1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Evgesh-ka [11]
3 years ago
12

Find the measure of angel 3

Mathematics
1 answer:
Elena-2011 [213]3 years ago
8 0

Answer:

100

Step-by-step explanation:

Remark

If two opposite arcs are given by being opposite vertically opposite angles, then the value of both the vertically opposite angles are equal to

Vertically opposite angle = 1/2 (arc1 + arc2)

Givens

Arc1 = 60

Arc2 = 100

Solution

The red dot angle = 1/2 (60 + 100)

The red dot angle = 1/2(160)

The red dot angle = 80

Because the red dot angle and <3 are on the same line with the same common point, they are supplementary.

<3 and red dot = 180

<3 + 80 = 180                          Subtract 80 from both sides

<3 = 180 - 80

<3 = 100

You might be interested in
Draw one card at random from a standard deck of cards. the sample space s is the collection of the 52 cards. assume that the pro
nikklg [1K]
The probability is a ratio of the possible events to the total events. The total is 52 cards, so the denominator is 52. The individual properties of the specific cards are the following:

Any face or number cards is 4/52, because there are 4 cards for each symbol. On the other hand, each symbol like heart, diamond, club or spade would each have a probability of 13/52 (counting numbers 2 to 10, Ace card, and the 3 face cards). Also, there are 26 each of red and black cards. Furthermore, the words 'or' and 'and' are hint words. When you see 'or', you have to add their individual probabilities. If you see the word 'and', you'll have to multiply them. With that said, the solution is as follows:

a.) P = 4/52 + 4/52 + 4/52 = 3/13
b.) P = (13/52 + 13/52 + 4/52)(26/52) = 15/52
c.) P = 13/52
d.) P = 13/52 + 13/52 + 13/52 = 3/4
6 0
3 years ago
Provide an appropriate response.
aivan3 [116]
I think B i am not 100 sure
5 0
2 years ago
the population of a small city grows by 600 every year. If there were 900 people initially, find the population of the city 60 y
soldier1979 [14.2K]

Answer:

36900

Step-by-step explanation:

It's a linear function with equation P(t)=900+600*t. P(60)=900+600*60=36900

8 0
3 years ago
A map of a new dog park shows that it is triangular and that the sides measure 18.5m, 36.9m, and 16.9m. Are the dimensions corre
r-ruslan [8.4K]
In order to check whether the length of the sides are applicable to form a triangle is that we have to make sure that the sum of the length of two side should be greater than the third side.

<span>18.5 m, 36.9 m, and 16.9 m
18.5 m < </span><span>36.9 m +16.9 m
</span>36.9 m < 18.5<span> m +16.9 m
</span>16.9 m < 18.5 m + <span>36.9 </span>m

So the dimensions are correct!
5 0
3 years ago
How do you simplify Radicals?<br>√180v^4​
julsineya [31]

Here are the steps required for Simplifying Radicals:

Step 1: Find the prime factorization of the number inside the radical. Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Also factor any variables inside the radical.

Step 2: Determine the index of the radical. The index tells you how many of a kind you need to put together to be able to move that number or variable from inside the radical to outside the radical. For example, if the index is 2 (a square root), then you need two of a kind to move from inside the radical to outside the radical. If the index is 3 (a cube root), then you need three of a kind to move from inside the radical to outside the radical.

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. If there are nor enough numbers or variables to make a group of two, three, or whatever is needed, then leave those numbers or variables inside the radical. Notice that each group of numbers or variables gets written once when they move outside the radical because they are now one group.

Step 4: Simplify the expressions both inside and outside the radical by multiplying. Multiply all numbers and variables inside the radical together. Multiply all numbers and variables outside the radical together.

Shorter version:

Step 1: Find the prime factorization of the number inside the radical.  

Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.  

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.  

Step 4: Simplify the expressions both inside and outside the radical by multiplying.

7 0
3 years ago
Other questions:
  • Is 45 minus equivant to 750 seconds
    10·1 answer
  • Billy is playing in his sandbox. He enjoys burying his toys in the sand. He has 3
    8·1 answer
  • Hannah is making bags of. trail mix for hiking club she will use 21 ounces of walnuts 11.1 ounces of almonds and 13.4 ounces of
    10·1 answer
  • BRAINLEIST ANSWER TO WHOEVER GIVES ME CORRECT ANSWER FIRST
    6·1 answer
  • What is the value of “y” in y = -3x if the value of ‘x’ is 2?
    5·1 answer
  • Please help due soon
    7·1 answer
  • What number is a multiple of 4 and 6 but also a multiple of 3 and 5?
    9·2 answers
  • If f(x) =- 2x + 5, find f(4x)​
    8·1 answer
  • Help! How do I fill out the box at the top of the page? This isn't making sense (I'm in 7th)
    8·1 answer
  • Question 3(Multiple Choice Worth 2 points)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!