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3 years ago

Find the value of x and y.

Mathematics

1 answer:

Leya [2.2K]3 years ago

4 0

Answer:

x = 63 y = 27

Step-by-step explanation:

The straight line is 180 degrees

subtract 117 from 180 to get 63

It says x+7= 90, so subtract x(63) from 90 to get 27

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Tan9°. tan27°. tan45°. tan72°. tan81°= 1 could u plz solve it with clear process

Inga [223]

Correct question:-

Prove that tan9.tan17.tan45.tan73.tan81=1

LHS

$\\ \sf\longmapsto tan9.tan17.tan45.tan73.tan81$

$\\ \sf\longmapsto tan9.tan81.tan17.tan73.tan45$

$\\ \sf\longmapsto tan(90-81).tan81.tan(90-73).tan73.1$

$\\ \sf\longmapsto cot81.tan81.cot73.tan73$

$\\ \sf\longmapsto 1.1$

$\\ \sf\longmapsto 1$

5 0

2 years ago

Read 2 more answers

Thr four angles of a quadrilateral L are in the ratio 5:2:3:8find the angle

Anuta_ua [19.1K]

Ratio = 5:2:3:8
Sum of all internal angles = 360°
5x + 2x + 3x + 8x = 360°
18x = 360°
x = 20°
Therefore,
5x = 100°
2x = 40°
3x = 60°
8x = 160°
5:2:3:8 :: 100:40:60:160.

5 0

3 years ago

Read 2 more answers

6. Write the equation of the line.

liberstina [14]

Answer:

y = x + 2

Step-by-step explanation:

As the equation of a line is in the form y = mx + c:

Step 1 - Calculate the y intercept

This can be done by looking at the y coordinate where x = 0:

y = mx + c

In the picture, the y intercept is 2 so:

y = mx + 2

Step 2 - Calculate the slope

This can be calculated by:

$\frac{\text{change in y}}{\text{change in x}}$

Get two sets of coordinates:

(0, 2) and (2, 4)

Calculate the changes by subtracting from one another:

$\frac{4 - 2}{2 - 0} \\\frac{2}{2}\\=1$

So the gradient is 1, meaning the equation of the line is:

$y = 1x + 2 \\\text{or}\\y = x + 2$

Hope this helps!

4 0

2 years ago

Find the principal amount invested if there is $9300 in the account after 5 years and earned 4% simple interest per year.

Zielflug [23.3K]

Answer:

11314.87379 (This is still rounded).

Step-by-step explanation:

Year 1:

9300*4%=372. 9300+372=9672.

Year 2:

9672*4%=386.88. 386.88=10058.88.

Year 3:

10058.88*4%=402.3552. 402.3552+10058.88=10461.2352.

Year 4:

10461.2352*4%=418.449408. 418.449408+10461.2352=10879.68461

Year 5:

10879.68461*4%=435.1873843. 435.1873843+10879.68461=11314.87379.

4 0

3 years ago

Write an algebraic expression to represent the verbal expression

MakcuM [25]

You set it up like this.

It says "the difference", so you put a minus sign: -
It says that the minuend, or the part being taken away from is a quantity equal to the product of 4 and "some number" (we'll use x), so now you have: (4 * x) -
Next, it says the subtrahend, or part being removed, is the square of "the number", meaning we use the "some number", x, from before, so now you have: (4 * x) - x^2

6 0

3 years ago