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2 years ago

Question 14

Mathematics

2 answers:

sergey [27]2 years ago

4 0

Answer:

Step-by-step explanation:

Andrews [41]2 years ago

4 0

Answer:

Step-by-step explanation:

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Can anyone help me find the coordinates (?,?) given that the shape is a parallelogram? (15 points)

xxTIMURxx [149]

The missing coordinates of the parallelogram is (m + h, n).

Solution:

Diagonals of the parallelogram bisect each other.

Solve using mid-point formula:

$$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )$

Here $x_1=m, y_1=n, x_2=h, y_2=0$

$$=\left( \frac{m+h}{2}, \frac{n+0}{2}\right )$

$$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right )$

<u>To find the missing coordinate:</u>

Let the missing coordinates by x and y.

Here $x_1=0, y_1=0, x_2=x, y_2=y$

$$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{x}{2}, \frac{y}{2}\right )$

Now equate the x-coordinate.

$$ \frac{m+h}{2}=\frac{x}{2}$

Multiply by 2 on both sides of the equation, we get

m + h = x

x = m + h

Now equate the y-coordinate.

$$\frac{n}{2} = \frac{y}{2}$

Multiply by 2 on both sides of the equation, we get

n = y

y = n

Hence the missing coordinates of the parallelogram is (m + h, n).

5 0

2 years ago

1. Find the GCF of 3x3y5z and 21xy3z4.

swat32

Answer:

GREATEST COMMON FACTOR IS 9XZ

4 0

2 years ago

Rule: start at 17.3 add 0.9 please help

ra1l [238]

17.3, 18.2, 19.1, 20

6 0

2 years ago

A coin is biased such that it results in 2 heads in every 3 coin flips, on average. The sequence _____ is most probable for the

valentinak56 [21]

I am relatively sure the answer you are looking for is;

H H H T T H T T H H H H

3 0

2 years ago

For a population with = 100 and = 20, what is the x value corresponding to z = 1.50?

mafiozo [28]

For a population with mean (μ) = 100 and standard deviation (σ) = 20, the X value corresponding to z = 1.50 is 130.

<h3>What is a z-score?</h3>

A z-score is also referred to as a standard score and it's a measure of the distance between a raw score and the mean, when standard deviation units are used.

<h3>How to determine the value of x?</h3>

In Statistics, the standardized z-score is giving by this formula:

$Z=\frac{\bar{x}\;-\;\mu}{ \sigma }$

Making x the subject of formula, we have:

x = Zσ + μ

Substituting the given parameters into the formula, we have;

x = 1.50(20) + 100

x = 30 + 100

x = 130.

Read more on z-scores here: brainly.com/question/4302527

#SPJ4

Complete Question:

For a population with μ= 100 and σ = 20, what is the X value corresponding to z = 1.50?

101.5

115

130

6 0

1 year ago