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katovenus [111]
3 years ago
12

If angle 1 and angle 2 are vertical angles, and the m<1 = 10x - 9 and m<2 = 4x + 15. Find the value for x.

Mathematics
1 answer:
weeeeeb [17]3 years ago
6 0

Answer:

x = 4

Step-by-step explanation:

Vertical angles are equal.

m∠1 = m∠2

10x - 9 = 4x + 15

Add 9 to both sides

10x = 4x + 15 + 9

10x = 4x + 24

Subtract 4x from both sides

10x -4x = 24

6x = 24

Divide both sides by 6

x = 24/6

x = 4

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Sherry has a package in the shape of a rectangular prism. What is the volume, in cubic inches (in.), of the rectangular prism? (
Rudiy27

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the dimension of the prism is not given. However, the following steps can serve as a guide for you.

The volume of a rectangular prism is calculated as thus:

Volume = Length * Width * Height

So, Take for instance

Length = 2\ in

Width = 3\ in

Height = 4\ in

The Volume would be:

Volume = 2\ in * 3\ in * 4\ in

Volume = 24\ in^3

7 0
3 years ago
Evaluate 6 - 2(-1) + | -5 | =
tester [92]

Answer:

  13

Step-by-step explanation:

The product of two negative numbers is positive. The absolute value of a number is its magnitude written with a positive sign.

  6 -2(-1) +|-5|

  = 6 + 2 + 5

  = 13

8 0
3 years ago
What is the maximum number of pages the report can have so that it can be completely stored on a USB drive that holds 4 \cdot 10
lana [24]

Answer:

<em>2,300,000pages  report.</em>

Step-by-step explanation:

Given a USB drive with memory of 4.6*10⁶KB, in order to know the maximum number of pages a report can have so that it can be completely stored on the drive, the conversion factor must be used.

We must first understand that 1 page of a document uses up approximately 2kB of the storage.

Since 2kB = 1page

4.6*10⁶KB = x page

Cross multiply

2kB * x = 4.6*10⁶KB * 1

2x =  4.6*10⁶

x =  4.6*10⁶/2

x =  2.3*10⁶

x = 2,300,000

<em>Hence the maximum number of pages that the report can have so that it can be completely stored on a USB drive that holds 4.6*10⁶KB is approximately 2,300,000pages  report.</em>

4 0
3 years ago
Sorry guys new one thank you math people your the best you guys save my life :)
marissa [1.9K]

Answer:

2.0 is the correct answer

Step-by-step explanation:

hope it helps you

7 0
3 years ago
Distance between (1,5) (4,1)
Ahat [919]

Answer:

4  units right - 4 units left

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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