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ohaa [14]
2 years ago
9

Match each statement to it’s corresponding reason. Drake the items on the left to the correct location on the right PLEASE AND T

HANK YOU

Mathematics
1 answer:
andreyandreev [35.5K]2 years ago
6 0

Answer:

Step-by-step explanation:

1) \angle AED and \angle BEC are vertical angles

2) \angle AED and \angle BEC are created by intersecting lines (definition of vertical angles)

3) \angle AED and \angle AEB form a linear pair, \angle AEB and \angle BEC form a linear pair

4)  \angle AED and \angle AEB are supplementary, \angle AEB and \angle BEC are supplementary

5) \angle AED \cong \angle BEC

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Use the table to determine the location with the greatest amount of rainfall and the location with the least amount of rainfall.
Kryger [21]

Step-by-step explanation:

I think it is hilo hawii 480 cm it has the longest cm

7 0
2 years ago
Need help ASAP PLEASEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!
Alex17521 [72]
5(1)= 5; identity property of multiplication
(3+5)+0=(3+5); identity property of addition
[3(5)](4)=(3)[5(4)]; associative property of multiplication
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hope this helps :)
3 0
2 years ago
Read 2 more answers
Which answer is the approximate standard deviation of the data set?
Anna35 [415]

Answer:

3.4

Step-by-step explanation:

Standard deviation of a population is defined as:

σ² = ∑(xᵢ − μ)² / n

The standard deviation of a sample is defined as:

s² = ∑(xᵢ − x)² / (n - 1)

It's not clear which one we have, so let's calculate both.

First, we must find the mean.

μ = (5+12+15+10+12+6+8+8) / 8

μ = 9.5

Now we find the squares of the differences:

(5-9.5)² + (12-9.5)² + (15-9.5)² + (10-9.5)² + (12-9.5)² + (6-9.5)² + (8-9.5)² + (8-9.5)²

= 80

Divide by n:

σ² = 80 / 8

σ² = 10

And take the square root:

σ = √10

σ ≈ 3.2

That's not one of the answers, so let's try the standard deviation of a sample instead of a population.

Instead of dividing by n, we'll divide by n-1:

s² = 80 / 7

And take the square root:

s = √(80/7)

s ≈ 3.4

So that must be it.

6 0
3 years ago
What is 10% of 1/4 please help and explain
makvit [3.9K]
10/100=0.1
1/4=0.25
0.1*0.25=0.025
5 0
3 years ago
Read 2 more answers
X = ? y = ? 16 45 degrees
mezya [45]

Let's put more details in the figure to better understand the problem:

Let's first recall the three main trigonometric functions:

\text{ Sine }\theta\text{ = }\frac{\text{ Opposite Side}}{\text{ Hypotenuse}}\text{ Cosine }\theta\text{ = }\frac{\text{ Adjacent Side}}{\text{ Hypotenuse}}\text{ Tangent }\theta\text{ = }\frac{\text{ Opposite Side}}{\text{ Adjacent Side}}

For x, we will be using the Cosine Function:

\text{ Cosine }\theta\text{ = }\frac{\text{ Adjacent Side}}{\text{ Hypotenuse}}Cosine(45^{\circ})\text{ = }\frac{\text{ x}}{\text{ 1}6}(16)Cosine(45^{\circ})\text{ =  x}(16)(\frac{1}{\sqrt[]{2}})\text{ = x}\text{ }\frac{16}{\sqrt[]{2}}\text{ x }\frac{\sqrt[]{2}}{\sqrt[]{2}}\text{ = }\frac{16\sqrt[]{2}}{2}\text{ 8}\sqrt[]{2}\text{ = x}

Therefore, x = 8√2.

For y, we will be using the Sine Function.

\text{  Sine }\theta\text{ = }\frac{\text{ Opposite Side}}{\text{ Hypotenuse}}\text{ Sine }(45^{\circ})\text{ = }\frac{\text{ y}}{\text{ 1}6}\text{ (16)Sine }(45^{\circ})\text{ =  y}\text{ (16)(}\frac{1}{\sqrt[]{2}})\text{ = y}\text{ }\frac{16}{\sqrt[]{2}}\text{ x }\frac{\sqrt[]{2}}{\sqrt[]{2}}\text{ = }\frac{16\sqrt[]{2}}{2}\text{ 8}\sqrt[]{2}\text{ = y}

Therefore, y = 8√2.

5 0
1 year ago
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