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dmitriy555 [2]
3 years ago
9

Use the parallelogram below to solve for x x , then find the length of all 4 sides. figure

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
6 0
Can u show me what the parallelogram below was
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Find the value of b. Then find the angle measures of the pentagon.
melamori03 [73]

Answer:

b = 90

Step-by-step explanation:

Sum the interior angles of the pentagon and equate to 540

Starting from the top and going clockwise

b + b + 45 + 90 + 2b - 90 + \frac{3}{2} b = 540 ← simplify left side

\frac{11}{2} b + 45 = 540 ( multiply through by 2 to clear the fraction )

11b + 90 = 1080 ( subtract 90 from both sides )

11b = 990 ( divide both sides by 11 )

b = 90

Thus

b + 45 = 90 + 45 = 135

2b - 90 = 2(90) - 90 = 180 - 90 = 90

\frac{3}{2} b = \frac{3}{2} × 90 = 135

The angle measure from the top clockwise are

90°, 135°, 90°, 90°, 135°

7 0
2 years ago
Aaron’s mother purchases a new computer for $1750. If she claims a linear depreciation (loss of value) on the computer at a rate
kirill [66]

After 8 years the value of the computer to be $0 if the Aaron’s mother purchases a new computer for $1750.

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

Aaron’s mother purchases a new computer for $1750. If she claims a linear depreciation (loss of value) on the computer at a rate of $250 per year.

The above problem can be solved using concept of arithmetic sequence

The starting value = $1750

After one year = 1750 - 250 = $1500

After second year = 1500 - 250 = $1250

Common difference = 1500 - 1750 = -250

a(n) = 1750 + (n - 1)(-250)

a(n) = 0  (final value is zero given)

0 = 1750 + (n - 1)(-250)

n - 1 = 7

n = 8 years

Thus, after 8 years the value of the computer to be $0 if the Aaron’s mother purchases a new computer for $1750.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ1

4 0
1 year ago
Quotient of 120 and 10
saw5 [17]
Quotient is the result of division
120 divided by 10 = 12

therefore your quotient would be 12
5 0
2 years ago
Read 2 more answers
Jason and Maria are playing a board game in which three dice are tossed to determine a player's move. Find each probability for:
fredd [130]
Tossing a die will have 6 possible outcomes. Those are having sides that are number 1 to 6. The sample space of tossing 3 dice is equal to 6³ which is equal to 216. Now for the calculation of probabilities,

P(two 5s) = (1 x 1 x 5)/216
As we have to have the 5 in the die for two times, then for the 1 time, we can have all other numbers except 5. The answer is 5/216. 

P(three 5s) = (1 x 1 x 1)/216   = 1/216

P(one 5 or two 5s)  = (1 x 5 x 5)/216 + (1 x 1 x 5)/216 = 5/36
6 0
2 years ago
This is timed, much help is appreciated:)
Strike441 [17]

The value of the angle m∠4 is 105 degrees.

<h3>How to find angles in a quadrilateral?</h3>

The sum of angles in a quadrilateral is 360 degrees.

Therefore,

m∠1 + m∠2  + m∠3 + m∠4 = 360°

Hence,

x + x + 10 + x + 20 + x + 30 = 360

4x + 60 = 360

4x = 360 - 60

4x = 300

x = 360 / 4

x = 75

Therefore,

m∠4 = 75 + 30 = 105°

learn more on quadrilaterals here: brainly.com/question/17178852

#SPJ1

4 0
2 years ago
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