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saveliy_v [14]
4 years ago
12

Find x (you must show work)

Mathematics
2 answers:
Ganezh [65]4 years ago
7 0

Answer:

x = 30 degrees

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees.

This means that 2x + 2 + 3x + x - 2 = 180.

We can then combine like terms, getting 6x = 180.

We can then divide both sides by 6, getting x = 30 degrees.

kkurt [141]4 years ago
3 0

Answer:

x = 30

Step-by-step explanation:

Every triangle equals 180. So make an equation first:

2x + 2 + 3x + x - 2 = 180

Next Combine Like Terms:

6x = 180

Then Divide by 6 On Both Sides:

x = 30

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A ladder leans against a building. The angle of elevation of the ladder is 70°. The top of the ladder is 25 ft from the ground.
jeyben [28]
Sine rule

a/Sin(A) = b/Sin(B) = c/Sin(C)
     b
 C / |
a / _| A 
    B  c

We know that a = 70 degrees and A = 25 foot
So 70/Sin(25) = Something
We also know we want C, and that c = 90 degrees
So 70/Sin(25) = 90/Sin(C)
Then you have to rearrange the equations. Start with Multiply all by Sin(C)
So [Sin(C)][70/Sin(25)] = 90
Then divide everything by 70/Sin(25)
So Sin(C) = 90/[70/Sin(25)]
Now you want to isolate C, so Sin-1 everthing
So C = Sin-1{90/[70/Sin(25)]}
So C = 32.91309534
To the nearest tenth, 32.9ft
Hope that helps :)
4 0
4 years ago
Read 2 more answers
Lexi subtracts 9,405 from 11,138 should her answer be greater than or less than 2,000
sergey [27]
Less than because if you subtract 11, 138 minus 9,405 you get the answer you get 1,733 and that is less than 2,000
4 0
4 years ago
Read 2 more answers
A can of nacho cheese has a radius of 8 inches and a height of 4 inches. a can of
tatyana61 [14]

Answer:

8 inches

Step-by-step explanation:

Nacho cheese

v= Pi×radius×2×height

v = 3.14×8×2×4 = 200.96

jalapeño

3.14×4×2=25.12

200.96÷25.12=8

the height is 8

to check your work you can do

(multiply by 8 and see if it equals 200.96)

3.14×4×2×8 = 200.96

since the volume is the same as the volume for nacho cheese we can say that 8 inches for height is correct

8 0
3 years ago
Secants ⎯⎯⎯⎯⎯⎯⎯⎯⎯ and ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ intersect in the exterior of a circle. DJH measures 191° and EG measures 53°. Determine the mea
Alik [6]

Answer:

m\angle EFG =69\degree

Step-by-step explanation:

m\angle EFG =\frac{1}{2}(191- 53)\degree

m\angle EFG =\frac{1}{2}\times 138\degree

m\angle EFG =69\degree

4 0
3 years ago
What is the slope of the line that contains the points (3, 4) and (1, 2)? A. 1 B. –1 C. D.
Scorpion4ik [409]
If you have your points (3,4) (1,2) x=3 and 1 and y=4 and 2 so find a point on the x or y line and go up and over till your line crosses another point and that will give you your slope
8 0
3 years ago
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