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3 years ago

Find the value of x

Mathematics

1 answer:

den301095 [7]3 years ago

5 0

x = 20 is the answer.

<u>Step-by-step explanation:</u>

When a parallel lines cut by a transversal, then the alternate exterior angles are congruent.

So the given 2 angles add up to 180 degrees.

5x+ 9 + 3x+ 11 = 180

8x + 20 = 180

8x = 180 - 20 = 160

x = 160/8 = 20

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klio [65]

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Approximately 4,000 times

Step-by-step explanation:

If you're flipping a coin to get 4 heads out of 10 and you times it by 10,000 then you would have a probable win rate of 4,000.

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3 years ago

What’s 50 1/3+ 50 1/3?

slega [8]

Answer:

100 2/3

Step-by-step explanation:

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100+2/3= 100 2/3

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3 years ago

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The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.

zzz [600]

Hello,

$u_{1} =-5\\
 u_{2} =-5+d\\
 u_{3} =-5+2d\\
 u_{4} =-5+3d\\
...\\
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==\ \textgreater \ 9d=18 \\
==\ \textgreater \ d=2

$

6 0

3 years ago

Pls help many thanks

salantis [7]

So, let's make these two values improper fractions so they're easier to work with. $4+\frac{1}{3}=\frac{12}{3}+\frac{1}{3}=\frac{13}{3} 3+\frac{1}{2}=\frac{6}{2}+\frac{1}{2}=\frac{7}{2}$

So, to get the rate he grew in those months we have:

$\frac{\frac{13}{3} \text{inches}}{\frac{7}{2}\text{months}} =\frac{26\text{inches}}{21\text{months}}$

And to get the rate he grew in one month we have to divide both our numerator and our denominator by 21 to get:

$\frac{\frac{26}{21} \text{inches}}{\text{month}}\approx \frac{1.24\text{inches}}{\text{month}}$ aka he grew 1.24 inches in a month.

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3 years ago

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A rug is shaped like a parallelogram with a base of 41⁄2 ft. and a height of 2 1⁄4 ft. What is the area of the rug? Draw and lab

Bess [88]

Answer:

46.125 square feet or $46\dfrac{1}{8}$ sq. feet.

Step-by-step explanation:

The rug is shaped like a parallelogram with a base of $\frac{41}{2} = 20.5$ feet. and a height of $2\dfrac{1}{4} = 2.25$ feet.

Now, the area of a parallelogram is given by the product of one side as the base and the perpendicular distance of that side from the opposite parallel side as height.

Now, the area of the given parallelogram is (20.5 × 2.25) = 46.125 square feet. (Answer)

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3 years ago

Find the value of x ​

Find the value of x