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My name is Ann [436]
4 years ago
8

The figure shows two intersecting lines and measures of the resulting angles write an equation to help you solve for x , then fi

ne the value of x.

Mathematics
1 answer:
ehidna [41]4 years ago
6 0

<u>Given</u>:

Given that two lines are intersecting at the point.

The angles (3x - 8)° and (2x + 12)° are the angles formed by the intersection of the two lines.

We need to determine the equation to solve for x and the value of x.

<u>Equation:</u>

The two angles (3x - 8)° and (2x + 12)° are vertically opposite. Hence, the vertically opposite angles are always equal.

Hence, we have;

3x-8=2x+12

Hence, the equation is 3x-8=2x+12

<u>Value of x:</u>

The value of x can be determined by solving the equation 3x-8=2x+12

Thus, we have;

3x-8=2x+12

Subtracting both sides of the equation by 2x, we get;

x-8=12

Adding both sides of the equation by 8, we get;

x=20

Thus, the value of x is 20.

Hence, the equation and the value of x are 3 x-8=2 x+12 \ and\  x=20

Thus, Option D is the correct answer.

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Which is the rationalized form of the expression. A, B , C, or D?
grin007 [14]

Answer:

C

Step-by-step explanation:

Multiply the top and bottom, both by sqrtx-sqrt5. This is in order to rationalize the denominators.

You get answer C.

3 0
3 years ago
4. Solve the following equation:<br> is<br> 2x + 10 =17
klasskru [66]
X=7/2 which is equal to 3.5
7 0
4 years ago
I dont know number 1 please help
amm1812
The answer is C to this question

5 0
4 years ago
Read 2 more answers
What is the greater faction than 11/20
Mila [183]

Answer:

Are you looking to calculate whether 2/10 is greater than 11/20? One of the most common calculations you'll make in math is to compare fractions. In this really simple guide, we'll teach you how to compare and determine if 2/10 is bigger than 11/20 and walk you through the step-by-process of how the calculation is made.

As we always do in these tutorials, let's recap and remind ourselves that the number above the fraction line is called the numerator and the number below the fraction line is called the denominator.

Depending on the math problem you want to solve, there are two methods to calculate if 2/10 is larger than 11/20:

Convert the fractions to have the same denominator

Convert the fractions to a decimal number

Let's start with the first method: converting the fractions to the same denominator. First, we'll set up 2/10 and 11/20 side by side so they are easier to see:

Converting Denominator

2

10

&

11

20

Our denominators are 10 and 20. What we need to do is find the lowest common denominator of the two numbers. This is the smallest number that can be divided by both 10 and 20. In this case, the lowest common denominator is 20.

If we multiply the first denominator (10) by 2 we will get 20. If we multiply the second denominator (20) by 1 we will also get 20. We also need to multiply the numerators above the line by the same amounts so that the fraction values are correct:

2 x 2

10 x 2

11 x 1

20 x 1

This is what 2/10 and 11/20 looks like with the same denominator:

4

20

&

11

20

Now that these fractions have been converted to have the same denominator, we can clearly see by looking at the numerators that 4 is NOT greater than 11 which also means that 2/10 is NOT greater than 11/20.

Converting to Decimal

You can also compare these fractions by first converting them to decimal format. This is a lot faster than working out the lowest common denominator. All we do here is divide the numerator by the denominator for each fraction:

2/10 = 0.2

11/20 = 0.55

Now that these fractions have been converted to decimal format, we can compare the numbers to get our answer. 0.2 is NOT greater than 0.55 which also means that 2/10 is NOT greater than 11/20.

Hopefully this tutorial has helped you to understand how to compare fractions and you can use your new found skills to compare whether one fraction is greater than another or not!

© 1999-2021 VisualFractions.com. All Rights Reserved.

4 0
3 years ago
A bag contains 9 marbles: 4 are green, 3 are red, and 2 are blue. Deshaun chooses a marble at random, and without putting it bac
nexus9112 [7]

Step-by-step explanation:

Total marbles = 9 + 4 + 3 + 2 = 18

Probability of both red marbles = 3 / 18 = 1/6

4 0
3 years ago
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