Answer:
5). x = 15
7). JL = 78
Step-by-step explanation:
We can solve these problems with the help of midsegment theorem.
Midsegment theorem:
"Segment joining midpoints of two sides of a triangle is parallel and half the measure of third side of the triangle"
Question 5
8x - 23 = 
8x - 23 = 5x + 22
8x - 5x = 22 + 23
3x = 45
x = 15
Therefore, x = 15 is the answer.
Question 7
Since, MN is the midsegment,
MN = 
5x - 16 = 
5x - 16 = 2x + 17
5x - 2x = 17 + 16
3x = 33
x = 11
Therefore, Length of JL = 4(11) + 34
= 44 + 34
= 78 units
Answer:
The number of children attended the fair is 1520.
Step-by-step explanation:
We are given the following in the question:
Entry fee foe children = $1.50
Entry fee foe adult = $4.00
Total number of people in fair = 2200
Total money collected = $5000
Let x be the number of children and y be the number of adults in the fair.
Then, we can write the following equations:

Solving the two equations, we have:

Thus, there were 1520 children and 680 adults in the fair.
Answer:
144
Step-by-step explanation:
12x12=144
6u + 3u = 18
9u = 18
u = 18/9
u = 2
Answer:
$8 an hour
Step-by-step explanation:
56/7= 8