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3 years ago

Can someone tell me how to solve this?

Mathematics

1 answer:

liberstina [14]3 years ago

4 0

These two angles are equivalent because they're corresponding angles created by two parallel lines.

Since they're equivalent, we can set them equal to each other.

23x - 5 = 21x + 5

Now solve for x

23x - 5 = 21x + 5

Add 5 to both sides

23x = 21x + 10

Subtract 21x from both sides

2x = 10

Divide both sides by 2

x = 5

Now, plug in 5 as "x" in one of the equations

Angle 1 = (23*5) - 5

= 115 - 5

= 110 degrees

Since they're equivalent, Angle 2 should also be 110 degrees, but let's check in case.

Angle 2 = (21*5) + 5

= 105 + 5

= 110 degrees

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You have a land-line telephone that costs $25.95/month plus a utilities tax of 4.5%. How much will you pay for your telephone us

dalvyx [7]

Answer

C) 325.41

Step by step explanation

The land-line telephone costs =$25.95

Utilities tax percentage = 4.5% = 4.5/100 = 0.045

Utility tax for amount $25.95 = 25.95*0.045

Utility tax = $1.17

The amount of telephone bill with tax = $25.95 + $1.17

= $27.12

There are 12 months in a year.

Telephone bill for a year = $27.12 * 12

= $325.44

Therefore, the nearest amount $325.41

You need to pay $325.41 as telephone bill for a year.

Thank you.

5 0

3 years ago

Read 2 more answers

Factor x^2-2x-4 PLEASE ANSWER QUICKLY!!! I WILL GIVE POINTS!!! DBA IS TODAY!!!!

Thepotemich [5.8K]

To factor x²-2x-4, you are looking to answer three questions.

1) What pair of numbers multiplies to 4?

2) What pair of numbers multiplies to 1?

3) Do these pairs when multiplied together, add/subtract to the middle term?

To answer (1), our pairs are 2 and 2, 4 and 1. Since there's a negative with 4 at the end (from question one), the signs will be opposite.

To answer (2), only pair multiplies to 1 - 1 and 1. Let's try both pairs from 1.

(x-4)(x+1) The middle term here is -3x. Nope.

(x-1)(x+4). The middle term here is 3x. Nope.

(x-2)(x+2) The middle term is 0x (or no middle term). Nope.

So x²-2x-4 does not factor.

4 0

3 years ago

Each question in the test was worth an equal number of points. Chris answered 6 questions incorrectly. How many questions did th

Art [367]

Using mathematical operations and ratios, the number of questions that the other kids answered incorrectly was <u>1 each</u>.

<h3>What are the mathematical operations?</h3>

The mathematical operations include these four basic operations - addition, subtraction, multiplication, and division.

These mathematical operations and ratios, which set one value equal to another, are used to solve mathematical problems.

<h3>Data and Calculations:</h3>

The number of questions = 20

Marks awarded to each question = 3 points

Average incorrect answers by Chris = 6

Average performance = 50%

Above average performance = 90%

Incorrect answers by other students = 10% (1 - 90%)

<h3>Incorrect performance ratios:</h3>

Chris = 50%

Four students = 10%

= 5 : 1

Chris' ratio = 5/6

Four students = 1/6

The number of questions that the four other students answered incorrectly was <u>1 question</u> (6/50% x 10%) or (6 x 1/6).

Thus, the other kids answered <u>1 question</u> each incorrectly.

Learn more about mathematical operations and ratios at brainly.com/question/12024093

#SPJ1

<h3>Question Completion:</h3>

A test has 20 questions. The test awards 3 points if the answer is correct and takes away 1 point if the answer is incorrect. Five students took the test, but four of the five students perform above average (90%). Chris, an average student (50%), answered 6 questions incorrectly. How many questions did the other kids answer incorrectly?

4 0

2 years ago

Hgunginwn v snvsdngsnanfanvsnsnshnsknbsjnjspejgnjdbhkjdkjf<br><br><br><br> whats sleep

Rasek [7]

Answer:

Step-by-step explanation:

when you lay down and close your eyes

7 0

3 years ago

Read 2 more answers

Help T-T plz (14 points)

olganol [36]

Answer:

The answer is 10.5 or 10 1/2

Step-by-step explanation:

1) A=LxW

2) the height is given but you do not have the width So Divide.

3) first turn the fraction into decimals

H= 12 1/4= 12.25

A= 128 5/8= 128.625

4) 128.625 divided by 12.25 Give you 10.5

5) you can change 10.5 into a fraction 10 1/2

hopes this helps.

8 0

3 years ago