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mars1129 [50]
3 years ago
5

Is it possible for a pair of nonadjacent angles to share vertex a and arm ab?

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
6 0

Yes: by definition, two adjacent angles have the same vertex, a side in common and don't overlap.

So, if two angles share the vertex and a side, but they overlap, they are not adjacent.

For example, consider the origin, the x and y axes, and the bisector of the first quadrant y=x

Define angle \alpha between the x axis and the bisector, and angle \beta between the x axis and the y axis. So, \alpha and \beta have the same vertex (the origin) and one side in common (the x axis), but they do overlap, and are not adjacent.

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What is the solution?
azamat

Answer: The solution is (4, -4)

4 0
3 years ago
9. Which of the following is true about the Venn diagram below?
bonufazy [111]

Answer:

(d) All of the above

Step-by-step explanation:

In order to solve this question we will have to find out which numbers are located in which group (the group of numbers are U, B, B').

So lets start of with finding out what numbers are a part of group U. By looking at that picture we can see that all number on the graph are a part of group U. So.....

U = {0,1,2,3,4,5,6,7,8,9}

Then we can find out what numbers are part of the group B. We just have to include the numbers that are located within the circle and exclude all of the numbers out side of the circle. So........

B = {0,1,4,5,6,7,8}

We find numbers that are parts of group B' by using a similar method that we used to find out what numbers were part of group B (Just this time we include all numbers outside of the circle and exclude all of the numbers inside the circle). So ......

B' = {2,3,9}

Now we see that the right option is option d.

5 0
3 years ago
Colin buys a tv for £530. It depreciates at a rate of 3% per year. How much will it be worth in 5 years? Give your answer to the
rodikova [14]

Answer: In 5 years it will be worth £455

Step-by-step explanation:

Step 1

Given

The cost of the T.V. for Colin = £530.

The rate of depreciation per year = 3%

Time/ period = 5 years

Formulae to be used

F = P  X (1 - r) ^ n

where

F = the future value after depreciation

P = the present value.

r =the interest rate per time period

n = the time/ periods

Step 2--- SOLVING

F = P  X (1- r) ^ n

F= 530 x (1-0.03) ^ 5

=530 x 0.858734

=£455.129

Rounding up to the nearest penny where appropriate = £455

3 0
3 years ago
How do I factor the equation in writing this question?
SCORPION-xisa [38]

Step-by-step explanation:

You are just replacing the 'n' with the number in the 'n box'.

So if this is the formula:

b(n) = 4 - (n \div 3)

then:

B(-3)= 4-(-3/3)

B(-3)= 4-( -1)

B(-3)= 4+1

B(-3)= 5

B(0)= 4-(0/3)

B(0)= 4-0

B(0)= 4

B(3)= 4-(3/3)

B(3)= 4-1

B(3)= 3

6 0
3 years ago
The actual volumes of soda in quart-sized bottles can be described by a Normal model with a mean of 32.3 fluid ounces and a stan
VLD [36.1K]

Answer:The percentage of bottles expected to have a volume less than 32 or is 40.13%

Step-by-step explanation: The volumes of soda in quart soda bottles can be represented by a Nomal model with a= 32.3 oz

b=1.2 oz

Let S be the volume of randomly selected soda bottles

Y-score: S-a/b

For S=32 oz

Substitute the values of S,a and b into the equation

Y=32-32.3/1.2

Y=-0.25

Probability of bottles that have a volume less than 32 oz is

P(S<32)=P(Y<-025)= 0.40129

Percentage of bottles that have volume less than 32 oz will be

0.40127×100%=40.13%

5 0
3 years ago
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