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3 years ago

Find the value of angles x, y, and z

Mathematics

1 answer:

AVprozaik [17]3 years ago

3 0

Answer:

x = 91, y = 89, z = 31 Fourth choice

Step-by-step explanation:

x = 180 - 51 - 38 = 91

y = 180 - 91 = 89

z = 180 - 60 - 89 = 31

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WHOEVER EXPLAINS ALL THEIR WORK AND GOES THROW EAXH STEP WILL GET BRAINLEST THAT IS COMPLETELY FINISEHD. write the equation of t

neonofarm [45]

Answer:

$y = -3x+11$

Step-by-step explanation:

I accept your challenge!

First we know that a equation of the line is a linear equation, and its equation is:

$y = mx+b$

$m: \text{slope}\\b: \text{y-intercept}$

In this context, the slope, defined as the steepness of a line is characterized as the ratio of RISE (the difference in the y-coordinates, the vertical change) over the RUN (the difference in x-coordinates, the horizontal change).

$m=\frac{\text{change in y}}{\text{change in x}}=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Once we know two points where the line goes through, we can get the slope, once we know the change in y and x.

I will take $(3,2)$ as Point 1 and $(4,-1)$ as Point 2.

So, $x_{1}=3 \text{ and } y_{1}=2\\x_{2}=4 \text{ and } y_{2}=-1$

$m=\frac{\text{change in y}}{\text{change in x}}=\frac{\Delta y}{\Delta x}=\frac{-1-2}{4-3}$

$m=\frac{-3}{1}=-3$

Now we have to find the y-intercept:

To do so, think about the the points given and the nearly finished equation, we can find b with those two informations.

Our currently equation of the line is:

$y = -3x+b$

Using the points, take Point 1 as an example, it says that when $x = 3, y = 2$ , so plugging it in the equation:

$2 = -3(3)+b\\2 = -9+b\\11 = b$

Taking the Point 2

$-1 = -3(4)+b\\-1 = -12+b\\11 = b$

Now we found $b$ ! The equation is complete!

$y = -3x+11$

6 0

3 years ago

Consider a manufacturing process that is producing hypodermic needles that will be used for blood donations. These needles need

Mars2501 [29]

Answer:

$\text{Average diameter is 1.65 mm and we decide that it is not 1.65 mm.}$

Step-by-step explanation:

We are given the following in the question:

The needle size should not be too big and too small.

The diameter of the needle should be 1.65 mm.

We design the null and the alternate hypothesis

$H_{0}: \mu = 1.65\text{ mm}\\H_A: \mu \neq 1.65\text{ mm}$

Sample size, n = 35

Sample mean, $\bar{x}$ = 1.64 mm

Sample standard deviation, s = 0.07 mm

Type I error:

It is the error of rejecting the null hypothesis when it is true.
It is also known as false positive error.
It is the rejecting of a true null hypothesis.

Thus, type I error in this study would mean we reject the null hypothesis that the average diameter is 1.65 mm but actually the average diameters of the needle is 1.65 mm.

Thus, average diameter is 1.65 mm and we decide that it is not 1.65 mm.

8 0

3 years ago

Read 2 more answers

What is the difference in the surface area of two cubes, one with edge 15 and one with an edge of 12

Lilit [14]

Remark

A cube has six sides, all of them equal. The formula for 1 side is s^2. The formula for all six = 6s^2.

Step One

Find the surface area of the larger cube.

Area = 6 *s^2

s = 15

Area = 6 *15^2

Area = 6 * 225

Area = 1350

Step Two

Find the area of the smaller cube

Area = 6s^2

Area = 6 * 12^2

Area = 6 * 144

Area = 864

Step Three

Find the difference

Area1 - Area2 = difference

1350 - 864 = 486

The difference is area = 486 units^2 <<<<< Answer

There is a slightly shorter way. Take out the common factor of 6

Difference = 6 * (15^2 - 12^2)

Difference = 6 * (225 - 144)

Difference = 6 * (81)

Difference = 486

6 0

3 years ago

michael has 40 coins worth 8.20. consisting of 10 cents and 25 cents . how many of each coins does he have ?

devlian [24]

Answer:

2 dollars I guess l d k

Step-by-step explanation:

pay subcription to get good answer k :)

5 0

3 years ago

Which line from “Raymond's Run” is evidence that Squeaky has courage?

likoan [24]

Answer:

when squeaky stands up to the mean girls

Step-by-step explanation:

6 0

3 years ago

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