------- = ---------
of 100
Just plug in the numbers based on what it tells you.
What % = goes in the % spot
of 60 = goes in the of spot
is 35 = goes in the is spot
35 x
--------- = ---------
60 100
Cross multiply:
60 * x = 60x 35 * 100 = 3500
60x = 3500
Divide by 60 to get x by itself.
3500 / 60 = 58.33
Put the percent sign after it:
58.33%
I hope this helps.
Answer:
76.54 ft
Step-by-step explanation:
Pythagorean theorem
37^2 + 67^2 = d^2
d = 76.54 ft
Answer:
L=10
Step-by-step explanation:
Haley is incorrect because the volume isn't 360
it's 60
. I know this because i multiplied the length, width, and height together to get 60.
Angle 2 is the same as the given angle of 70 degrees so we can solve for y:
4y-30 = 70
Add 30 to both sides:
4y = 100
Divide both sides by 4:
Y = 25
Angle 1 and angle two are supplementary angles and when added together need to equal 180:
We know angle 2 = 70, so angle 1 must equal 180-70 = 110
2x + 10 = 110
Subtract 10 from both sides:
2x = 100
Divide both sides by 2:
X = 50
The answer is:
X = 50, y = 25