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Zarrin [17]
2 years ago
8

Work out the size of the angle X. Give your answer correct to 3 significant figures.

Mathematics
2 answers:
Alika [10]2 years ago
6 0

Answer:

Step-by-step explanation:

take x as reference angle

using tan rule

tan x=opposite/adjacent

tan x=9/5

tan x=1.8

x=tan 61 degree

x=61 degree

for remaining angle

remaining angle+90+61=180 degree(being sum of interior angle of a triangle)

remaining angle=180-151

remaining angle=29 degree

aleksley [76]2 years ago
3 0

Step-by-step explanation:

Recall the Ratio for tan

Tan(theta) = opposite / adjacent

Tan (x) = 9 / 5

solve for x (use Tan^-1(...) )

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A pentagon has angle measures of 12x°, 7x°, 16x°, 9xº, and 10x°. Find the<br> value of x.
8_murik_8 [283]

Answer:

10

Step-by-step explanation:

The sum of all the interior angles of a pentagon is 540°

So...

540 = 12x + 7x + 16x+ 9x + 10x

Combine like terms:

540 = 12x + 7x + 16x+ 9x + 10x

540 = 54x

Divide by 54 on both sides:

540 = 54x

/54     /54

10 = x

Hope this helps :)

8 0
2 years ago
A roofer props a ladder against a wall so that the top of the ladder reaches a 30-foot roof that needs repair. If the angle of e
gizmo_the_mogwai [7]
Set this up like a right triangle with the height of the triangle as 30, the angle across from that side, the reference angle, as 55, and the base is your unknown, x.  This means that we have the angle, the side across from it, and the side adjacent to it.  That sounds like the tangent ratio to me!  Tangent of the angle is the side opposite over the side adjacent: tan(55)= \frac{30}{x}.  Solving for x: x= \frac{30}{tan(55)}.  Do that on your calculator in degree mode to get that the distance between the base of the ladder and the wall is 21 feet
5 0
3 years ago
in the northen hemisphere the ratio of tye area of the water is 2:3 work out the percentage of tge area of the northen hemispher
labwork [276]

Answer:

40%

Step-by-step explanation:

l2:w3 means that the fraction of land is 2/5.

time 2/5 by 20, you get 40/100

convert 40/100 into percentage is 40%

5 0
2 years ago
Wich is the unknown number? which property did u use?
Gwar [14]
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3 years ago
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