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Lilit [14]
3 years ago
10

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 <em>vertical angles</em> 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.

___

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
4 0
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
                             = 12 - 4 feet
                             = 8 feet
Then
Perimeter of the yard = 2 (length + width)
                                   = 2(12 + 8)
                                   = 2 * 20 feet
                                   = 40 feet.
So the perimeter of the yard  is 40 feet.
6 0
3 years ago
Write 4^3 in standard form
VikaD [51]

Answer:

64

60+4

Step-by-step explanation:

<em>Order of Operations</em>

<em>Parenthesis</em>

<em>Exponent</em>

<em>Multiply</em>

<em>Divide</em>

<em>Add</em>

<em>Subtract</em>

<em>First, do exponent.</em>

<em>4^3=4*4*4=64</em>

<em>Standard form of 64 is: 60+4</em>

<em>64 is the correct answer.</em>

<em>60+4 is the correct answer.</em>

6 0
3 years ago
Ed counts 23 black cars, 9 red cars, 17 blue cars, 25 white cars and 21 silver cars during 20 minutes of watching. How many more
amid [387]
23 black cars
9 red cars
17 blue cars
25 white cars
21 silver cars

(white cars + blue cars) - (sliver cars + red cars)
(25 + 17) - (21 + 9)
(42) - (30)
12 more blue and white cars
7 0
3 years ago
If h(x) = (fºg)(x) and h(x) = 3(x+2)^2 find one possibility for f (x) and g(x).
JulsSmile [24]

Answer:

f(x) = 3x^2

g(x) = x + 2

Step-by-step explanation:

Given

h(x) = 3(x+2)^2

h(x) = (fog)(x)

Required

Find  f(x) and g(x)

h(x) = (fog)(x)

Rewrite h(x)

h(x) = f(g(x))

If  h(x) = 3(x+2)^2

then

f(g(x)) = 3(x+2)^2

This implies that; the expression in the brackets are equal;

In other words; function g(x) on the left hand side is equal to expression x + 2 on the right hand side

So;

g(x) = x + 2

To find f(x), substitute g(x) with x

f(x) = 3(x)^2

f(x) = 3x^2

Final solutions are

f(x) = 3x^2

g(x) = x + 2

4 0
3 years ago
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