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3 years ago

Use the diagram to complete the table by matching the Theorem with the angle relationship.

Mathematics

1 answer:

serious [3.7K]3 years ago

6 0

Answer:

The Table with Correct reasons are as follows.

Step-by-step explanation:

The Table with Correct reasons are as follows

Answer Angle Relationship

c. Corresponding Angles ∠ 1 ≅ ∠ 5

d. Same Side Interior ∠ 4 + ∠ 5 = 180

a. Alternate Exterior Angles ∠ 3 ≅ ∠ 6

b. Alternate Interior Angles ∠ 4 ≅ ∠ 5

c. Corresponding Angles ∠ 2 ≅ ∠ 6

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PLEASEEEEEEEEEEEEEEEEEE URGENT

jeyben [28]

Option C:

f(x) = 5x + 7 is the function of the input-output table.

Solution:

Option A: f(x) = 6x + 9

Input x = 1 in the above equation.

f(1) = 6(1) + 9

= 6 + 9

f(1) = 15

But the output is 12 in the table.

So, it is not the function of the table.

Option B: f(x) = 7x + 5

Input x = 1 in the above equation.

f(1) = 7(1) + 5

f(1) = 12

Input x = 5 in the above equation.

f(5) = 7(5) + 5

f(5) = 40

But the output is 32 in the table.

So, it is not the function of the table.

Option C: f(x) = 5x + 7

Input x = 1 in the above equation.

f(1) = 5(1) + 7

f(1) = 12

Input x = 5 in the above equation.

f(5) = 5(5) + 7

f(5) = 32

Input x = 10 in the above equation.

f(10) = 5(10) + 7

f(10) = 57

Input x = 5 in the above equation.

f(15) = 5(15) + 7

f(15) = 82

All outputs are correct for the given input.

Hence it is the function of the table.

Option D: f(x) = 12x + 1

Input x = 1 in the above equation.

f(1) = 12(1) + 1

f(1) = 12

Input x = 5 in the above equation.

f(5) = 12(5) + 1

f(5) = 61

But the output is 32 in the table.

So, it is not the function of the table.

Hence Option C is the correct answer.

f(x) = 5x + 7 is the function of the input-output table.

4 0

3 years ago

X-70/x<-3 solve for x under the assumption that x>0

Virty [35]

<span>Simplifying 0x + 7 + 5x = 2x + 30 + 40 Anything times zero is zero. 0x + 7 + 5x = 2x + 30 + 40 Combine like terms: 0 + 7 = 7 7 + 5x = 2x + 30 + 40 Reorder the terms: 7 + 5x = 30 + 40 + 2x Combine like terms: 30 + 40 = 70 7 + 5x = 70 + 2x Solving 7 + 5x = 70 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + 5x + -2x = 70 + 2x + -2x Combine like terms: 5x + -2x = 3x 7 + 3x = 70 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 3x = 70 + 0 7 + 3x = 70 Add '-7' to each side of the equation. 7 + -7 + 3x = 70 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 70 + -7 3x = 70 + -7 Combine like terms: 70 + -7 = 63 3x = 63 Divide each side by '3'. x = 21 Simplifying x = 21</span>

4 0

3 years ago

A quick quiz consists of a multiple-choice question with 4 possible answers followed by a multiple-choice question with 3 possib

olga55 [171]

Answer:

0.0825

Step-by-step explanation:

1/4x1/3=0.0825

7 0

3 years ago

Stephen makes wooden shelves for his room he starts with a board that is 20 feet long.Stephen wants to make the shelves 3/4 foot

jek_recluse [69]

The number of shelves stephen can make is approximately 27

<h3><u>Solution:</u></h3>

Given that Stephen makes wooden shelves for his room

Stephen wants to make the shelves 3/4 foot long

He starts with a board that is 20 feet long

To find: number of shelves he can make

So the number of shelves stephen can make can make is found out by dividing 20 feet long board by 3/4 foot long

$\text {number of shelves }=\frac{\text { total length of board stephen has }}{\text { length of each board }}$

$\text {number of shelves }=\frac{20}{3 / 4}=\frac{20}{0.75}=26.6$

So the number of shelves stephen can make is approximately 27

3 0

3 years ago

What is the ratio for 12:75

adoni [48]

It would be: 12/75 = 4/25

So, your answer is 4/25

6 0

3 years ago