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irga5000 [103]
1 year ago
12

Find the value of x.

Mathematics
1 answer:
castortr0y [4]1 year ago
4 0

The angle x has a measure of 110 degrees

<h3>How to determine the value of x?</h3>

From the question, we have the triangle shape that can be used in our computation:

On the triangle, the external angles are

x, 140 and 110

These angles are on the same straight line with their corresponding internal angles

By the angle on a straight line theorem, we have the internal angles to be

180 - x, 180 - 140 and 180 - 110

The sum of these angles is 180

So, we have

180 - x + 180 - 140 + 180 - 110 = 180

Evaluate

x = 110

Hence, the value of x is 110 degrees

Read more about angles at

brainly.com/question/7620723

#SPJ1

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Answer:

Sin theta = 12/13

Step-by-step explanation:

From the question;

Cot theta = 5/12

Kindly recall;

Cot theta = 1/ tan theta

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Mathematically

tan theta= opposite/adjacent

to get hypotenuse, we will use Pythagoras’ theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides

let hypotenuse be h

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h^2 = 169

h = √169

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5 0
2 years ago
Suppose you invested $10,000 part at 6% annual interest and the rest at 9% annual interest. If you received $684 in interest aft
victus00 [196]
Assuming simple interest (i.e. no compounding within first year), then
At 6%, interest = 10000*0.06=$600
At 9% interest = 10000*0.09 = $900

Two ways to find the ratio
method A. let x=proportion at 6%
then
600x+900(1-x)=684
Expand and solve
300x=900-684=216
x=216/300=0.72 or 72%
So 10000*0.72=7200 were invested at 6%
10000-7200=2800 were invested at 9%

method B: by proportions
Ratio of investments at 6% and 9%
= 900-684 : 684-600
=216 : 84
= 18 : 7
Amount invested at 6% = 18/(18+7) * 10000 = 0.72*10000 = 7200
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5 0
3 years ago
6/13 as a decimal rounded to the nearest thousandth
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Answer:

the answer will be  0.462

Step-by-step explanation:

3 0
2 years ago
Add 5y - 9 and 2 - 5y
levacccp [35]

Answer:

10y-11

Step-by-step explanation:

6 0
3 years ago
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