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! :)
Answer:
12 + 12 = 24
Step-by-step explanation:
P = 2L + 2W
P = 2*16 + 2W
P = 56
56 = 32 + 2W Subtract 32 from both sides
56 - 32 = 2W
24 = 2W Divide by 2
24/2 = 2W/2
12 = W
The answer you want is 2 * 12 = 24
Answer:
x²-7x=0
Step-by-step explanation:
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Alright, lets get started.
Suppose total number of dancers in school = x
We have given in question, 42 % of total dancers are ballet dancers.
So, we could find number of ballet dancers by finding 42 % of total dancers.
Number of ballet dancers = x * 42 %
Number of ballet dancers = x * 42/100 = 0.42 x
As per given in question, there are 63 ballet dancers in school.
Which means 0.42 x = 63
Dividing 0.42 from both sides
0.42 x / 0.42 = 63 / 0.42
x = 150
Hence number of total dancers in school = 150 : Answer
Hope it will help :)