Answer:
The perimeter of the trapezoid is 
Step-by-step explanation:
we know that
The perimeter of the trapezoid is the sum of its four side lengths
so
In this problem

the formula to calculate the distance between two points is equal to
we have

step 1
Find the distance QR

substitute the values in the formula
step 2
Find the distance RS

substitute the values in the formula
step 3
Find the distance ST

substitute the values in the formula
step 4
Find the distance QT

substitute the values in the formula
step 5
Find the perimeter

Answer:
5985 can fit in the room!
Step-by-step explanation:
1) 150 * 100 = 15000
2) 6 * 6 = 36
3) 15000 - 36 = 14964
4) 14964 / 2.5 = 5985.6
5) But you can't fit almost half a person inside or create another whole person soo you round down to 5985
Answer:
The fraction of the students who failed to went partying = 
Step-by-step explanation:
Let total number of students = 100
No. of students partied are twice the no. of students who not partied.
⇒ No. of students partied = 2 × the no. of students who are not partied
No. of students partied before the exam = 20 % of total students
⇒ No. of students partied before the exam =
× 100
⇒ No. of students partied before the exam = 20
No. of students who not partied before the exam = 
Thus the fraction of the students who failed to went partying = 
Absolute value cannot be less than 0
Solve Absolute Value.<span><span>|<span>x−5</span>|</span>=<span>−1</span></span>No solutions.
<span>|<span><span>−6</span>−<span>2x</span></span>|</span>=8
<span>x=<span>−<span><span>7<span> or </span></span>x</span></span></span>=<span>1
</span>
<span>|<span><span>5x</span>+10</span>|</span>=10
<span>x=<span><span>0<span> or </span></span>x</span></span>=<span>−4</span>
<span>|<span><span>−<span>6x</span></span>+3</span>|</span>=<span>0
</span>
So your answer is D) |–6x + 3| = 0