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Aleks04 [339]
3 years ago
12

Exterior angle shown, solve for x.

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
4 0

Answer:

x= 10

Step-by-step explanation:

The missing angle inside is 60°

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Two basketballs are thrown along different paths. Determine if the basketballs’ paths are parallel to each
Paul [167]

Answer:

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

Step-by-step explanation:

Remember that:

  • Two lines are parallel if their slopes are equivalent.
  • Two lines are perpendicular if their slopes are negative reciprocals of each other.
  • And two lines are neither if neither of the two cases above apply.

So, let's find the slope of each equation.

The first basketball is modeled by:

\displaystyle 3x+4y=12

We can convert this into slope-intercept form. Subtract 3<em>x</em> from both sides:

4y=-3x+12

And divide both sides by four:

\displaystyle y=-\frac{3}{4}x+3

So, the slope of the first basketball is -3/4.

The second basketball is modeled by:

-6x-8y=24

Again, let's convert this into slope-intercept form. Add 6<em>x</em> to both sides:

-8y=6x+24

And divide both sides by negative eight:

\displaystyle y=-\frac{3}{4}x-3

So, the slope of the second basketball is also -3/4.

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

3 0
2 years ago
In the next step of the derivation, we passed a horizontal plane through the sphere b up from the center. We let the radius of t
ra1l [238]

Answer:

it's A

Step-by-step explanation:

Just took the assignment on EDG

7 0
3 years ago
An acute angle θ is in a right triangle with sin θ = five sixths. What is the value of cot θ?
Molodets [167]
<span>The value of cot is √13/6</span>
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