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lions [1.4K]
3 years ago
12

Please help     Fill in the missing reasons in the proof

Mathematics
2 answers:
Irina-Kira [14]3 years ago
4 0
I'm not a whiz at proofs but I think I know the answers.

A. Given
B. Alternate Interior Angles Theorem
C. Transitive Property of Equality
D. AAS Postulate 
Sliva [168]3 years ago
3 0
A. Given
B. Alternate interior angle theorem
C. Reflexive property
D. SAS
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135

Step-by-step explanation:

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Use the following function rule to find f(-3.29).
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3 years ago
What is the absolute value of the distance from the numbers -6 to 5?
katovenus [111]

Answer: 11

Step-by-step explanation:

It is 11 because count from -6...

-6 = 0

-5 = 1

-4 = 2

-3 = 3

-2 = 4

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0 = 6

1 = 7

2 = 8

3 = 9

4 = 10

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8 0
2 years ago
A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the
Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of​ metal

y ----> the original width of the piece of​ metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in

The volume of the box is equal to

V=(x-10)(y-10)5

V=930\ in^3

so

930=(x-10)(y-10)5

simplify

186=(x-10)(y-10) -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

so

x=y+25 ----> equation B

substitute equation B in equation A

186=(y+25-10)(y-10)

solve for y

186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

x=16+25=41

therefore

The original length was 41 inches and the original width was 16 inches

3 0
3 years ago
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