Please help me find the value of each variable in the parallelogram

Mathematics

1 answer:

seropon [69]3 years ago

4 0

Answer:

K=10 H=65

Step-by-step explanation:

To work out K, you need to know that opposite angles are the same, so 5k is the same as 50, 50÷5= 10, so k=10

To work out H, you know that opposite angles are the same so 2h is the same as 130, 130÷2=65 so h=65

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WHAT ARE COMMON FACTORS

AlekseyPX

"Common" means "same for both". If two numbers have a factor that's the same, then it's a common factor of them. Example: 2 is a common factor of 6 and 10. It's NOT the only factor of either number, but it's a factor that they share ... a 'common' one.

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3 years ago

Let ℤ17 be the ring of integers modulo 17, and let ℤ×17 be the group of units of ℤ17 under multiplication. Which of the followin

joja [24]

Answer: The correct option is (E) I, II and III.

Step-by-step explanation: Given that ℤ17 be the ring of integers modulo 17, and let ℤ×17 be the group of units of ℤ17 under multiplication.

We are to select the correct generators of ℤ×17.

According to the given information, we can write

ℤ17 = {0, 1, 2, 3, . . . , 16}

and

ℤ×17 = {1, 2 , 3 , . . . 16}.

The generators of ℤ×17 are those elements which are co prime to 17.

Since all the elements from 1 to 16 are co prime to 17, so all the elements of the set ℤ×17 are its generators.

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Thus, (E) is the correct option.

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3 years ago

A rectangular athletic field is three times as long as it is wide. If the perimeter of tje athletic field is 128 yards, what are

Dahasolnce [82]

The length of the field is 48 yard while the width of the field is 16 yards.

My Work/Reasoning:
Say that the width is "x" yards. $x$
The length of the field is three times longer than the width. $3x$
The perimeter of the rectangle is 128 yards. $128$
To get the perimeter of a rectangle you multiply the sum of the length and the width by two. $2(x+3x)=128$
Then you follow order of operations and add x and 3x. $2*4x=128$
Then you multiply. $8x=128$
After that, you divide 8 on both sides to get the width (total) in yards. $x=32$
Then you divide that to get the width. $32/2=16$
Finally, to get the length of the field, you multiply the width of the field by three to get its length. $16*3=48$