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4 years ago

∠A and ∠B are vertical angles with m∠A=x and m∠B=3x−60 . What is m∠A ?

1 answer:

3 0

As they are vertical angles, their magnitude would be equal.
x = 3x - 60
3x - x = 60
2x = 60
x= 30

In short, Your Answer would be 30

Hope this helps!

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BlackZzzverrR [31]

Answer:

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3 years ago

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Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.

DENIUS [597]

Answer:

$\frac{7}{\sqrt{3}}$

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

$d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |$ --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

b = 0

c = -6

m = 1

n = 1

t = 1

r = 6

Substitute these values into equation (i) as follows;

$d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |$

$d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |$

$d = |\frac{(-7)}{\sqrt{3}} |$

$d = \frac{7}{\sqrt{3}}$

Therefore, the shortest distance from the point to the plane is $d = \frac{7}{\sqrt{3}}$

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4 years ago

The basketball team is traveling 347 miles from Nashville, Tennessee to Columbus, Ohio for a national tournament. The team plans

Andrej [43]

I believe the answer is about 3:30 pm.

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3 years ago

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Ghella [55]

Answer:

x=41

Step-by-step explanation:

so since this is a right triangle you can use the Pythagorean Theorem to find the missing side. the two sides you know are 'a' and 'b' and the missing side is 'c'. the theorem says that:

a^2+b^2=c^2

so:

9^2 +40^2=c^2

solve for the exponents:

81 +1600=c^2

1681=c^2

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hope this helps :)

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valkas [14]

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3 years ago

∠A and ​ ∠B ​ are vertical angles with m∠A=x and m∠B=3x−60 . What is m∠A ?

∠A and ∠B are vertical angles with m∠A=x and m∠B=3x−60 . What is m∠A ?