95, if g> 0?
Which expression is equivalent to
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Answer:

The correct options for the possible lengths of the third side are;

13 inches

28 inches

Step-by-step explanation:

The given lengths of two sides of the triangle are;

The length of one side of the triangle = 1 foot = 12 inches

The length of the other side of the triangle = 20 inches

The question can be solved by the triangle inequality theorem as follows;

A + B > C

B + C > A

A + C > B

Let the given sides be A = 12 inches and B = 20 inches

We have;

12 + 20 = 32 > C

Therefore, by the triangle inequality theorem, the third side, 'C', is less than 32 inches

Similarly, when C = 6 inches, we have;

A + C = 12 + 6 = 18 < B = 20

Therefore, the third side cannot be 6 inches

when C = 13 inches, we have;

A + C = 12 + 13 = 25 > B = 20

Therefore, the third side can be 13 inches

when C = 28 inches, we have;

A + C = 12 + 28 = 30 > B = 20

Therefore, the third side can be 28 inches

Based on the triangle inequality theorem, the possible lengths of the third side of the triangle are: 13 inches and 28 inches.

The Triangle Inequality Theorem

The triangle inequality theorem states that, sum of the length of any two sides of a given triangle = length of the third side.

Given the measures,

The possible third side must make the three set of numbers conform to the triangle inequality theorem.

Thus, for 13 inches, we have:

13 + 12 > 20; 12 + 20 > 13; 20 + 13 > 12

Also, for 28 inches, we have:

28 + 12 > 20; 12 + 20 > 28; 20 + 28 > 12

Therefore, based on the triangle inequality theorem, the possible lengths of the third side of the triangle are: 13 inches and 28 inches.

Learn more about triangle inequality theorem on:

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Answer:

1778 cm

Step-by-step explanation:

Answer:

I know I'm a little late, but there are 10 different ways the plate can be filled.

Step-by-step explanation:

Formula:

Answer:

A. Multiply 2/5 by 4

Step-by-step explanation:

Because when you dividend fraction

1,write the reciprocal of the second fraction number and multiply with the first fraction number

2,multiply the numerators and denominators of both fraction..

the reciprocal of 1/4 is 4/1 =4so the answer is 2/4 by4

Answer:

Step-by-step explanation:

Ghhhhhjhhbhhhhu

Answer:

C 231/100

Step-by-step explanation:

hope this helps :)

Answer:

A) y = x - 3/4

Step-by-step explanation:

The equation of the line with slope m and intercept b is

y = mx + b

Here were have slope = m = 1.

y-intercept = b = -3/4

Equation:

y = mx + b

y = 1x + (-3/4)

y = x - 3/4

Answer: A) y = x - 3/4

Answer:

50.19

Step-by-step explanation:

quick mafs hun <3

Answer:

y=2

Step-by-step explanation:

-6+7y=8

7y=8+6

7y=14

y=2

Answer:

3, 10, -2/3

Step-by-step explanation:

I don't speak spanish, so I hope i did this right.

Problem 1

set equal to each other

2x+1=x+4

-4         -4

2x-3=x

-2x     -2x

-3=-x

times -1 to get a positive x

3=x

Problem 2

repeat steps

4x-5=3x+5

+5            +5

4x=3x+10

-3x    -3x

x=10

Problem 3

repeat steps

x=4x+2

-4x  -4x

-3x=2

divide

x=- 2/3

to find the y's, go back and plug in

Prob 1: y=(3+4) =7

Prob 2: y=[3(10)+5] =35

Prob 3: y=(-2/3) =-2/3

Answer:

1.)

y = 2x + 1

y = x + 4

Substitute

2x + 1 = x + 4

Subtract 1 on both sides

2x + 1 - 1 = x + 4 - 1

2x = x + 3

Subtract x on both sides

2x - x = x - x + 3

x = 3

Now that we have x we can use that for finding y

y = x + 4

y = 3 + 4

y = 7

x = 3

y = 4

( 3, 4 )

__________________________________________________________

2.)

y = 4x - 5

y = 3x + 5

Substitute

4x - 5 = 3x + 5

Add 5 on both sides

4x - 5 + 5 = 3x + 5 + 5

4x = 3x + 10

Subtract 3x on both sides

4x - 3x = 3x - 3x + 10

x = 10

Now that we have x, we can use that to find y

y = 3x + 5

y = 3 (10) + 5

y = 30 + 5

y = 35

x = 10

y = 35

( 10, 35)

__________________________________________________________

3.)

y = x

y = 4x + 2

Substitute

x = 4x + 2

Subtract 4x on both sides

x - 4x = 4x - 4x + 2

-3x = 2

Divide -3 on both sides to isolate the variable

-3x/-3 = 2/-3

x = -2/3

Now that we have that we can use it to find y

y = x

y = -2/3

x = -2/3

y = -2/3

( -2/3, -2/3)

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

35 units

Step-by-step explanation:

Answer:

I think the answer would be n = 9/4

Answer:

startling

Step by step:

remove the l, and the word becomes: starting

remove one t, and the word becomes: staring

remove the a, and the word becomes: string

remove the r, and the word becomes: sting

remove the other t, and the word becomes: sing

remove the g, and the word becomes: sin

remove the s, and the word becomes: in

remove the n, and the word becomes: I

Answer:

29.25 Interest

Step-by-step explanation:

Take the formula: I=PRT

The principal is 650.00, 4.5 is the rate, 1 year is the time, We do not know the interest.

