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gavmur [86]
3 years ago
14

Which pairs of angles in the figure below are vertical angles?

Mathematics
1 answer:
ch4aika [34]3 years ago
6 0

Answer: Option A and Option C.

Step-by-step explanation:

For this exercise it is important to know the definition of "Vertical Angles".

When two lines intersect or cross, there are a pair of angles that share the same vertex and they are opposite each other. This pair of angles are known as "Vertical angles".

By definition, Vertical angles are congruent, which means that the have the equal measure.

In this case, you can observe in the picture provided in the exercise that the line TI and the line WN intersect each other at the point S.

You can identify that the pair of angles that are opposite to each other and share the same vertex are the shown below:

\angle ISN  and \angle TSW

\angle TSN and \angle ISW

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2 x 2 x 2 x 3

Because you are multiplying two, four times

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3 years ago
Christopher mixes the letters S, E, L, E, C, T, E, and D thoroughly. Without looking, Allen draws one letter. Expressed as a fra
lawyer [7]
Im pritty sure it would be 30%

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4 years ago
Read 2 more answers
In 2000, the population of Big Springs was 13 thousand. Use the given doubling
trasher [3.6K]

Answer:

The answer is "26179.4".

Step-by-step explanation:

Assume year 2000 as t, that is  t =0.

Formula:

A= A_0e^{rt}

Where,

A_0 = \ initial \ pop \\\\r= \ rate \ in \ decimal \\\\t= \ time \ in \ year

for doubling time,

r = \frac{log (2)}{t} \\

r = \frac{\log (2)}{ 40} \\\\r= \frac{0.301}{40}\\\\r= 0.007

Given value:

A = A_0e^{rt} \\\\

A_0 = 13000

t= 40 \ years

when year is 2000, t=0 so, year is 2100 year as t = 100.

A = 13000 \times e^{et}\\\\A = 13000 \times e^{e \times t}\\\\A = 13000 \times e^{0.007 \times 100}\\\\A = 13000 \times e^{0.7}\\\\A= 13000\times 2.0138\\\\A = 26179.4

7 0
3 years ago
A local amusement park charges $21.50 per daily adult ticket and $14.75 per daily child's ticket. A group of 12 people paid $204
grandymaker [24]

Answer:

x+y=12

21.50x+14.75y=204

Step-by-step explanation:

Let x be the number of adult tickets and y be the number of children's tickets.

We are given that there are total 12 people. Therefore, we can set:

x+y=12

Moreover, we are given that an adult ticket costs $21.50 and a child's ticket costs $14.75, therefore, cost of x adult tickets will be 21.50x and cost of y children's ticket will be 14.75y. We can form the second equation by setting the total cost of tickets as:

21.50x+14.75y=204

Therefore, the required system of equations that could be used to find x and y will be:

x+y=12

21.50x+14.75y=204

6 0
3 years ago
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Find the base of y = b^x that contains the point (3/2, 27)
Leona [35]

Answer:

  • D) b = 9

Step-by-step explanation:

<u>Given function:</u>

  • y = b^x

The graph of it should contain the point (3/2, 27)

<u>Substitute the values and verify answer choices:</u>

A) b= 3/2

  • 27 = (3/2)^(3/2), False as the right side is irrational

B) b= 27

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C) b= x/y

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D) b= 9

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  • 27 = (3^2)^(3/2)
  • 27 = 3^(2*3/2)
  • 27 = 3^3
  • 27 = 27
8 0
2 years ago
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