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3 years ago

9

HELP PLEASE!!!!!! PLEASE!!!!

2 answers:

Nezavi [6.7K]3 years ago

4 0

Answer:

x = 15°

Step-by-step explanation:

7x + 28° = 133° { being vertically opposite angles }

7x = 133° - 28°

7x = 105°

x = 105° / 7

x = 15°

< WPZ = 133° {being vertically opposite angles }

OR

< WPZ = 7x + 28° = 7 * 15 + 28° = 133°

Hope it will help :)❤

True [87]3 years ago

3 0

What the first person said was very true

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The following histogram presents the amounts of silver (in parts per million) found in a sample of rocks. One rectangle from the

gladu [14]

Answer:

<u><em>The height of the missing rectangle is 0.15</em></u>

Explanation:

The image attached has the mentioned <em>histogram</em>.

Such histogram presents the relative frequencies for the clases [0,1], [1,2],[2,3], [4,5], and [5,6] Silver in ppm.

Only the rectangle for the class [3,4] is missing.

The height of each rectangle is the relative frequency of the corresponding class.

The relative frequencies must add 1, because each relative frequency is calculated dividing the absolute class frequency by the total number in the sample; hence, the sum of all the relative frequencies is equal to the total absolute class frequencies divided by the same number, yielding 1.

In consequence, you can sum all the known relative frequencies and subtract from 1 to get the missing relative frequency, which is the height of the missing rectangle.

<u>1. Sum of the known relative frequencies</u>:

0.2 + 0.3 + 0.15 + 0.1 + 0.1 = 0.85

<u>2. Missing frequency</u>:

1 - 0.85 = 0.15

<u>3. Conclusion</u>:

The height of the missing rectangle is 0.15

4 0

3 years ago

What is the inverse of this function? (Function in photo)

valkas [14]

Given:

The function is

$f(x)=-\dfrac{1}{2}\sqrt{x+3},x\geq -3$

To find:

The inverse of the given function.

Solution:

We have,

$f(x)=-\dfrac{1}{2}\sqrt{x+3}$

Put f(x)=y.

$y=-\dfrac{1}{2}\sqrt{x+3}$

Interchange x and y.

$x=-\dfrac{1}{2}\sqrt{y+3}$

Isolate the variable y.

$-2x=\sqrt{y+3}$

$(-2x)^2=y+3$

$4x^2-3=y$

$y=4x^2-3$

Putting $y=f^{-1}(x)$ , we get

$f^{-1}(x)=4x^2-3$

For $x\geq -3$ ,

$x+3\geq 0$

$\sqrt{x+3}\geq 0$

$-\dfrac{1}{2}\sqrt{x+3}\leq 0$

$f(x)\leq 0$

It means for function $f(x)\leq 0$ and for inverse function $x\leq 0$ because the range of the function is the domain of inverse function.

Therefore, $f^{-1}(x)=4x^2-3$ for $x\leq 0$ .

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3 years ago

Find an equation of the line that (a) has the same y -intercept as the line y + 5x + 9 = 0 and (b) is parallel to the line - 3x

kap26 [50]

Equation of required line is:

$y = \frac{3}{4}x-9$

Step-by-step explanation:

First of all we will convert both equations in slope-intercept form

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$y+9 = 0-5x\\y+9 = -5x$

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The y-intercept is -9.

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Dividing both sides by 4

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As the required line has y-ntercept of line y + 5x + 9 = 0

So,

b = -9

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$m=\frac{3}{4}$

Slope-intercept form of line is:

$y=mx+b$

Putting values of b and m

$y = \frac{3}{4}x-9$

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

#LearnwithBrainly

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Step-by-step explanation:

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