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Lilit [14]
3 years ago
10

2. Two angles have a common vertex but no common side. How can you tell whether the angles are vertical angles?

Mathematics
1 answer:
Maksim231197 [3]3 years ago
7 0

Explanation:

The angles are <em>vertical angles</em> if the opposites of the rays forming one of the angles are the rays forming the other angle.

More formally, if V is the common vertex, and ...

  • R is a point on one of the rays forming Angle 1
  • S is a point on the ray that is the opposite of ray VR
  • T is a point on the other ray forming Angle 1
  • U is a point on the ray that is the opposite of ray VT

Then angle RVT and angle SVU are vertical angles.

___

Another way to say this is that points R, V, S are collinear, as are points T, V, U, and the two angles of interest are RVT and SVU.

If the above conditions cannot be met, then the angles are not vertical angles.

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Sarah kicked a ball in the air. The function
Aleksandr-060686 [28]

Answer: The ball hits the ground at 5 s

Step-by-step explanation:

The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:

f=30 t- 6t^{2} (1)

Where f models the height of the ball in meters and t the time.

Now, let's find the time t when the ball Sara kicked hits the ground (this is when f=0 m):

0=30 t- 6t^{2} (2)

Rearranging the equation:

6t^{2}-30 t=0 (3)

Dividing both sides of the equation by 6:

t^{2}-5 t=0 (4)

This quadratic equation can be written in the form at^{2}+bt+c=0, and can be solved with the following formula:  

t=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a} (5)  

Where:  

a=1  

b=-5  

c=0  

Substituting the known values:  

t=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(0)}}{2(1)} (6)  

Solving we have the following result:

t=5 s  This means the ball hit the ground 5 seconds after it was kicked by Sara.

6 0
3 years ago
The area of a rectangle is 162/3 ft2 . The length is 61/4 . Find the width. Show all work
brilliants [131]

Answer:

I have gotten 216/61, but I am not sure if this is right.

Step-by-step explanation:

By using the "Keep It, Change It, Flip It" tactic, I was able to come up with an answer and simplify it.

1. Keep the original divisor.

    162/3

2. Change the sign.

    Division becomes multiplication.

3. The last fraction is reciprocated.

    61/4 becomes 4/61.

3 0
3 years ago
A kite Has four equal sides. If 5 inches is added to each side, the new perimeter will be 56 inches. Find a side length of the o
Zina [86]

Answer:

36

Step-by-step explanation:

7 0
2 years ago
What is the property ??
hram777 [196]

The distributive property is being displayed here. The distributive property shows if you have a problem like 3(a+c), it can be converted into 3a+3c. It shows itself in this because it is distributing -2 to both a and b.

Answer: The distributive property is being shown here.

Hope I helped!

4 0
3 years ago
Can someone explain the steps to finding the perimeter of a semi-circle? I didn't really understand it during class. Thanks
andriy [413]
We know that the perimeter of a cylinder is 2πr we will find it as we do always. The perimeter will be :
2 pi r
= 2 pi * 20
= 40 pi
Because it says rounded to the nearest tenth the answer will be : 125.6 cm^3
Because we have a half of a cylinder we will just divide the answer we got by 2:
125.6cm^3 /2 =62.8
The answer is 62.8 cm^3
6 0
2 years ago
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