Change the rate, 4.5 to 0.045 to help solve the problem.

Times 650.00, 0.045, and 1 together.

You will get 29.25, Which is the answer!

Booyah! You are done.

Hope this helps!

Answer:

4.09

Step-by-step explanation:

Answer:

ANSWER:123

Step-by-step  its  very simple its puttin x+11 is how u get ur answer by adding the numbers close to that one angle

The measure of the seventh angle in the heptagon is 125 degrees.

A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

We are given the measures of six angles in the heptagon, which are:

95, 107, 132, 138, 145, and 158 degrees

Sum of angles in Heptagon is 900 degrees.

To find the measure of the seventh angle, we can subtract the sum of the six known angles from the sum of all the angles in the heptagon:

Measure of the seventh angle = Sum of angles - Sum of known angles

Measure of the seventh angle = 900 degrees - (95 + 107 + 132 + 138 + 145 + 158) degrees

Measure of the seventh angle = 900 degrees - 775 degrees

Measure of the seventh angle = 125 degrees

Therefore, the measure of the seventh angle in the heptagon is 125 degrees.

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#SPJ2

Answer:

100

Step-by-step explanation:

Answer:

128 square inches

Step-by-step explanation:

Window one's area is 31 times 32 which is 992 in^2

Window two's area is 27 times 32 which is 864 in^2

Subtract 992 from 864 to get the difference

Answer:

The answer is: Find the slopes of AB and AC. If the product of the slopes is -1, then the sides meet in a right angle.

Step-by-step explanation:

From Analytical Geometry, two lines are perpendicular to each other if and only if [tex]m_{1}\cdot m_{2} = -1[/tex], where [tex]m_{1}[/tex] and [tex]m_{2}[/tex] are the slopes of each line, respectively. According to this, the following expression must be observed:

[tex]m_{AB} \cdot m_{BC} = -1[/tex] (1)

Each slope can be determine by definition of the slope of a Secant Line:

[tex]m_{AB} = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)

[tex]m_{BC} = \frac{y_{C}-y_{B}}{x_{C}-x_{B}}[/tex] (3)

Where:

[tex]x_{A}[/tex], [tex]x_{B}[/tex], [tex]x_{C}[/tex] - x-Coordinates of points A, B and C.

[tex]y_{A}[/tex], [tex]y_{B}[/tex], [tex]y_{C}[/tex] - y-Coordinates of points A, B and C.

If we know that [tex]x_{A} = 0[/tex], [tex]y_{A} = 0[/tex], [tex]x_{B} = 50[/tex], [tex]y_{B} = 0[/tex], [tex]x_{C} = 18[/tex] and [tex]y_{C} = 24[/tex], then the relationship between slopes is:

[tex]m_{AB} = \frac{0-0}{50-0}[/tex]

[tex]m_{AB} = 0[/tex]

[tex]m_{BC} = \frac{24-0}{18-50}[/tex]

[tex]m_{BC} = -\frac{3}{4}[/tex]

[tex]m_{AB}\cdot m_{BC} = 0\cdot \left(-\frac{3}{4} \right)[/tex]

[tex]m_{AB}\cdot m_{BC} = 0[/tex]

Which means that both line segments are not perpendicular to each other.

In a nutshell, we need to find the slopes of AB and CB, if the product between both slopes is -1. Then, the sides meet in a right angle.

Answer: 3 inches

Step-by-step explanation: Divide the actual length, 9 feet by 3, since that is the scale. then convert to inches

9/3 =3  

Answer:

C

Step-by-step explanation:

hope it helps thank you

Answer:

-2.3d+3.4h-13

Step-by-step explanation:

Answer:

this is the answer -2.3d+3.4h-13

Step-by-step explanation:

I hope u got it right Have a good day

Answer:108

Step-by-step explanation:

12+12+42+42

Answer:

B

Step-by-step explanation:

Answer: 72

Step-by-step explanation:

From the question, we are informed that Mary Beth needs a 90% on her final exam to get an A for the quarter and that the exam has 80 questions.

The number of questions does that Mary need to answer correctly in order for her to get an A would be 90% of 80. This will be:

= 90% × 80

= 90/100 × 80

= 72

She must get 72 to get a A.