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masya89 [10]
3 years ago
9

Find h. 10 in. h h = [?] in. 4 in.

Mathematics
1 answer:
aleksklad [387]3 years ago
8 0

Answer:

h = sqrt(96)

Step-by-step explanation:

We can use the pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

2^2 + h^2 = 10^2

4 + h^2 = 100

h^2 = 100-4

h^2 = 96

Taking the square root of each side

h = sqrt(96)

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What is m&lt;efh =(5×+1)°,m&lt;hfg =62° and m &lt;efg = (18×+11)°, find each measure.​
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Answer:

m\angle efg=21\°\\\\m\angle hfg=62\°\\\\m\angle efg=83\°

Step-by-step explanation:

Given:

m\angle efh=5x+1\\m\angle hfg=62\\m\angle efg=18x+11

Now, from the figure shown below,

The sum of angle efh and angle hfg is equal to the angle efg. This is true because of the angle addition postulate which states that when two angles are formed with the same vertex and different sides, then their sum is equal to the total angle made by both the sides at the vertex.

Here, point 'f' is the vertex and the sides are 'ef and 'fg'.

Therefore,

m\angle efh+m\angle hfg=m\angle efg

Plug in their values and solve for 'x'. This gives,

5x+1+62=18x+11\\5x+63=18x+11\\18x-5x=63-11\\13x=52\\x=\frac{52}{13}=4

Therefore, the angle measure of each are:

m\angle efg=5x+1=5(4)+1=20+1=21\°\\\\m\angle hfg=62\°\\\\m\angle efg=18x+11=18(4)+11=72+11=83\°

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Hey there! I'm happy to help!

Slope intercept form is y=mx+b, where m is the slope and b is the y-intercept. We already have the slope, so our equation so far is y=3/2x+b. We just need to find the b for it to be complete.

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