Find the missing angle (x).

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Answer:

-2

Step-by-step explanation:

The slop of YZ is 1/2. The slope perpendicular would be opposite, making it -2.

Answer:

- 2

Step-by-step explanation:

Calculate the slope m of YZ using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = Y(- 7, - 4) and (x₂, y₂ ) = Z(5, 2)

m = [tex]\frac{2+4}{5+7}[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2

Answer:

f(2) = 3×2^2 - 6×2 + 2

= 12 - 12 + 2

= 2

Answer:

y=Mx+b

Step-by-step explanation:

Answer:

i belive it d

Step-by-step explanation:

yes its a function because it passes the vertical line test. Yes, it is linear because the slope is constant.

The equivalent equations to  72x+12y=60 are:

The given equation is:

72x+12y=60

To find the equivalent equations, follow the steps below

Multiply the equation 72x+12y=60 by 10

10(72x) + 10(12y) = 10(60)

720x  +  120y   =  600

Divide the equation 72x+12y=60 by 12

(72x/12)  +  (12y/12) = 60/12

6x  +  y   =  5

y  =  5  -  6x

Divide the equation 72x+12y=60 by 72

(72x/72)  +  (12y/72) = 60/72

x  +  y/6  =  5/6

x  =  5/6  -  y/6

The equivalent equations to  72x+12y=60 are:

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Answer:

9 pounds would be 144 ounces!

Step-by-step explanation:

1 times 9 is 9

so 16 times 9 is 144!

hope this helps you!

Answer:

Area = 1,344 cm²

Step-by-step explanation:

First, find the value of x and the numerical side length of all sides of the triangle before finding the area.

Thus:

Perimeter of a triangle = sum of all its side

Therefore,

(6x - 44) + (2x - 20) + (3x + 24) = 224

Solve for x

6x - 44 + 2x - 20 + 3x + 24 = 224

Add like terms

11x - 40 = 224

Add 40 to both sides

11x = 224 + 40

11x = 264

Divide both sides by 11

x = 24

Find the measurement of each side length by plugging in the value of x:

Hypotenuse = 6x - 44 = 6(24) - 44 = 100 cm

Height = 2x - 20 = 2(24) - 20 = 28 cm

Base = 3x + 24 = 3(24) + 24 = 96 cm

Find the area:

Area = ½×base×height

Plug in the values

= ½×96×28

Area = 1,344 cm²

Answer:

29% chance that it will be male

Answer:

3/18, or simplified, he has a 1/6 chance of grabbing an adventure book.

Step-by-step explanation:

6 + 5 + 4 + 3 = 18. There's 3 adventure books, which makes it so that he has a 3/18 chance of it being an adventure book. How did I simplify? 18 ÷ 3 = 6, 3 ÷ 3 = 1.

Answer:

Expected rate of return  =7.1% (Approx.)

Step-by-step explanation:

Given:

Current stock price = $50

Divided d = $2

Growth rate g = 5 %

Find:

Expected rate of return

Computation:

Expected rate of return = D(1+g)/Current Price + g

Expected rate of return = [2(1+5%)/50] + 5%

Expected rate of return  =7.1% (Approx.)

Answer:

ok sooo

Step-by-step explanation:

2x - 5 + - x - 2

Answer:A, C, and D

Step-by-step explanation:

ANSWER:

25/144

........................

Answer:

45

Step-by-step explanation:

divide 300 by 100 then multiply it by 15 to find how many people makes 15% of 300

300 ÷ 100 = 3 ➡ 3×15 = 45

214 boxes of chocolate, 321 bags of caramel corn item was sold.

Boxes of chocolate sell for $6 each and bags of caramel corn sell for

$5 each. A total of 535 items were sold and $2889 was

raised.

set of  of chocolate was sold x boxes,

because  a total of 535 items more sold .

so the caramel corn was sold (535 -x) bags,

and boxes of  chocolate sell for $6 each , bags of caramel corn for each and  $2889 was raised.

so 6 x+ 5.(535-x) = $2889.

6 x+ 5.535-x = $2889.

6 x+ 2675 - 5x = $2889.

6x - 5x =2889-265

x =214

so the caramel corn was sold 535-x =535-214 = 321

214 boxes of chocolate, 321 bags of caramel corn was sold.

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Caramel corn bags cost $5 apiece, while chocolate boxes cost $6 each. 535 products in total were sold, bringing in a total of $2889 then there exists 214 boxes of chocolate, 321 bags of caramel corn was sold.

Any one of the forms, including addition, subtraction, multiplication, and division, should be used for the algebraic expression. Bring the variable to the left side and the other values to the right side in order to find the value of x. To find the answer, simplify the values.

