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3 years ago

Find the value of x in the parallelogram.

Mathematics

1 answer:

yuradex [85]3 years ago

6 0

Answer:

Step-by-step explanation:

Since the two angles are on the same side of the parallelogram, they're supplementary.

x + (2x - 45) = 180

3x - 45 = 180

3x = 225

x = 75

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Who invented the word "book?"

jarptica [38.1K]

Wow!!thats a word from the old english that made it

7 0

3 years ago

PLEASE HELP, 30 points AND brainliest if I get an explanation :)

Nostrana [21]

Answer:

Please check the explanation.

Step-by-step explanation:

BLUE PENTAGON

The blue shape represents the Pentagon

The length of the side a = 7

As there are 5 sides.

Thus,

The Perimeter of the Blue Pentagon = P = 5a = 5(7) = 35

Using the formula to determine the area of the Pentagon

$A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}a^2\:\:\:\:\:\:\:\:\:\:\:\:\:$

$A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}\left(7\right)^2\:\:\:\:\:\:$

$A\approx 84.3\:\:\:$

Thus,

The Area of the Blue Pentagon = $A\approx 84.3\:\:\:$

RED PENTAGON

The red shape represents the Pentagon

The length of the side a = 4

As there are 5 sides.

Thus,

The Perimeter of the Red Pentagon = P = 5a = 5(4) = 20

Using the formula to determine the area of the Pentagon

$A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}a^2\:\:\:\:\:\:\:\:\:\:\:\:\:$

$A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}\left(4\right)^2\:\:\:\:\:\:$

$\:A\approx 27.5$

The Area of the Red Pentagon = $\:A\approx 27.5$

Conclusion:

The Perimeter of the Blue Pentagon = 35

The Perimeter of the Red Pentagon = 20

Thus, the ratio of the perimeter is: 35/20 = 7/4

The Area of the Blue Pentagon = 84.3 = 843/10

The Area of the Red Pentagon = 27.5 = 275/10

Thus, the ratio of the Area is:

$\frac{\frac{843}{10}}{\frac{275}{10}}=\frac{843}{275}$

7 0

3 years ago

Can someone please help me

Anettt [7]

Answer:

6, 12, 21, 10, then 4

Step-by-step explanation:

This is more difficult to answer than you would think, you can't actually see the picture when typing the answer

5 0

3 years ago

Read 2 more answers

What's the answer to 9x+2y=49

STatiana [176]

x= 49/9 − 2y/9

Step-by-step explanation:

Move all terms that dont contain x to the right side and solve. (I solved for x i hope thats what you needed. Next time be a little more detailed. (: )

8 0

2 years ago

Your personal library contains books written by 165 authors. 60% of the authors are men. 40% of the authors write only nonfictio

Scorpion4ik [409]

Answer:

The probability that a book picked at random is either a work written by an author who writes only nonfiction or a work written by a man is 75.8%.

Step-by-step explanation:

The probability, in this case, has to be calculated using the sum rule because the events are independent.

P = P(men) + P(non-fiction) - P(men non-fiction); where P is the probability. It means the probability that the random book was written by a man plus the probability that the random book was non-fiction minus the probability that the random book was written by a man who writes non-fiction. The probability that the random book was written by a man who writes non-fiction has to be subtracted, if not you will be duplicating it.

Facts:

P(men) = 60% = 99/165

P(non-fiction) = 40% = 66/165

P(men non-fiction) = 40/165

P = P(men) + P(non-fiction) – P(men non-fiction)

P = 99/165 + 66/165 – 40/165

P = 125/165

P = 0.758 or 75.8%

3 0

3 years ago