Answer:
65
Step-by-step explanation:
<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.
Answer:
Length = 42 feet
Width = 21 feet
Step-by-step explanation:
Let the length and width be represented by L and W
L = 2W
Perimeter (P) = 126 feet
2(L + W) = 126
L + W = 126/2 = 63
2W + W = 63
3W = 63
W = 63/3 = 21 feet
L = 2W = 2 × 21 feet = 42 feet
So I’ll do question 3. So normally you see f(x)= something plus x (something like that) you see it as a function of x.
So that notation of f(-1) means the function of -1. Which means you need to sub in -1 for x.
f(x)=-5x+5
f(-1)=-5(-1)+5
Negative times a negative is a positive
f(-1)=5+5
f(-1)=10
Answer:
(d) y = -5/2x -3
Step-by-step explanation:
All of the offered choices are in slope-intercept form, so it makes sense to put the given equation in that form. Solving for y, we get ...
5x +2y = -4
2y = -5x -4 . . . . . subtract 5x
y = -5/2x -2 . . . . . divide by 2
The system of equations will have <em>no solution</em> if the equations are "inconsistent." That will be the case when the slope is the same, but the y-intercepts are different. That means you're looking for an answer of the form ...
y = -5/2x +c . . . . . . where c is not -2
This matches the last choice:
y = -5/2x -3