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Anastaziya [24]
2 years ago
8

Given that AB is a line segment and the angle a = 75°, work out the value of x.

Mathematics
1 answer:
jenyasd209 [6]2 years ago
7 0

Answer:

x = 21

Step-by-step explanation:

given : angle a = 75

we need to find the value of x.

To find the value of x.

we know that it is a straight angle so the sum of angles on a line will be 180

3x + 2x + a = 180

5x + 75 = 180

5x = 180 - 75

5x = 105

x = 105/5

x = 21

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If two angles are complementary, and one angles measures 36 degrees, what is the measure of the other angle?
Alex777 [14]

Answer:

Measure of the other angle is equal to 144°.

Step-by-step explanation:

An angle is formed by two rays or lines or line segments that share the same vertex.

Two angles are said to be complementary if their sum is 180°.

Measure of one angle is equal to 36°.

Let measure of another angle be x

Therefore,

x+36=180\\x=180-36

x=144°

So, measure of the other angle is equal to 144°.

6 0
3 years ago
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A car valued at £18000 at the start of 2017, depreciated in value by 5% each year for 3 years. How much did it lose in value ove
Anna11 [10]

<u>Answer:</u>

The amount lost over the 3 years s 2567.25£  

<u>Explanation:</u>

$\mathrm{F}=\mathrm{I} \times\left(1-\left(\frac{r}{100}\right)\right)^{\mathrm{n}}$

where F = final value after n years

I = initial value of the car in 2017 = £18000 (given)

Since the value is depreciated 5% every year for 3 years,

r = percentage rate of depreciation = 5% (given)

n = 3 years

Substituting these values in formula, we get

$\mathrm{F}=18000 \times\left(1-\frac{5}{100}\right)^{3}$

= $18000 \times\left(\frac{95}{100}\right)^{3}$

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Finally 18000-15432.75 = 2567.25£ is the amount lost over this period.  

6 0
3 years ago
A system of linear equations is graphed.
Alika [10]
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I hope I've helped!
8 0
3 years ago
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Serhud [2]

Answer: 0.5 as decimal 50% as pertange hope i helped

Step-by-step explanation: <3

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Ulleksa [173]

Answer:

\sqrt 54

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Step-by-step explanation:

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Also,

\sqrt 9.\sqrt 6

&

\sqrt {27}.\sqrt 2

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3 years ago
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