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kvv77 [185]
2 years ago
13

PROVE: BD is congruent to BE. Provide steps and reasons.

Mathematics
1 answer:
Igoryamba2 years ago
4 0

Answer:

It is congruent

Step-by-step explanation:

Because AB and BC are congruent, having DE bisect them

directly in the middle creates equal lines of BD and BE.

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The coordinates of the vertices of a polygon are (−5, 1) , (−1, 3) , (2, 3) , (2, −2) , and (−3, −1) .
ozzi

Using the distance formula d=\sqrt{(x_2-x_1) +(y_2-y_1) }   Then we assign the points letter for simplicity

A= (-5.1),B=(-1,3),C=(2,3),D=(2,-2),E=(-3,-1). The distance formula gives us the magnitude between two points hence,

AB=\sqrt{(-5-(-1))^2+ (-1-3)^2}=\sqrt{16+16}= 5.65

BC=\sqrt{(-1-2)^2+(3-3)^2}= \sqrt{9}=3

CD=\sqrt{(2-2)^2+((3-(-2))^2} =\sqrt{25}=5

DE=\sqrt{(2-(-3))^2+(-2-(-1))^2} =\sqrt{26+1} =5.099

AE=\sqrt{(-3-(-5))^2+(-1-1)^2}= \sqrt{4+4} =\sqrt{8}=2.82

Perimeter= AB+BC+CD+DE+AE\\Perimeter=5.65+3+5+5.099+2.82=21.57 units

5 0
3 years ago
Claire makes hot coco with 2 cups of milk with 5 tablespoons of coco. How many tablespoons of coco would he need for 1 cup of mi
postnew [5]

Answer:

2.5

Step-by-step explanation:

5/2=2.5

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6 0
4 years ago
Read 2 more answers
What size does the radius of a sphere need to be for its volume to be larger than its surface area? HINT! It is less than 10. HI
Lera25 [3.4K]
We know that
volume of a sphere=(4/3)*pi*r³----> (r/3)*(4*pi*r²)
and
surface area of sphere=4*pi*r²
so
the volume of a sphere=(r/3)*surface area of sphere
therefore
if r=3
volume of a sphere=(3/3)*surface area of sphere
volume of a sphere=surface area of sphere

if r> 3
the term (r/3) is > 0
so
volume of a sphere > surface area of sphere

if r<3
the term (r/3) is < 0
so
volume of a sphere < surface area of sphere

examples
1) for radius r=3 units
volume of a sphere=(4/3)*pi*3³----> 113.04 unit³
surface area=4*pi*3²----> 113.04 units²
volume is equal to surface area

2) for radius r=10 units
volume of a sphere=(4/3)*pi*10³----> 4186.67 unit³
surface area=4*pi*10²----> 1256 units²
volume is > surface area

3) for radius r=2 units
volume of a sphere=(4/3)*pi*2³----> 33.49 unit³
surface area=4*pi*2²----> 50.24 units²
volume is <  surface area
7 0
3 years ago
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Nitella [24]
The answer is B. hexagon
4 0
3 years ago
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If there are 14 dogs and 23 cats in the shelter. Which ratio DOES NOT accurately compare the
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Answer: B. 23 to 14

Since it asks for the ratio of dogs to cats the 14 has to go first. The other options are all different ways to write the same ratio. Hope this helps!
6 0
3 years ago
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