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Darina [25.2K]
3 years ago
13

Natalia and Riley hike 10 6/11 miles. In one day, Ricardo hiked to 2 3/4 times as far as Natalia and Riley hiked. how far did he

hike?
Mathematics
1 answer:
Maksim231197 [3]3 years ago
7 0

Answer:

Ricardo hiked 29 miles.

Step-by-step explanation:

10 6/11 x 2 3/4

convert

116/11 x 11/4 = 1276/44

1276/44 = 29

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If the perpendicular bisector of one side of a triangle goes through the opposite vertex, then is the triangle isosceles?
Ne4ueva [31]

Answer:

True

Step-by-step explanation:

The perpendicular bisector of the opposite side to the vertex bisects the angle at the vertex into two equal parts and also bisects the triangle into two equal parts.

Let A be the angle at the vertex, then assume that the angle is an isosceles triangle with base angles B.

We need to show that A = 180 - 2B for an isoceles triangle

The perpendicular bisector bisects A into two so the new angle in the vertex one half of the bisected triangle is A/2.

Since this half triangle is a right-angled triangle, the third angle in it is 90.

So, A/2 + B +  90 = 180 (Sum of angles in a triangle)

subtracting 90 from both sides, we have

A/2 + B + 90 - 90 = 180 - 90

A/2 + B = 90

subtracting B from both sides, we have

A/2 + B = 90

A/2 = 90 - B

multiplying through by 2, we have

A = 2(90 - B)

A = 180 - 2B

Since A = 180 - 2B, then our triangle is an isosceles triangle.

7 0
3 years ago
At Rite Aid you can get 24 rolls of Quilted Northern for $9.29. Find the unit rate
Lana71 [14]
39 cents

9.29/24=.387 which rounds up to .39
5 0
2 years ago
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5. Three times the width of a certain rectangle exceeds twice its length by two inches. Four times its length is twelve more
damaskus [11]

Answer: A

Step-by-step explanation:

L=Length W=Width

3W=2L+2

4L=2L+2W+12

2L=2W+12

Option A

Hope this helps!! :)

Please let me know if you have any question or need further explanation

4 0
3 years ago
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viva [34]
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answer
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Answer:

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Terry=113x

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Larry saved $1.42

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3 years ago
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