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pentagon [3]
3 years ago
5

ABCDEFGHIJ is a regular decagon and the measure of <D is 144º. What is the measure of <A?

Mathematics
2 answers:
AnnyKZ [126]3 years ago
4 0

Answer:

1. 144⁰

2. 60⁰

Step-by-step explanation:

The formula to find the measure of the interior angles of a regular polygon is:

m< = (n - 2) • 180/n where n = the number of sides

For a decagon, there are 10 sides.

m< = (10-2) • 180/10 = 144°

A regular polygon/equilateral triangle is defined as having equal sides and angles.

KatRina [158]3 years ago
4 0

Answer:

given ABCDEFGHIJ is a decagon

As we know the sum of all ten interior angles of a decagon = 1440°

so measure of each angle of decagon = (1440/10)° = 144°

so the measure of ∠A would be 144° (C)

given Δ ABC is a equilateral triangle

As we know the sum of all three interior angles of a equialter traingle = 180°

so if one angle of an equilateral triangle is 60°

then the remaining of the angles would have the measure of 60° each

So answer = 60°(B)

Hope it helps

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Answer:

a. We are confident that the mean admission rate is between 52.8% and 75.0%

Step-by-step explanation:

When you have an unknown population parameter you can use a sample to delimit an interval in which this parameter is, the interval is called confidence interval and the confidence level is the probability of the parameter being inside the interval. The confidence interval is represented by a pair of numbers, in this case, the pair is (52.8%, 75.0%) and the confidence level is 95%, with that level you can say that you're confident that the mean admission rate is between  (52.8%, 75.0%).

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3 years ago
Find the value of y if the line through the two given points is to have the indicated slope.
Masteriza [31]
Slope is the change in y/ change in x so the equation will be:
-2= (1-y)/(-6-(-5)) -> simplify -> -2= 1-y/-1 -> multiply both sides by -1 -> 2=1-y -> simplify and -y= 1 -> y=-1 
4 0
3 years ago
4) FRIDAY: An unknown quantity which is represented by a letter or a symbol is called _____
lukranit [14]

Answer:

A Variable

Step-by-step explanation:

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For example in 5x+23=45, 'x' is the variable.

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<em>Brainilest Appreciated. </em>

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Use the distance formula to determine whether ABCD below is a parallelogram. A(-3,2) B(-3,3) C (5,-3) D (-1.-5)
Pani-rosa [81]

Answer:

ABCD is not a parallelogram

Step-by-step explanation:

Use the distance formula to determine whether ABCD below is a parallelogram. A(-3,2) B(-3,3) C (5,-3) D (-1.-5)

We have to find the length of the sides of the parallelogram using the formula below

= √(x2 - x1)² + (y2 - y1)² when given vertices (x1, y1) and (x2, y2)

For side AB

A(-3,2) B(-3,3)

= √(-3 -(-3))² + (3 -2)²

= √0² + 1²

= √1

= 1 unit

For side BC

B(-3,3) C (5,-3)

= √(5 -(-3))² + (-3 -3)²

= √8² + -6²

= √64 + 36

= √100

= 10 units

For side CD

C (5,-3) D (-1.-5)

= √(-1 - 5)² + (-5 - (-3))²

= √-6² + -2²

= √36 + 4

= √40 units

For sides AD

A(-3,2) D (-1.-5)

= √(-1 - (-3))² + (-5 -2)²

= √(2² + -7²)

= √(4 + 49)

= √53 units

A parallelogram is a quadrilateral with it's opposite sides equal

From the above calculation

Side AB ≠ CD

BC ≠ AD

Therefore, ABCD is not a parallelogram

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3 years ago
What is the sum? -1.5 + 1.9​
Talja [164]

Answer: 0.4

Step-by-step explanation:

4 0
3 years ago
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