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2 years ago

Solve x, this figure is a parallelogram, please show your work

Mathematics

1 answer:

Stels [109]2 years ago

8 0

Answer:

x=4

Step-by-step explanation:

Since it's a parallelogram, the angle BCE(79) = angle CED(79)

so... 79+63 = 142

now...

142+8x+6=180(sum of angles in a triangle)

148+8x=180

8x=32

x=4

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A number has 2,5 and 7 as its prime factors. what are the four smallest values it and take

MA_775_DIABLO [31]

Answer:

70, 140, 280, 350

Step-by-step explanation:

Obviously, it must have the factors 2, 5, 7 as a minimum, so the smallest value is 2×5×7 = 70.

Any of these primes can be added to the product. In increasing order, the smallest additional factors will be 2, 4, 5, 7, 8, 10, ...

So, the four smallest numbers with prime factors of 2, 5, and 7 are ...

70 = 2·5·7

140 = 2²·5·7

280 = 2³·5·7

350 = 2·5²·7

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2 years ago

What is is the value of x if -18/6x=-22

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Answer:

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2 years ago

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Amy drove to her mother’s house, which is 204 miles away. If it took her 3 hours, what was her average speed?

disa [49]

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Step-by-step explanation:

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2 years ago

A regular hexagon with side length 4 has the same area as a square. What is the length of the square?

svetlana [45]

Answer: The length of the square is $6.44$

Step-by-step explanation:

By definition, the area of a Regular polygon can be calculated with the following formula:

$A=\frac{s^2n}{4tan(\frac{180}{n})}$

Where "s" the length of any side of the polygon and "n" is the number of sides .

According to the information given in the exercise, you know that:

$s=4$

Since an hexagon has six sides, you know that:

$n=6$

Therefore, its area is:

$A_h=\frac{(4^2)(6)}{4tan(\frac{180}{6})}\\\\A_h=24\sqrt{3}$

The formula to find the area of a square is:

$A=s^2$

Where "s" is the length of any side of the square.

Since that regular hexagon has the same area as this square, you can substituting the area calculated above into the formula for calculate the area of a square, and then solve for "s".

Then you get:

$24\sqrt{3}=s^2\\\\\sqrt{24\sqrt{3}}=s\\\\s=6.44$

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2 years ago