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iVinArrow [24]
3 years ago
10

If m 1 equals 40 find the measure of 4

Mathematics
1 answer:
gogolik [260]3 years ago
3 0
Well, visually picture 2 lines bisecting each other. The opposite angle of ∠1 is ∠3 and the opposite angle of ∠2 is ∠4.

Remember, when all 4 angles are added together, it equals 180 :)

Also, remember that the opposite angles are always the same.

So, because ∠3 is opposite of ∠1, and ∠1 = 40°, ∠3 also equals 40°

So, simply subtract 80° from 180° because you add the two angles together.

180° - 80° = 100°

Divide 100° by 2, because there are 2 angles left :)

100° / 2 = 50°

So, ∠2 and ∠4 = 50°

SO YOUR ANSWER IS :

∠1 = 40°, ∠2 = 50°, ∠3 = 40°, ∠4 = 50°

~Hope I helped!~
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What multiplied by itself 3 times gives you -216 please answer asap!!!
AlexFokin [52]

Answer:

-6

Step-by-step explanation:

given

x³ = -216

x = (-216)^⅓

factorize

x = [(-6)×(-6)×(-6)]^⅓

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4 0
3 years ago
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A plane flying horizontally at an altitude of 2 mi and a speed of 540 mi/h passes directly over a radar station. Find the rate a
Rasek [7]

Answer:

The plane's distance from the radar station will increase about 8 miles per minute when it is 5 miles away from it.

Step-by-step explanation:

When the plane passes over the radar station, the current distance is the altitude h = 2. Then it moves b horizontally so that the distance to the station is 5. We can form a rectangle triangle using b, h and the hypotenuse 5. Therefore, b should satisfy

h²+b² = 5², since h = 2, h² = 4, as a result

b² = 25-4 = 21, thus

b = √21.

Since it moved √21 mi, then the time passed is √21/540 = 0.008466 hours, which is 0.51 minutes. Note that in 1 minute, the plane makes 540/60 = 9 miles.

The distance between the plane and the radar station after x minutes from the moment that the plane passes over it is given by the function

f(x) = \sqrt{((9x)^2 + 2^2)} = \sqrt{(81x^2+4)}

We have to compute the derivate of f in x = 0.51. The derivate of f is given by

f'(x) = \frac{162x}{2\sqrt{81x^2+4}}

also,

f'(0.51) = \frac{162*0.51}{2\sqrt{81*0.51^2+4}} = 8.2486

The plane's distance from the station will increase about 8 miles per minute.

4 0
3 years ago
What is f(5) for the function f(x)=2x+7
denis-greek [22]

Answer:

Solution:

f(5)=2×5+7

=10+7

=17

8 0
3 years ago
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Can someone solve this?
Gemiola [76]

Answer:

B : 4x\sqrt{17}

Step-by-step explanation:

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4 0
3 years ago
Dee Dee bought an Apple for $0. 85, a sandwich for $4. 50, and a bottle of water for $1. 50. How much did Dee Dee spend?
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To figure out how much she spent all we have to do is add up $0.85, $4.50 and $1.50

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Therefore she spent $6.85

Hope this helps

8 0
3 years ago
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