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gavmur [86]
2 years ago
14

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

Mathematics
1 answer:
ch4aika [34]2 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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A 6 ft board is cut into two pieces, on twice as long as the other. How long are the pieces?
disa [49]

Answer:One is 2 feet and one is 4 feet

Step-by-step explanation:

8 0
2 years ago
On a coordinate plane, polygon GHIJ translates 8 units to the left to form polygon G'H'I'J'. Which of the following equations is
lana66690 [7]
A. True. This is because distances are preserved and kept the same. 

B. True. Moving any point to it's corresponding image is having you travel 8 units.

C. True. Corresponding angles are congruent. 

D. False. This is not always true so in general it's false. 

The final answer is choice D
7 0
2 years ago
Using synthetic division, what is the factored form of this polynomial?x^4+6x^3+33x^2+150x+200
ioda

x^4 + 6x^3 + 33x^2 + 150x + 200

x^4 + 2x^3 + 4x^3 + 8x^2 + 25x^2 + 50x + 100x + 200

x^3 x (x + 2) + 4x^2 x (x + 2) + 25x x (x+2) + 100 (x + 2)

(x + 2) x (x^3 + 4x^2 + 25x + 100)

(x + 2) x (x^2 x (x + 4) + 25 (x + 4))

solution : (x + 2) x (x + 4) x (x^2 + 25)

4 0
2 years ago
Read 2 more answers
Jaxson and his children went into a movie theater and he bought $42.50 worth of drinks and candies. Each drink costs $6 and each
sattari [20]

Answer:

6x + 3.25y = 42.50

x + y = 8

Step-by-step explanation:

x is the amount of drinks, and y represents the amount of candies that are bought. The first equation is used to figure out the amount of candies and drinks needed to be bought to add up to 42.50, and the second equation is used to make sure that the quantity of drinks and candies add up to 8.

4 0
2 years ago
The top of a ladder is 4m up a vertical wall.The bottom is 2m from the wall.The coordinate axes are the wall and the horizontal
mash [69]

Answer:

Part a) y=-2x+4

Part b) The coordinates of the point are (\frac{4}{3},\frac{4}{3})

Step-by-step explanation:

Part a) Find the equation representing the ladder

we have the ordered pairs

(0,4) and (2,0)

Find the slope

m=(0-4)/(2-0)=-2

Find the equation of the line in slope intercept form

y=mx+b

we have

m=-2\\b=4

substitute

y=-2x+4

Part b) A square box just fits under the ladder.Find the coordinates of the point where the box touches the ladder.

If the box is a square

the x-coordinate of the point where the box touches the ladder must be equal to the y-coordinate

x=y

y=-2x+4

substitute

x=-2x+4\\3x=4\\x=\frac{4}{3}

y=x=\frac{4}{3}

therefore

The coordinates of the point are (\frac{4}{3},\frac{4}{3})

6 0
2 years ago
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