Answers:
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Explanation:
BC = 78 is parallel to the midsegment DE.
This parallel midsegment is half as long as BC, so DE = BC/2 = 78/2 = 39
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DF = 34 doubles to AB = 2*DF = 2*34 = 68, since the midsegment is half as the parallel side, so we just think in reverse of that process.
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BE = 34 for two reasons
- Quadrilateral EBFD is a parallelogram with opposite sides BE and DF that are congruent.
- E is the midpoint of AB, so BE is half as long as AB
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We don't use the info that AC = 48.
Anzelm wants to burn 540 calories while jogging. Jogging burns about 12 calories per minute.
he usually plans to stop and rest for about 5 minutes.
m represents the total minutes.
12 calories per minute.
for m minutes the calories burn is 12m
He stop and rest for about 5 minutes. so we need to subtract 5 from total minutes
So expression becomes 12(m-5)
He wants to burn 540 calories. So we set the calories = 540
The equation becomes ,
12(m-5) = 540
Now we solve for m , total number of minutes
12(m-5) = 540(divide by 12 on both sides)
m - 5 = 45
m = 50 ( add 5 on both sides)
Anzelm should plan to be out jogging for 50 minutes
9.63 as a fraction is 9 63/100
What we know:
Area=l x w
vertices at (-4,0),(-3,1), (0,-2),(-1,-3)
pythagorean formula=a²+b²=h²
What we need to find:
Area
Finding length:
Length of rectangle is from point (-4,0) to (-1,-3), found it by plotting the points on graph paper. Went down 3 units and right 3 units to go from one point to the other, these are the a and b in the pythagorean formula.
a²+b²=h²
(3)²=(3)²=h²
9+9=h²
18=h²
√18=√h²
√18=h
Finding width:
Width of rectangle is from point (-4,0) to (-3,1), found it by plotting the points on graph paper. Went up 1 unit and right 1 unit to go from one point to the other, these are the a and b in the pythagorean formula.
a²+b²=h²
(1)²+(1)²=h²
1+1=h²
2=h²
√2=√h²
√2=h
Now we can find area,
Area= l x w
= √18 x√2
=√36=6
Area=6
Remember that when we square root a number we get two solutions, one negative and one positive but since length, width and area are positive we only use positive solutions.
