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2 years ago

What is the measure, in degrees, of angle of FHE?

Mathematics

2 answers:

Vedmedyk [2.9K]2 years ago

3 0

Answer:

Measure of an angle In geometry, an angle. is measured in degrees, where a full circle is 360 degrees. ... The degree is divided in to 60 minutes. For even finer measurements the minute is divided again into 60 seconds, However this last measure is so small, it only used where angles are subtended over extreme distances such as astronomical measurements, and measuring latitude and longitude.

Step-by-step explanation:

Keith_Richards [23]2 years ago

3 0

Answer:

15 degrees

Step-by-step explanation:

To find the angle, first consider that you have to find all the the other angles inside the triangle (which should equal 180 degrees). Second, the angle that is missing is supplementary to the angle 40 degrees in the other triangle and the 2 angles should add up to 180 degrees as well. Meaning that angle is 140 degrees.

If you add 140 degrees and 25 degrees, you should get 165 degrees, leaving the remaining 15 degrees to be made up by the last angle, the one you're looking for, FHE.

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Find the measure of x, then find the measure of each angle

stepladder [879]

First, you have to imagine that you cut the upper triangle. If you do that, then this is how the inner angles are added to 180°:

180° = 90° + (x/2) + (7x - 90°)

180° = x/2 + 7x

180° = x *(1/2 + 7)

180° = x*(15/2)

2/15 * 180° = x

24 = x

Angle A:

A= x/2

A = 24/2

A = 12°

Angle B:

B = 7x

B = 7*24

B = 168°

The two bottom angles are both worth 90°.

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2 years ago

What is the sum of the of the infinite geometric series 0.7+0.07+0.007+...?

andrew11 [14]

Answer:

Step-by-step explanation:

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1 year ago

Use the law of Sines to find the missing angle of the triangle. <br> Find m

Whitepunk [10]

Ah...Trigonometry is fun!

The law of sines states:
$\frac{sinA}{a}= \frac{sinB}{b} = \frac{sinC}{c}$
The transitive property (switching the orders of the equations) applies here. Therfore, we can say that $\frac{sinA}{a}=\frac{sinC}{c}$

We then plug in our given values to find C

$\frac{sin24}{77}=\frac{sinC}{162}$
$\frac{162*sin24}{77}=sinC$
Solving, we get 0.8557316387. We're not done yet!

We are trying to find an angle measure, so we'll do the inverse of the ratio we used (sin).

arcsin0.8557316387 (arcsin is the same as inverse sin)
=58.8 (approximate)

So the measure of angle C is 58.8. You could check this by reinserting it into the equation $\frac{sinA}{a}= \frac{sinB}{b} = \frac{sinC}{c}$ .

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kifflom [539]

Answer:

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Step-by-step explanation:

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dexar [7]

Answer:

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Step-by-step explanation:

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