Statement 1: A closed figure is a regular octagon if and only if it has exactly 8 congruent sides.

What is -3(6x+4)+20x

Leona [35]

Answer:

2x - 12

Step-by-step explanation:

Given:

-3(6x+4)+20x

Distribute:

-18x-12+20x

Combine like terms:

2x-12

Hope this helps, have a nice day :))

3 0

2 years ago

Read 2 more answers

3. Janet is flying a kite on a string that is 75m long. The kite is 62m above the ground. Estimate the distance between Janet an

konstantin123 [22]

Answer: a) It will be a right triangle with a hypotenuse of 75 and a vertical leg that is 62.
b) The length of the kite string is 75 (given in the problem). However, I believe you are looking for the distance from the spot on the ground beneath the kite to Janet. That is about 42.2 m.

To find the missing distance in the right triangle. You have to use the Pythagorean Theorem. I set it up and solve it below.

a^2 + b^2 = c^2
x^2 + 62^2 = 75^2
x^2 + 3844 = 5625
x^2 = 1781
x = 42.2 (about)

3 0

2 years ago

56,927.34 in expanded form

DanielleElmas [232]

Answer:

Step-by-step explanation:

Standard Form:

56,927.34

Expanded forms can be written like a sentence or stacked for readability as they are here.

Expanded Notation Form:

50,000

+6,000

+900

+20

+7

+0.3

+0.04

Expanded Factors Form:

5 ×10,000

+ 6 ×1,000

+ 9 ×100

+ 2 × 0

+ 7 ×1

+ 3 ×0.1

+ 4 ×0.01

Expanded Exponential Form:

5 × 104

+ 6 × 103

+ 9 × 102

+ 2 × 101

+ 7 × 100

+ 3 × 10-1

+ 4 × 10-2

5 0

3 years ago

Read 2 more answers

B is the midpoint of A . If AB = x+5 and BC =2x-11, find the measure of AB

nignag [31]

If B is the midpoint of AC, then AB = BC.

We have AB = x + 5 and BC = 2x - 11.

Therefore we have the equation:

x + 5 = 2x - 11 subtract 5 from both sides

x = 2x - 16 subtract 2x from both sides

-x = -16 change the signs

x = 16

Put the value of x to the expression x + 5:

AB = 16 + 5 = 21

<h3>Answer: AB = 21</h3>

6 0

2 years ago

The pep club and honor society are joining forces to raise money for school improvements.

Fittoniya [83]

Answer:

Part a) The graph in the attached figure

Part b) see the explanation

Part c) see the explanation

Step-by-step explanation:

Let

x ----> represent pep club donations

y ---> represent donations raised by the honor society

we have

$x+y\geq 500$ ----> inequality A

The solution of the inequality A is the shaded area above the solid line $x+y=500$

$x\geq 100$ ----> inequality B

The solution of the inequality B is the shaded area at right of the solid line $x=100$

Part a) Graph the system of inequalities

using a graphing tool

The solution of the system of inequalities is the shaded area

Remember that the variables x and y cannot be a negative number

see the attached figure

Part b) What does the point (300,100) represent? Is it a viable solution?

The point (300,100) means that the donations raised for pep club was $300 and the donations raised by the honor society was $100

The point (300,100) is not a viable solution, because the point not belong to the shaded area of the solution of the system of inequalities

Verify

If the ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality

For x=300, y=100

Inequality A

$300+100\geq 500$

$400\geq 500$ ----> is not true

The ordered pair not satisfy the inequality A

therefore

The point (300,100) is not a viable solution

Part c) What does the point (500,200) represent? Is it a viable solution?

The point (500,200) means that the donations raised for pep club was $500 and the donations raised by the honor society was $200

The point (500,200) is a viable solution, because the point belong to the shaded area of the solution of the system of inequalities

Verify

If the ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality

For x=500, y=200

Inequality A

$500+200\geq 500$

$700\geq 500$ ----> is true

The ordered pair satisfy the inequality A

Inequality B

$500\geq 100$ ---> is true

The ordered pair satisfy the inequality B

therefore

The point (500,200) is a viable solution

3 0

3 years ago