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salantis [7]
3 years ago
7

Angle ABC is bisected by line segment AD. If angle ABC measures 108° and one of the smaller angles created by line AD measures (

5x+4), what is the value of x?
Mathematics
1 answer:
patriot [66]3 years ago
8 0

Answer:

x = 10

Step-by-step explanation:

One of the smaller angles that is created by the angle bisector measures 5x+4.

An angle bisector cuts an angle into two equal parts. So, 5x+4 = 1/2 (108) or

2(5x+4)=108 (divide both sides by 1/2)

10x+8=108 (distribute)

10x=100 (subtract 8 from both sides)

x=10 (divide by 10)

x=10

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akash's salary in 2014 was 25% more than that of 2013,then his previous salary was what % of present salary
marishachu [46]

Answer:

80%

Step-by-step explanation:

Focus on the important parts of the problem:

The present salary is 25% more than the previous salary.

previous = % of present ?

<u>Use a mock/fake situation.</u> Let' say the previous salary is $100.

100 = % of present

Present salary is $100 increased by 25%.

$100 X 1.25 = $125

100 = % of 125

Solve this in decimal form (convert it to a percentage later).

Let x be the percentage in decimal form.

100 = 125x

100/125 = x    Isolate "x" by dividing by sides by 125

x = 0.80

Convert 0.80 to percentage by multiplying by 100.

0.80 X 100 = 80%

When comparing two things using percentage, 100% is the same. Less than 100% is less and more than 100% is more.

Since his previous salary was less than his present salary, this answer makes sense.

Therefore his previous salary was 80% of his present salary.

3 0
3 years ago
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(9, -11)<br> (7, 14)<br> (10,20)<br> Is this realation a function<br> Yes <br> No
Softa [21]

Answer: this relation is a function because each x value only has one y value.

8 0
3 years ago
so i just failed a test which somehow brought my grade from a b+ to a d how is that possible guys?!!!! im screwed and dead​
mixer [17]

Answer:

Your previous grades must have been really high and messed up your average once you failed, bringing your grade down a lot.

Step-by-step explanation:

6 0
3 years ago
Vicky can make 8 bracelets in 2 days. How many bracelets can she make in September
iren2701 [21]

Answer:

120 bracelets.

Step-by-step explanation:

She can make 4 bracelets in one day and there are 30 days in september. 4 x 30 = 120

4 0
3 years ago
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What is the sum of 8.4*10^8 and 4.2*10^7 written in scientific notation?
anyanavicka [17]
(8.4*10^8) + (4.2*10^7)

= 882,000,000
= 8.82*10^8

Hope it helped :)
5 0
3 years ago
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