Find the length of base PQ in the trapezoid.

Answer: health, safety, morals and general welfare.

Step-by-step explanation: Governments have justified their actions in determining how land is used with the four interests of health, safety, morals, and general welfare.  

(PLEASE MARK BRAINLIEST)

what microsofttamurchen said

Step-by-step explanation:

GIVE THEM BRAINLIEST !!

Answer:

area = 17

volume = 23

surface area =69

Answer:

x = 106º

Step-by-step explanation:

The interior angles of a triangle add up to 180º.

First let's find the third interior angle.

We already have: 37º & 69º.

Add them together.

= 106º

To find our third angle, subtract this value from 180º.

180 - 106 = 74º

This is our third interior angle.

x and 74º are supplementary angles, meaning they add up to 180º. This is because they lie on the same straight line and are divided by a single line which they share.

To find x, subtract 74 from 180.

180 - 74 = 106

x = 106º

This is your answer.

Hope this helps!

Your slope is

negative 11 over 3 !!!

Or approximately 3.67 (rounded)

Step-by-step explanation:

Complete question :

Kayla is framing a square painting with side lengths of x+5 inches. The total area of the painting and the frame has a side length of 3x-6. inches. Write an expression for the area of the frame. Then find the cost of the material for the frame if x = 16. The material for the frame will cost 0.07 per square inch

Answer:

8x² - 46x + 11 ;

$92.61

Step-by-step explanation:

Side length of square painting = x + 5

Area of square painting = (x +5)²

Side length of Total area of square painting + frame = 3x - 6

Total area = (3x - 6)²

Area of frame :

(3x - 6)² - (x +5)²

(3x - 6)(3x-6)

9x² - 18x - 18x +. 36 = 9x² - 36x + 36

(x +5)(x+5) = x²+5x+5x+25 = x² + 10x + 25

9x² - 36x + 36 - (x² + 10x + 25)

9x² - 36x + 36 - x² - 10x - 25

8x² - 46x + 11

Area of frame = 8x² - 46x + 11

8(16^2) - 46(16) + 11

= 1323 in²

1323 * 0.07 = $92.61

Answer:

Use photo math. It will explain the steps even in substitution method

Answer:

(X+4)(x-4)

Step-by-step explanation:

x^-16

=(X+4)(x-4)

Answer:

a = 23

b = 10

Step-by-step explanation:

The general formula is

y = 3x +  5

Just to check, let x = 2

y = 3*2 + 5

y = 6 + 5

y = 11

And a confirmation check

x = 3

y = 3*3 + 5

y = 9 + 5

y = 14

So for a

x = 6

y = 6*3 + 5

y = 18 + 5

y = 23

For b, you know y

35 = 3x + 5

- 5           -5              Subtract

30 = 3x                       Divide by 3

30/3 = 3x/3

x = 10

The values of the variables a and b are:

a = 23

b = 10

Answer:

akjnajknlkicea

Step-by-step explanation:

Answer:

He will have 1.4 apples.

Answer:

1 1/4

Step-by-step explanation:

asked my family lol

Answer:

ok-

30 peices divided by 6 gives you 5 photographs.

2/3 of 30 is 20 paintings.

so, 20 paintings minus 5 photographs means 15 more paintings than photos.

Range is about subtracting the lowest number from the highest number!

The lowest number is 54.

The highest number is 65.

65 - 54 = 11

Answer:

11

Step-by-step explanation:

Subtract the highest and lowest values 65-54, and you get 11

Answer:

D

Step-by-step explanation:

Since x can be  bigger than -3, or equal to -3,the circle is closed,meaning both are included

The arrow should go to the right when is bigger than....

Answer:

The answer is 16.

Answer:

the proof is in the picture

Step-by-step explanation:

16

Answer:

The answer is "[tex]{c=-6+3\sqrt{14}[/tex]"

Step-by-step explanation:

Given:

[tex]\to F(x) = \frac{x}{x+6} , \ [1, 12][/tex]

[tex]\to f'(c)=\frac{f(b)-f(a)}{b-a}[/tex]

As per the given intervals:

[tex][1,12]\\\\ a=1 \\ b=12.[/tex]

Calculating the values of f(a) and f(b).

