<h3>
Answers:</h3>
- a) HR = 24
- b) AT = 32
- c) MR = 29
- d) R is the midpoint of <u> MH </u> and <u> AT </u>
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Explanation:
a)
MR = 24 is given. Note the single tickmark on this segment. The other segment HR has the same tickmark, so it is the same length as MR.
HR = MR = 24
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b)
The double tickmarks tell us TR and RA are the same length. They combine to form segment AT. So this means segment AT is cut in half to get TR and RA.
TR = (1/2)*(AT)
2*TR = AT.... multiply both sides by 2
AT = 2*TR
AT = 2*16
AT = 32
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c)
MH is cut in half at point R for similar reasoning as part b)
Put another way, MH is twice as long as MR.
MH = 2*MR
58 = 2*MR
2*MR = 58
MR = 58/2
MR = 29
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d)
R is the midpoint of segment MH because R cuts MH in half. Point R bisects MH.
R is also the midpoint of AT for similar reasoning. It's all based on the tickmarks telling us which segments are congruent to one another.
You are to follow the clues. Since is is 2 digits and is prime, go through the prime numbers between 10 and 20. They are 11, 13, 17, and 19. Then you find the factors of 34 which are 1×34 2x17. That leaves only 1 possible answer: 17
First, you must find the width of GHJK. Since the area of it is 84m², divide 84 by 7.
84÷7=12
So the width of GHJK is 12m.
Next, find the scale of GHJK to LMNP. Since the height of both are already available, you can divide 21÷7 to get 3
This means that to get the width of LMNP you must multiply the width of GHJK by 3.
12×3=36.
Now, to get the area of LMNP, multiply 21 by 36.
21×36=756
So, the area of LMNP is 756m². (Don't forget the units!>
Answer:
The surface area is 78 unit square.
Step-by-step explanation:
Given : The surface area for a rectangular prism with a square base is 
.
To find : What is the surface area if s=3 and h=5?
Solution :
The surface area for a rectangular prism with a square base is
Substitute, s=3 and h=5
Therefore, The surface area is 78 unit square.
Answer: Franco played for 30 minutes longer than Lain.
Step-by-step explanation:
3 times 60= 180
180-150=30 minutes
