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guajiro [1.7K]
3 years ago
6

Sam draws three pairs of vertical angles and measures them. What is a reasonable conjecture for Sam to make by recognizing a pat

tern and using inductive reasoning?
a) Vertical angles are supplementary.
b) Vertical angles are congruent.
c) Vertical angles are complementary.
d) Vertical angles are acute.

Mathematics
2 answers:
Lunna [17]3 years ago
6 0

Answer:

B

Step-by-step explanation:

52=52

100=100

72=72

therefore b) Vertical angles are congruent. is the answer to go with

pshichka [43]3 years ago
4 0
The answer is b. hope that helps
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Ken has a pole that is 26 inches long. He wishes to cut it into two pieces so that one piece will be 8 inches longer than the ot
Yuliya22 [10]

Answer:

9 inches

Step-by-step explanation:

Do the question algebraically, represented by this equation:

let x be the shorter piece

x + (x + 8) = 26                      (longer piece is 8 units longer)

Remove brackets

x + x + 8 = 26                 Combine like terms              

2x + 8 = 26                   Start isolating "x"

2x + 8 - 8 = 26 - 8           Subtract 8 from both sides

2x = 18

2x/2 = 18/2           Divide both sides by 2

x = 9                    shorter piece

The shorter piece would be 9 inches.

If you needed the longer piece too:

longer piece = x + 8

x + 8

= 9 + 8

= 17

The longer piece would be 17 inches.

Check your answer:

Longer + Shorter = 26           Substitute the lengths

17 + 9 = 26                    Add

26 = 26                same number

LS = RS                left side equals right side

The answer is correct.

3 0
3 years ago
Brett has a $30 online gift certificate. He plans to buy as many books as he can. The cost of each book is $4. There is also a s
kkurt [141]

Answer:

7 books

Step-by-step explanation:

make an equation

x = # of books each book is $4 so its 4x

the shipping fee no matter how many books he buys will be $2 so it's just 2

the equation looks like this:

4x + 2 = 30

we set equal to 30 cuz he can't spend more than $30

solve for x

4x = 30 -2

4x = 28

x = 7

Brett can buy no more than 7 books.

7 0
3 years ago
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Answer:

Direct.

Step-by-step explanation:

A varies directly as the square of r.

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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