Question 1:
Here's an interesting property of trapezoids:
Since this is a trapezoid, we know the following:
a+36 = 180
b+113 = 180
We only want to solve for a
a + 36 = 180
Subtract both sides by 36
a = 144
Your answer is the second choice.
Question 2:
Since LM is the midsegment, the length of LM is the average of the length of AB and DC.
(AB + DC) / 2 = LM
(46 + 125) / 2
= 171 / 2
= 85.5
The last choice is your answer.
Have an awesome day! :)
The answer is y = x-4.
<u>Step-by-step explanation</u>:
- The given expression is x-y=4
- Keep y alone on one side and move remaining terms to the other side.
⇒ -y = 4-x
- To have y alone, Multiply the above expression with -ve sign on both sides.
⇒ y = x-4
Answer:
6000 a month
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
the bill is $25.88
add to that the 5% (0.05) and the 15% (0.15) by multiplying the original amount by 1.20.
I constructed the figure with the information that you provide, please check the picture.
Since there is a right triangle inside the parallelogram, the parallelogram is a rectangle with

and

; remember that the area of a rectangle is (length)(width), so we can substitute our values to find its area:


On the other hand, the triangle attached to the top of the parallelogram has

, and

; since the area of a triangle is

, we can substitute our values to get:


Now the only thing lefts is add the area of the parallelogram and the triangle to get our total area:

We can conclude that the area of the figure is

.