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Elenna [48]
3 years ago
15

Rectangle ABCD ~ Rectangle WXYZ. Find the missing measurement

Mathematics
1 answer:
e-lub [12.9K]3 years ago
3 0

Answer:  14

Step-by-step explanation:

Since they are similar, that means their side lengths are proportional.

Therefore, \frac{WX}{AB} = \frac{WZ}{AD}.

We can plug in the values we know:

Let x be the missing measurement.

\frac{16}{24} =\frac{x}{21}

We can simplify 16/24 to 2/3.

2/3 = x/21.

We can cross multiply:

42 = 3x

Therefore, x = 14

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A fish tank holds at most 125 gallons of water. The tank already has 20 gallons of water in it when Ian begins to fill it at a r
Alinara [238K]

Answer:

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4 0
3 years ago
Kyle and Myles wanted to buy the soccer team food after the game.
iVinArrow [24]

Set up 2 equations:

Kyle: 5h + 3f = 14.50

Myles: 4h + 2f = 11.00

Lets get the two h's to cancel out.

Multiply Kyle by 4 and Myles by -5:

Kyle: 20h + 12f = 58

Myles: -20h - 10f = -55

Now add the two equations together:

2f = 3

Divide both sides by 2:

f = 3/2

f = 1.50

1 french fry cost $1.50

Now solve for the price of a hot dog:

5h + 3(1.50) = 14.50

5h + 4.50 = 14.50

Subtract 4.50 from both sides:

5h = 10.00

Divide both sides by 5:

h = 2

One hot dog cost $2.00

7 0
3 years ago
Solve the equation x-4/2=10
hodyreva [135]
X-4/2 = 10

x+-2=10

x-2=10

x-2+2=10+2

x=12
4 0
3 years ago
Read 2 more answers
Find the vertex of the given quadratic function.
AleksandrR [38]

Answer: Choice B. The vertex is (6,-4)

=======================================================

Work Shown:

Step 1 is to expand out (x-8)(x-4) using the FOIL rule or the box method or the distribution rule

(x-8)(x-4) = x(x-4)-8(x-4)

(x-8)(x-4) = x*x+x*(-4)-8*x-8*(-4)

(x-8)(x-4) = x^2-4x-8x+32

(x-8)(x-4) = x^2-12x+32

So (x-8)(x-4) turns into x^2-12x+32

x^2-12x+32 is the same as 1x^2+(-12x)+32 which is in the form ax^2+bx+c. We see that a = 1, b = -12, c = 32

-----------------

Use the values of a & b to find the value of h, which is the x coordinate of the vertex

h = -b/(2*a)

h = -(-12)/(2*1)

h = 12/2

h = 6

Then this is plugged back into the original function to find the y coordinate of the vertex. We can use either (x-8)(x-4) or x^2-12x+32 since they are equivalent expressions

k = y coordinate of vertex

k = f(h) = f(6) since h = 6

f(x) = (x-8)(x-4)

f(6) = (6-8)(6-4)

f(6) = (-2)(2)

f(6) = -4

note that

f(x) = x^2-12x+32

f(6) = (6)^2-12(6)+32

f(6) = 36-72+32

f(6) = -36+32

f(6) = -4

So we get the same result using either expression

So k = f(h) = f(6) = -4

Since h = 6 and k = -4, the vertex is (h,k) = (6,-4). So that's why the answer is choice B.

8 0
3 years ago
Measured in a map with a scale of 150 miles per inch, the distance from Chicago to Boston is 4.75. How many miles is it from Chi
san4es73 [151]

The actual distance from Chicago to Boston is 712.5 miles.

Step-by-step explanation:

Given,

Scale on map = 150 miles per inch

Distance from Chicago to Boston on map = 4.75 inches

Actual distance = Distance on map * 150 miles

Actual distance = 4.75 * 150

Actual distance = 712.5 miles

The actual distance from Chicago to Boston is 712.5 miles.

Keywords: scale, multiplication

Learn more about multiplication at:

  • brainly.com/question/10546617
  • brainly.com/question/10552347

#LearnwithBrainly

7 0
4 years ago
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