Let set of  of chocolate was sold x boxes,

because  a total of 535 items more sold .

so the caramel corn was sold (535 - x) bags, and boxes of  chocolate sell for $6 each , bags of caramel corn for each and  $2889 was raised.

From the given information, we get

6x + 5(535 - x) = $2889

simplifying the above equation, we get

6x + 5 × 535 - 5x = $2889

6x + 2675 - 5x = $2889

6x - 5x = 2889 - 265

x = 214

So the caramel corn was sold = 535 - x

Substitute the value of x in the above equation, we get

= 535 - 214

= 321

There exists 214 boxes of chocolate, 321 bags of caramel corn was sold.

Therefore, the correct answer is option b) 214 boxes of chocolate, 321 bags of caramel corn.

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Answer:

7.6

Step-by-step explanation:

Given:

In rectangle ABCD, diagonals AC and BD intersect at E, AE=3x-28 and DE=.5x+12.

To find:

The length of AC.

Solution:

We know that, diagonals of a rectangle are equal and they bisect each other.

In rectangle ABCD, diagonals AC and BD intersect at E, so

[tex]AE=BE=CE=DE[/tex]          ...(i)

Taking [tex]AE=DE[/tex], we get

[tex]3x-28=0.5x+12[/tex]

[tex]3x-0.5x=28+12[/tex]

[tex]2.5x=40[/tex]

Divide both sides by 2.5.

[tex]x=\dfrac{40}{2.5}[/tex]

[tex]x=16[/tex]

Now,

[tex]AE=3x-28[/tex]

[tex]AE=3(16)-28[/tex]

[tex]AE=48-28[/tex]

[tex]AE=20[/tex]

Using segment addition property,

[tex]AC=AE+CE[/tex]

[tex]AC=AE+AE[/tex]         [Using (i)]

[tex]AC=20+20[/tex]

[tex]AC=40[/tex]

Therefore, the length of AC is 40 units.

Answer:

It is e = 3

Step-by-step explanation:

It is e = 3 and not e = -3 because 44e - 41 e = 3e, then you'd subtract 30 from both sides to get the 3e equal to something which is 9. then dividing both sides by 3 would give you e = 3

Answer:

First you'd look at PEMDAS (parenthesis, exponent, multiplication, division, addition, and subtraction( you'd look at them in this order to solve the equation properly.))

So there is a parenthesis, that would be the 3(2^0). ignore the three, because you're focusing on the parenthesis. Any number other than zero with an exponent of zero will always be one. leaving you with 3(1).

So by now you should know (depending on your level of mathematics, That a number beside a single number in a parenthesis is multiplication. so 3 times 1.

Knowing that any number, other than zero, multiplied by 1 is the number itself, The answer is 3

In short,  3(2^0) = 3

Answer:

54

Step-by-step explanation:

As we know s+19+(180-73)=180

so s+19=73

s=54

Step-by-step explanation:

2x=6

x=6

2

x=3 ans

hope it help u

Answer: 4

Step-by-step explanation:

Answer:

A. x=4

B. x=16

Step-by-step explanation:

A. multiply out: 3x+6=18

subtract 6 from both sides: 3x=12

divide both sides by 3: x=4

B. subtract 2 from both sides: x=16

Answer:

12 sugars and 24 flour

Step-by-step explanation:

if 4 x ( times ) 3 = 12,

8 x 3 = 24.

Answer:

Multiply by 3

Answer:

f(x)= -1/4x-2

Step-by-step explanation:

Slope= -1/4

y-intercept= -2

Answer:33

Step-by-step explanation: Subtract 91 by 58

After that it gives you 33 so the beans weigh 33 more g's than the rice

Answer:

The beans weigh 33 grams more than the rice.

Step-by-step explanation:

To solve this, find the difference between the two numbers by subtracting the smaller number from the larger one.

91-58=33

Answer:

What units are you going by?

Step-by-step explanation:

Answer:

There are 15 quarters and 18 nickles

Step-by-step explanation:

The equations derived from this word problem are

5n + 25q = 465

and

3 + q = n

Fill (3 + q) into n in the first equation then solve. You get q = 15.

Then plug 15 into second equation (cause it's easier).

You get n = 18

Answer:

None of the statements given in the options show the correct reasoning for finding 15÷ 29

Step-by-step explanation:

We are asked to find which of the statements below corresponds to: 15÷29.

15 ÷ 29 =

0.5172413793

= (10 + 5) ÷ 29

= (10 ÷ 29) + (5 ÷ 29)

= 0.5172413793

None of the statements given in the options show the correct reasoning for finding 15÷ 29