In your own words define angle

Answers

Answer 1
Answer: An angle is two rays that lie on one plane, and both have the same endpoint. 

It could look like this :  ∠
Answer 2
Answer: they both have the same end point like this <

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What are the square roots of 961?A.−480.5 and 480.5B.−31 and 31C.−21 and 21D.−19 and 19
Line segment EF is shown on the coordinate grid:

f - 354 = 1221
A. f=877
B. f=1,565
C. f=867
D. f=1,575

Answers

f-354=1221           add 354 to both sides

f+354-354=1221+354\n\n\boxed{f=1,575}\to\boxed{D.}

What is 9.765 rounded to the nearest tenth

Answers

You round it up to 9.8 because the hundredth place is above 5.

The 7 is the tens place, 6 is the hundredth, and 5 is thousandth.

it would be 9.8 rounded to the nearest tenth

Under which angle conditions could a triangle exist? Check all that apply.3 acute angles
2 acute angles, 1 right angle
1 acute angle, 1 right angle, 1 obtuse angle
1 acute angle, 2 obtuse angles
2 acute angles, 1 obtuse angle

Answers

Answer:

  1. 3 acute angles
  2. 2 acute angles, 1 right angle
  3. 2 acute angles, 1 obtuse angle

Step-by-step explanation:

We have to check under which condition a triangle will exist.

  • According to angle sum property of the triangle, the sum of all the three angles of a triangle is 180 degrees.
  • An acute angle is an angle with a a measure less than 90 degrees
  • A right angle is an angle with a measure of 90 degrees.
  • An obtuse angle is an angle with a measure of greater than 90 degrees.

1. It is possible to have triangle with three acute angle

Example: A triangle with all the three angles of 60 degrees

2. It is possible to have a triangle with 2 acute angles and 1 right angle.

Example: A triangle with all the two angles of 45 degrees and one right angle.

3. It is not possible to have a triangle with 1 acute angle, 1 right angle and 1 obtuse angle. It will violate the angle sum property of triangle.

4. It is not possible to have a triangle with 1 acute angle and 2 obtuse angles. It will violate the angle sum property of triangle.

5.  It is possible to have a triangle with 2 acute angles and 1 obtuse angle.

Example: A triangle with all the  angles of 45 degrees, 40 degrees and 95 degrees

Triangles exist:
3 acute angles2 acute angles, 1 right angle
2 acute angles, 1 obtuse angle

Triangles DON'T exist for:
1 acute angle, 1 right angle, 1 obtuse angle
1 acute angle, 2 obtuse angles


Use factoring to rewrite each expression in n equivalent from. Use the fewest number of terms possible. Show each step of your work A. 4×+8+2


B. 3×-12+6×+9

Answers

A. 4x+10

B. 9x+3

These are the answers to the questions. You just add the like terms together and BAM! You're answer. Hope this helps (:

Nikki wants to buy a dog bed that costs $87. She earns $6 per week for doing chores.

Answers

I think in this question you want to know the number of days it will take Nikki to buy the dog bed. Based on this assumption i am proceeding with the problem. There are several information's given in the problem and it is required to note them down first.
Cost of the dog bed = $87
Amount Nikki earns each day doing chores = $6
Let us assume the number of days Nikki requires to collect this amount = x
Then
6x = 87
x = 87/6
   = 14.5 days
As it cannot be 14.5 days so it should be 15 days. there will be some excess amount in the hands of Nikki. If we take 14 days then the amount collected by Nikki will be less.So it will require Nikki to work for 15 days to collect the amount needed for buying the dog bed.
Anwser : 14.6

Do this!

87 divided by 6= 14.6

the graph models the cost of cheese pizza with extra toppings at two different restaurants. According to the graph, about how many pizza toppings must be added to make the cost of the pizzas equal? A. 5 B. 10 C. 12 D. 16

Answers

The correct answer is A) 5.

This is a problem of solving two simultaneous equations and approximation. There are two functions for cost and we have to spot where they intersect. The two functions intersect at when the x variable which represents number of toppings is about 5. This value represents when customers buy cheese pizza with a total of 5 toppings.

The correct answer is A.5