[tex]\to f(1)=\frac{1}{1+6}= \frac{1}{7} \\\\ \to f(2)=\frac{12}{12+6}= \frac{12}{18}=\frac{2}{3} \\\\ \to f(x)=\frac{x}{x+6}\\\\[/tex]

[tex]\to f\:'\left(x\right)=\frac{d}{dx}\left(\frac{x}{x+6}\right)\: \\\\[/tex]

         [tex]=\frac{\frac{d}{dx}\left(x\right)\left(x+6\right)-\frac{d}{dx}\left(x+6\right)x}{\left(x+6\right)^2} \\\\=\frac{1\cdot \left(x+6\right)-1\cdot \:x}{\left(x+6\right)^2}\\\\[/tex]

[tex]\to f'(x)=\frac{6}{\left(x+6\right)^2}[/tex]

Calculating the value of [tex]\ f'(c):[/tex]

[tex]\to \mathbf{f\:'\left(c\right)=\frac{6}{\left(c+6\right)^2}}[/tex]

Replacement of the values in the mean theorem of value now.

[tex]\to \frac{6}{\left(c+6\right)^2}=\frac{\frac{2}{3}-\frac{1}{7}}{12-1}\\\\\to \frac{6}{\left(c+6\right)^2}=\frac{\frac{11}{21}}{11}\\\\\to \frac{6}{\left(c+6\right)^2}=\frac{1}{21}\\\\[/tex]

 Apply the cross multiplication:

[tex]\to (c+6)^2=126 \\\\\to c^2+12c +36= 126\\\\\to c^2+12c +36-126= 126-126 \\\\\to c^2+12c -90= 0\\\\\to c=\frac{-12\pm \sqrt{12^2-4\cdot \:1\left(-90\right)}}{2\cdot \:1}\\\\ \to \mathbf{c=-6+3\sqrt{14}} \\\\[/tex]

Answer:

? = 36.87°

Step-by-step explanation:

sin ? = 36/60 = 0.6

? = 36.87°

Answer:

[tex]x^{2}[/tex] - [tex]z^{2}[/tex] - 2z[tex]\sqrt{5}[/tex] - 5

Step-by-step explanation:

This is the equation that you started off with:

(x - z - [tex]\sqrt{5}[/tex])(x + z + [tex]\sqrt{5}[/tex])

You can't really use FOIL on this because that's used in multiplying binomials, and this is a trinomial, but you can still break it up and simplify it this way:

(a + b + c)*(d + e + f) = (a(d + e +f)) + (b(d + e + f)) + (c(d + e + f))

So, applying that idea to the actual equation:

x(x + z + [tex]\sqrt{5}[/tex]) -z(x + z + [tex]\sqrt{5}[/tex]) - [tex]\sqrt{5}[/tex](x + z + [tex]\sqrt{5}[/tex])

= x^2 + xz + x[tex]\sqrt{5}[/tex] -xz -z^2 - z[tex]\sqrt{5}[/tex] - x[tex]\sqrt{5}[/tex] - z[tex]\sqrt{5}[/tex] - 5

= x^2 - z^2 - 2z[tex]\sqrt{5}[/tex] - 5

or [tex]x^{2} - z^{2} - 2z\sqrt{5} - 5[/tex]

Answer:

205 ≥ 18.25 + 12.5x

Step-by-step explanation:

205 = maximum money

18.25 = parking

12.5x = cost per person where x is the number of people

Answer:

259 cm will be the answer, if i am wrong im very sorry about getting it wrong

Step-by-step explanation:

i tried my best.

Answer:

The answer is the last choice

Answer:

x = -3

Step-by-step explanation:

Note the equal sign, what you do to one side of the equation, you do to the other. Isolate the variable, x.

Add 2 to both sides of the equation:

x - 2 (+2) = -5 (+2)

x = -5 + 2

x = -3

x = -3 is your answer.

~

Answer:

x=-3

Step-by-step explanation:

x-2=5

add 2 to both sides

x-2+2=-5+2

=x=-3

Anser is x =-3

Answer:

the mean is 18.2, median is 16, and there is no mode

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

mean is the average of the number.you have to add up all the number then divide it by how many numbers there are.

your question is :30,16,29,14,21 (5 number)

(30+16+29+14+21) / 5 = 22

Answer:

P=28

Step-by-step explanation:

a=bh

24= 12x

24 divided by 12=2

12 +2+12+2= 28

30 units²

Step-by-step explanation:

As it is a right angled triangle, we can get the area by simply applying the formula

Area = 1/2 × base × height

Taking the base as 12 and height as 5, we get

Area = 1/2 × 12 × 5

Area = 30 units²

Hope this helps! :D

Answer:

10 yd. 2 d. 5-333. 15 yd2. 8. ... 5). 4) Determine the values of the missing variables, given the following triangle ... 10 6 km. 으니 a = 4, p = 20 3 x= 4V15, y= 4V5 x = 10, y = 5 x=513, y=5.

Answer:

486

Step-by-step explanation:

1,985 + 12,000 + x = 14,471

x = 14471 - 12000 - 1985

x = 486

Answer:

486

Step-by-step explanation:

14471-12000-1985=486

Hope this helps :D