Use the following to write and solve a proportion to find the values of X, Y and Z. ​

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Explanation:

The overall plank is 33 inches long. Subtract 2 copies of 2 inches off to represent those left and right 2 inches of space at each end.

33 - 2*2 = 33 - 4 = 29

So we have 29 inches to work with.

There are 4 plaques to hang up, and each is 5 inches wide. So that accounts for 4*5 = 20 inches of space just for the plaques themselves. We have 29-20 = 9 inches left for the gaps between plaques.

Since we have 4 plaques, there are 4-1 = 3 gaps between the adjacent plaques. The gap width is 9/3 = 3 inches.

See the diagram below. The values in black are the widths of each championship (5 inches each). The values in red are the gaps either between the plaques or between the plaque and the edge of the plank.

As a check, the values in that diagram should add to 33.

2+5+3+5+3+5+3+5+2 = 33

So the answer is confirmed.

Answer:

the answer is the intersection is a line

Answer:

13328 N

Step-by-step explanation:

9.8 m/s^2 • 1360 = X

13328 N = X

Answer:

[tex]x=\frac{125}{6},\\y=11[/tex]

Step-by-step explanation:

The angles marked [tex]7x-15[/tex] and [tex]5x-5y[/tex] are co-interior angles. Since all co-interior angles are supplementary (add up to 180 degrees), we have the following equation:

[tex]7x-15+5x-5y=180[/tex]

The two angles marked [tex]4x+4y[/tex] and [tex]2x+y[/tex] are also co-interior angles, thus must also add to 180 degrees.

Therefore, we have the following system of equations:

[tex]\begin{cases}7x-15+5x-5y=180,\\4x+4y+2x+y=180\end{cases}[/tex]

Combine like terms:

[tex]\begin{cases}12x-5y-15=180,\\6x+5y=180\end{cases}[/tex]

Divide the first equation by -2 and add both equations to get rid of [tex]x[/tex]:

[tex]\begin{cases}-6x+2.5y=-97.5,\\6x+5y=180\end{cases},\\-6x+6x+2.5y+5y=82.5,\\7.5=82.5,\\y=\boxed{11}[/tex]

Now substitute [tex]y=11[/tex] into any equation with [tex]x[/tex]:

[tex]6x+5y=180,\\6x+5(11)=180,\\6x+55=180,\\6x=125,\\x=\boxed{\frac{125}{6}}[/tex]

Verify that these two solutions work:

[tex](7(\frac{125}{6})-15)+(5(\frac{125}{6})-5(11))=180\:\checkmark,\\\\(4(\frac{125}{6})+4(11))+(2(\frac{125}{6})+11)=180\:\checkmark[/tex]

Answer:

ANSWER: 22

Step-by-step explanation:

hope it helps thankks

Answer:

I agree with the person above

Answer: x = 8,-2

Step-by-step explanation:

x^2-6x-16=0

x =[ -(-6)+-sqrt(-6)^2 - 4x1x(-16)/2x1

x = [6+-sqrt 36+64]/2

x = 6+-sqrt 100/2

x = 6 +-10/2

x = 6+10/2, 6-10,2

x = 8, -2

Answer:

Step-by-step explanation:

This is the quadratic equation formula for the roots.

x^2 - 6x - 16 = 0

x = [- (-6) +/- √( (-6)^2 - 4*1*-16) / 2*1

x = (6 +/- √(36 + 64) / 2

x = (6 +/- √(100) / 2

x = (6 +/- 10) / 2

x =  16/2 = 8

x = -4/2 = -2

Answer:

y = -8x-5/4: -8

y = 1/8x + 4/5: 1/8

Step-by-step explanation:

The slope is the first number after the y =

Answer: 52

Step-by-step explanation:

81 + 47 is 128.

180 - 128 =52 degrees.

:)

Answer:

348468

Step-by-step explanation:

Answer:

348,468

Step-by-step explanation:

Hope it's help you !!!!:)

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {C. \:20.25}}}}}}[/tex]

[tex]0.25, 0.75, 2.25, 6.75,20.25,..[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]0.25, 0.75, 2.25, 6.75,20.25 \\ \\ ➺ \: 0.25 \times 3 = 0.75 \\ \\ ➺ \: 0.75 \times 3 = 2.25 \\ \\ ➺ \: 2.25 \times 3 = 6.75 \\ \\ ➺ \: 6.75 \times 3 = 20.25[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

Answer:

Step-by-step explanation:

x +(x+1500) = 9400

2x + 1500 = 9400

2x = 7900

x=3950 (men)

y = 5450 (woman)

5450 :3950

109:79

Answer:

The point you are rotating at (also called the centre of rotation)

The angle of rotation (usually in degrees but I don't know your school)

Direction of the turn

Step-by-step explanation:

Answer:

19.42 ft.

Step-by-step explanation:

The diameter of the semicircle is 6, so 3.14 x 6 = 18.84. Since it is a semicircle, we divide that by 2 to get 9.42.

The hypotenuse of the right triangles only matter for the perimeter. 5 + 5 = 10, and 9.42 + 10 = 19.42 ft.

The outer perimeter is 19.42 ft.

Perimeter is the distance around the edge of a shape.

