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Furkat [3]
3 years ago
11

Measure of Angle 1 is 5x. Measure of Angle 3 is x-24. What is the measure of Angle 1?

Mathematics
1 answer:
olga55 [171]3 years ago
4 0

Answer:

The answer to your question is:  30°

Step-by-step explanation:

Data

m∠ 1 = 5x

m∠ 3 = x - 24

Process

m ∠ 1 = m ∠ 3 because they are vertical angles

            5x = x - 24

            5x - x = 24

            4x = 24

            x = 24 / 4

            x = 6

Angle 1 = 5(6)

            = 30°

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Write an expression for the calculation the difference of the products of 5 and 2 and 5 and 1
oee [108]
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The difference means when you subtract one from the other.  So, the difference of 5*2 and 5*1 means "(5*2)-(5*1)".  (Note: I put in parentheses to make sure the reader understands that 5*2 is separate from 5*1.  5*2-5*1 is confusing: you might not know what to do first!)

So, "(5*2)-(5*1)" can be your answer, OR you can simplify it further by actually doing the multiplication: "10-5".  If you want the answer, just subtract--the expression is equal to 5.

Answer: "<span>(5*2)-(5*1)" OR "10-5" OR "5"</span>
3 0
3 years ago
Patrick is keeping track of how far he jogs each morning.
katrin2010 [14]

Answer:

21:50

Step-by-step explanation:

We need to find the ratio of 420 m to 1 km.

We know that,

1 km = 1000 m

So,

The ratio becomes,

\dfrac{420\ m}{1\ km}=\dfrac{420\ m}{1000\ m}\\\\=\dfrac{42\ m}{100\ m}\\\\=\dfrac{21}{50}

So, the required ratio is 21:50.

5 0
3 years ago
Let A and B be two disjoint events such that P(A) = .30 and P(B) = .60. What is P(A and B)? 0.18 0.72 0.90 0 none of the above
antiseptic1488 [7]

Answer:

0

Step-by-step explanation:

If two events are disjoing (aka mutually exclusive) that means that there is 0 overlap or the intersection equals 0

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4 0
3 years ago
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den301095 [7]
The divided will 65 and 195.

1:3 =260
1x+3x =260
Add 1x and 3x
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Divide the four on both sides
4x/4=260/4
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Now find the one for 3 by multiplying
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3 years ago
At a local print shop, 14 copies can be made for $4. At this rate, how much would it cost to make 63 copies?
Illusion [34]
It would cost 18$ ! hope this helps :)
7 0
3 years ago
Read 2 more answers
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