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3 years ago

2. Two angles have a common vertex but no common side. How can you tell whether the angles are vertical angles?

Mathematics

1 answer:

Maksim231197 [3]3 years ago

7 0

Explanation:

The angles are vertical angles if the opposites of the rays forming one of the angles are the rays forming the other angle.

More formally, if V is the common vertex, and ...

R is a point on one of the rays forming Angle 1
S is a point on the ray that is the opposite of ray VR
T is a point on the other ray forming Angle 1
U is a point on the ray that is the opposite of ray VT

Then angle RVT and angle SVU are vertical angles.

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Another way to say this is that points R, V, S are collinear, as are points T, V, U, and the two angles of interest are RVT and SVU.

If the above conditions cannot be met, then the angles are not vertical angles.

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Which linear inequality is represented by the graph?

kompoz [17]

The answer is D since is the only one that has the correct y intercept

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3 years ago

A rectangular yard has area 96 square feet. If the width of the yard is 4 ft less than length, what is the perimeter,in feet, of

marusya05 [52]

Area of the rectangular yard = 96 square feet
Let us assume the length of the yard = x feet
Width of the yard = x - 4 feet
Then
Area of the yard = length * width
96 = x(x - 4)
96 = x^2 - 4x
x^2 - 4x - 96 = 0
x^2 - 12x + 8x - 96 = 0
x(x - 12) +8(x - 12) = 0
(x - 12)(x + 8) = 0
As the value of length cannot be negative so
x - 12 = 0
x = 12
So
Length of the yard = 12 feet
Width of the yard = x - 4 feet
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   = 8 feet
Then
Perimeter of the yard = 2 (length + width)
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3 years ago

Write 4^3 in standard form

VikaD [51]

Answer:

$64$

60+4

Step-by-step explanation:

Order of Operations

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

First, do exponent.

$4^3=4*4*4=64$

Standard form of 64 is: 60+4

64 is the correct answer.

60+4 is the correct answer.

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3 years ago

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9 red cars
17 blue cars
25 white cars
21 silver cars

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(25 + 17) - (21 + 9)
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JulsSmile [24]

Answer:

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