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adoni [48]
3 years ago
14

Let W be a point between points U and V on

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
4 0
So if point W is somewhere on the line segment UV, then the equation UV = UW + WV is true.

UV = UW + WV\\(13)=(2y-9)+(y-5)\\13=2y-9+y-5\\13=(2y+y)+[(-9)+(-5)]\\13=3y-14\\27=3y\\\\y=9
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A 12 ft ladder leans against the side of a house. The top of the ladder is 10ft off the ground. Find x, the angle of elevation o
attashe74 [19]

The image is missing, so i have attached it.

Answer:

x = 56.44°

Step-by-step explanation:

From the attached image, we can see that this is a right angle triangle which has opposite, adjacent and hypotenuse as sides. Since we want to find the angle x, thus, we can make use of trigonometric ratios.

From the attached image, the side opposite to angle x is 10ft and the hypotenuse is 12 ft.

From trigonometric ratios, we know that, sin x = opposite/hypotenuse

So, sin x = 10/12

x = sin^(-1) (10/12)

x = sin^(-1) 0.8333

x = 56.44°

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3 years ago
Simplify this expression <br> 7z+5+6z-9
Simora [160]

Answer:

7z + 5 + 6z - 9  (Add 7z and 6z, subtract 9 from 5)

<em>13z - 4  </em>(Can't be simplified further)

8 0
2 years ago
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Grace [21]

Answer:

I think its b

Step-by-step explanation:

6 0
3 years ago
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∠F and ∠G are supplementary angles. If m∠F is two less than six times the measure of ∠G, find the measures of both angles
Mnenie [13.5K]

Answer:

∠ G = 26°, ∠ F = 154°

Step-by-step explanation:

Express ∠ F in terms of ∠ G, that is

F = 6G - 2

and since the angles are supplementary, then

G + 6G - 2 = 180, that is

7G - 2 = 180 ( add 2 to both sides )

7G = 182 ( divide both sides by 7 )

G = 26

Thus

∠ G = 26° and ∠ F = 6(26) - 2 = 156 - 2 = 154°

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3 years ago
What is the value of the this expression when a=5 and k=-2
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Answer:

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Step-by-step explanation:

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