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:
A. 8/10
Step-by-step explanation:
(0.8 × 10) / (1 × 10) = 8/10 (since, multiplying 10 shifts the decimal point towards the right by one place)
Further, we can reduce fractions 8/10 by dividing the numerator and denominator by 2.
(8 ÷ 2) / (10 ÷ 2) = 4/5
Thus, 0.8 as a fraction is 8/10 or 4/5
Answer:
Jacoby is correct.
Step-by-step explanation:
Shop A= $6 ÷ 2 = $3/pound
Shop B= $15 ÷ 5 = $3/pound
<span>(a) What is the capacity of the container?
Volume = length * width * height
V = 4ft * 2ft * 3ft
V = 24 ft</span>³
(b) How much material was used to make the container?Surface area = sum of 6 faces of the prism4 ft x 3 ft = 12 ft² → 12 ft² x 2 = 24 ft²4 ft x 2 ft = 8 ft² → 8 ft² x 2 = 16 ft²2 ft x 3 ft = 6 ft² → 6 ft² x 2 = 12 ft²
Surface area = 24 ft² + 16 ft² + 12 ft² = 52 ft²
