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Alex
4 years ago
6

Pair of Congruent alternate interior angles

Mathematics
1 answer:
Oxana [17]4 years ago
7 0

Answer:

it's states that.if two parralel lines are caught by a transversal, then the pairs of alternate interior angles are congruent

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A man is 13 times as old as his son is. In 10 years he will be 3 times as old as his son is now. How old are they now?
valkas [14]

Answer:

the son is 2

man is 26

+10 yrs

son=12

man=36

Step-by-step explanation:

Let the son's age be x.

Then the father's age is 13x.

In ten years their ages will be (x+10) and (13x+10).

(13x+10)=3(x+10)

13x+10=3x+30

10x=20

x=2

The son is 2 years old.

3 0
3 years ago
Pattie is itemizing deductions on her federal income tax return and had $4800
muminat

Answer: 1500

Step-by-step explanation:

6 0
3 years ago
For her phone service, Martina pays a monthly fee of $25, and she pays an additional $0.07 per minute of use. The least she has
Mekhanik [1.2K]

Answer: Anything that is 1202 or larger

In other words, m \ge 1202

So we could have m = 1202, or m = 1203, or m = 1204, etc.

===============================================

Explanation:

  • m = number of minutes used
  • 0.07m = amount charged for those minutes used excluding the $25
  • 0.07m+25 = total monthly bill now including the extra $25 fee

The monthly bill is at least $109.14, since this is the lowest amount she has been charged.

\text{monthly bill} \ge 109.14\\\\0.07m+25 \ge 109.14\\\\0.07m \ge 109.14-25\\\\0.07m \ge 84.14\\\\m \ge \frac{84.14}{0.07}\\\\m \ge 1202\\\\

This says that the least number of minutes Martina has used is 1202 minutes.

So if m was a whole number, then m could be selected from the set {1202, 1203, 1204, ...}

Side note: 1202 minutes = 1202/60 = 20.033 hours approximately.

8 0
3 years ago
Isabella ran the 100-meter dash five times. The time it took her to complete each race, in seconds, was 12.7, 12.807, 12.78, 12.
Stells [14]

Given:

Number of 100-meter races = 5

The time it took Isabella to complete each race, in seconds, was 12.7, 12.807, 12.78, 12.08, and 12.087.

To find:

The decimals in order from greatest to least.

Solution:

The time it took Isabella to complete each race, in seconds, was shown below:

12.7, 12.807, 12.78, 12.08, 12.087

We need to arrange this data in descending order.

In all 5 numbers the digits before decimals are same. On comparing the digits on the tenth place and hundredth place, we get

12.807 > 12.78 > 12.7 > 12.087 > 12. 08

Therefore, the required order of given data is 12.807, 12.78, 12.7, 12.087, 12. 08.

7 0
3 years ago
A student wants to prove that the base angles of an isosceles triangle are congruent. The student draws isosceles triangle ABC w
nirvana33 [79]

Answer:

I’m pretty sure it’s a, c, e

Step-by-step explanation:

I’m not sure

3 0
3 years ago
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