Given:

radius= 3 ft

height= 4 ft

slant height= 5 ft

diameter of the semicircle is 6 feet.

So,

= 3.14 x 6 = 18.84.

Since it is a semicircle,

=18.84/2

=9.42 feet

Now, the perimeter.

= 5 + 5 +9.42

= 19.42 ft.

Hence, the perimeter is 19.42 feet.

Learn more about perimeter here:

https://brainly.com/question/20759336

#SPJ2

Answer:

perimeter=a+b+c+d+e+f+g+h+I

x+13+3x+2+x+5+2+8+3x

CLT

x+x+3x+3x+13+2+5+2+8

8x+30

Answer: Invertible

Step-by-step explanation:

If inverse of a function exists, then the function is said to be invertible. A unique value exits for each given input.

Inverse of a function can be obtained by expressing the given function in terms of y and then replace y by x.

Answer:

y = x² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (0, 6) , let a = 1 , then

y = (x - 0)² + 6 , that is

y = x² + 6

Answer:

radius = 13

Step-by-step explanation:

OC is a perpendicular bisector of AB , then AC = 12

OA is the radius of the circle

Using Pythagoras' identity in right triangle OAC

OA² = OC² + AC²

OA² = 5² + 12² = 25 + 144 = 169 ( take the square root of both sides )

OA = [tex]\sqrt{169}[/tex] = 13

The radius = 13 units

Answer:

13

Step-by-step explanation:

AB is bisected by perpendicular OC so AB is divided into intwo two equal halves.

if AB = 24

AC =[tex]\frac{1}{2} *AB[/tex]

=[tex]\frac{1}{2} *24[/tex]

=12

no join OA and name its length as x

OA = X

OC = 5

AC = 12

when u join O and A it forms a triangle . SO to find OA lets find pythagoras theorem

OC^2 + AC^2 = OA^2

5^2 + 12^2 = OA^2

25 + 144 = OA^2

169 = OA^2

[tex]\sqrt{169}[/tex] = OA

13 = OA

radius is the line joining the centre and any point on the circumference.So here since O is the centre and A is the points on the circumference and they are joined so the line can be named as radius of a circle.

Therefore radius of a circle is 13

Answer:

2^2

Step-by-step explanation:

2^-3/2^-5

We know that a^b / a^c = a^(b-c)

2^-3/2^-5 = 2^( -3 - -5) = 2^(-3+5) = 2^2

Answer:

9.89 m

Step-by-step explanation:

AC is the hypotenuse (H)

x is the opposite (O)

O and H are in sine

sin=O/H

H=O/sin

H=7.9/sin(53)

=9.89187169943418

3 SF

9.89 m

Answer:

AC= 13.144

Step-by-step explanation:

cos ∅ =  Adjacent/ Hypotenuse

cos (53°) = x/AC

cos (53°) = 7.9/AC

(0.601).(AC)=7.9

AC=(7.9)/(0.601)

AC=  13.144 (3 S.F)

Answer:

A' (-1, 1), B' (-2,1), C'(-2, 2), D'(-1, 3)

Step-by-step explanation:

Rotate all of the points 90 degrees clockwise and move them to the second quadrant.

Answer:

82.9+38.6=121.5 miles far away.

7889 grams of jam

Step-by-step explanation:

In 5544 grams of jam, 1757 grams of sugar ==> 31.69%

let x be the grams of jam

2500 grams of sugar ==> 31.69%

x grams of jam ==> 100%

[tex]x \times 31.69\% = 2500 \\ x = 2500 \div 31.69\% \\ x = 7888.92 \: grams \\ x = 7889 \: grams \: (nearest \: whole \: number)[/tex]

Answer:

10

Step-by-step explanation:

given :

length WX ≅ (congruent means equal) length XY

therefore ,  WX = 3

WZ = WX + XZ

WZ = 3 + 7

WX = 10

Answer:

1) -3 x 3=-9

2) -3x-3=9

3)20x5=100

4) 21x-3=-63

5) -2x3x-4=24

note: negative x positive= negative

negative x negative=positive

positive x positive= positive

Step-by-step explanation:

hope this is helpful

Step-by-step explanation:

Answer:

the answer you want is number 2

Answer:

B. (7b – 9)(7b + 9)

Step-by-step explanation:

got 100% on my quiz

Answer:    The first one is y≤11 and the second question is x>16 Hope that helps Goodbye!

Step-by-step explanation:  1. Add 22 to both sides.

-13+2

−y≥−13+2

2 Simplify  -13+2−13+2  to  -11−11.

-y\ge -11

−y≥−11

3 Multiply both sides by -1−1.

y\le 11

y≤11

1 Add 22 to both sides.

6+2<\frac{x}{2}

6+2<  

2

x

​

2 Simplify  6+26+2  to  88.

8<\frac{x}{2}

8<  

2

x

​

3 Multiply both sides by 22.

8\times 2<x

8×2<x

4 Simplify  8\times 28×2  to  1616.

16<x

16<x

5 Switch sides.

x>16

x>16

Answer:

[tex]\frac{1}{243}\\[/tex]

Step-by-step explanation:

The expression of three power of five rational number with a negative exponent is;