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olga_2 [115]
2 years ago
13

Find the value of x so that L is parallel to M. State the converse used!

Mathematics
1 answer:
galben [10]2 years ago
3 0

Answer:

<h3>6 degrees</h3>

Step-by-step explanation

Find the diagram attached. In Line geometry, there is a theorem that states that the sum of the adjacent interior angles is 180 degrees. According to the diagram, the adjacent interior angles are 7x- 15 and 24x + 9.

The sum of this angles must give 180 degrees as shown;

7x-15 + 24x + 9 = 180

7x+24x-15+9 = 180

31x-6 = 180

31x = 180+6

31x = 186

x = 186/31

x = 6

Hence the value of x is 6 degrees

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Mr. Adam, the owner of two car dealerships in Richie, is holding a contest to see which dealership can sell the most cars.
Ierofanga [76]

Answer:

Step-by-step explanation:

no

5 0
3 years ago
Find the distance between the two numbers on a number line. Write your answer as a mixed number.
solong [7]

Answer:

We conclude that the distance between the two numbers on a number line will be: 322

Step-by-step explanation:

Given the numbers

-212

-534

There can be a lot of ways to determine the distance between the two numbers on a number line like counting every number between them.

But, we can use a more efficient method in terms of determining the distance by taking the absolute value of the difference between those numbers.

so

Distance between the numbers:

\left|-212-\left(-534\right)\right|

Apply rule: -(-a) = a

=\left|-212+534\right|

=\left|322\right|

Apply absolute rule:   \left|a\right|=a,\:a\ge 0

=322

Therefore, we conclude that the distance between the two numbers on a number line will be: 322

4 0
2 years ago
2/4 is more than 1/4?
Mazyrski [523]

Answer:

Yes!

Step-by-step explanation:

Yes, because 2>1.

4 0
3 years ago
Read 2 more answers
Twelve out of 18 students in Mrs. Marlin's class buys pizza for lunch on Fridays.at this rate,if there are 240 students in the e
Studentka2010 [4]
First, divide 240 by 18 to find how many times 18 goes into 240

240/18=14 (rounded up from the original 13.3 repeating decimal because it has to do with people and you cant have a partial human and there is more than .0 there)

then multiply the number of people who do get pizza by that number

12*14=168
8 0
3 years ago
Solve 2x2 – 6x + 10 = 0 by completing the square.
astraxan [27]

Answer: x = 6.32 or -0.32

Step-by-step explanation:

2x² - 6x + 10  = 0

No we divide the expression by 2 to make the coefficient of x² equals 1

We now have

x² - 3x + 5     = 0

Now we remove 5 to the other side of the equation

x² - 3x          = -5

we add to both side square of  half the coefficient of x which is 3

x² - 3x + ( ⁻³/₂)²  = -5 + (⁻³/₂)²

(x  -  ³/₂)²           = -5 + ⁹/₄

Resolve into fraction

(x  - ³/₂)²             = ⁻¹¹/4

Take the roots of the equation

 x - ³/₂               = √¹¹/₄

 x - ³/₂               = √11/₂

x                       = ³/₂ ± 3.32/₂

                         = 3+ 3.32 or 3 - 3.32

                         =  6.32 or - 0.32

4 0
3 years ago
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