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Thepotemich [5.8K]
3 years ago
14

“If the alternate exterior angles are congruent, then the lines are parallel.”

Mathematics
1 answer:
sergeinik [125]3 years ago
5 0
The correct answer is <span>If the alternate exterior angles are not congruent, then the lines are not parallel.

The inverse one is the one with the nots in it. Although the fourth version also has nots, it is actually a contrapositive because of the virtue of its form. </span>
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Let a = 24, b = 12, and c = 4. Evaluate ac+bc .
seropon [69]

Answer:

144

Step-by-step explanation:

If u multiply 24 x4 it is 96 and when I multiply 12x4 is 48 and u add 96 plus 48 u get 144.

6 0
3 years ago
Read 2 more answers
Suppose that 18 inches of wire costs 72 cents.
NeX [460]

Answer:

41 inches of wire will cost 164 cents.

Step-by-step explanation:

1st Method

Use proportions!

18/ 72 = 41/ c

Cross multiply

18 * c = 72 * 41

18c = 2952 divide both sides by 18

<em>c = 164</em>

2nd Method.

Find the rate of the costs. r = rate

18*r = 72

r = 4 cents/inch

Now that you've found the rate you can multiply it by 41 inches to find the cents the wire costs!

41 inch * r (cents/inch)          inches cancels out.

41 * 4 = 164

<em>164 cents</em>

7 0
3 years ago
April and Cody invest $5,000 each at their local bank. April invests at a 4% simple interest rate, and Cody invests at a 4% inte
maria [59]

Answer:

  • $24.32

Step-by-step explanation:

<u>The difference in balances is:</u>

  • 5000*(1 + 0.04)^3 - 5000*(1 + 0.04*3) =
  • 5624.32 - 5600 =
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3 0
3 years ago
Which number expresses 6.72 as a fraction in simplest form?
Dimas [21]

The number that expresses 6.72 as a fraction is simplest form is...

6.72= 168/25

5 0
3 years ago
Find the average rate of change for fx) = x2 – 3x – 10 from x = 4 to x = 6.
Leviafan [203]

Answer:

7

Step-by-step explanation:

The rate of change is defined as

f(x2) - f(x1)

--------------------

x2-x1

x2 = 6

f(6) = x^2 – 3x – 10 = 6^2 -3*6 -10 = 36 - 18-10=8

x1 = 4

f(4) = x^2 – 3x – 10 = 4^2 -3*4 -10 = 16 - 12-10=-6

Substitute the values into the expression

8 -  -6

--------------------

6-4

8+6

------------

2

14/2= 7

6 0
3 years ago
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