Given ∆PRS ≅ ∆CFH, find the values of x, y, and z.<br><br>x=<br>y=<br>z=

Amanda [17]

28/36 has a greatest common factor of 4.
So, yo can divide the top and bottom by 4.

28 divided by 4/36 divided by 4
7/9

The answer is 7/9

7 0

3 years ago

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1. The coordinates of WXYZ are W(-6, -1), X(-5, -3), Y(-2, 3), and Z(-3, 1). After a translation 8 units

Anna71 [15]

Answer:

The coordinates of the image are

W'(2,-4)

X'(3,-6)

Y'(6,0)

Z'(5,-2)

Step-by-step explanation:

we know that

The translation is 8 units right and 3 units down

so

The rule of the translation is

(x,y) ----> (x+8,y-3)

Apply the rule of the translation to the coordinates of the pre-image WXYZ to obtain the coordinates of the image W'X'Y'Z'

coordinate W'

W(-6, -1) ----> W'(-6+8,-1-3)

W(-6, -1) ----> W'(2,-4)

coordinate X'

X(-5, -3) ----> X'(-5+8,-3-3)

X(-5, -3) ----> X'(3,-6)

coordinate Y'

Y(-2, 3) ----> Y'(-2+8,3-3)

Y(-2, 3) ----> Y'(6,0)

coordinate Z'

Z(-3, 1) ----> Z'(-3+8,1-3)

Z(-3, 1) ----> Z'(5,-2)

therefore

The coordinates of the image are

W'(2,-4)

X'(3,-6)

Y'(6,0)

Z'(5,-2)

8 0

4 years ago

Rosalie is organizing a circus performance to raise money for a charity. She is trying to decide how much to charge for tickets.

Ray Of Light [21]

Answer:

she should charge $7.395 per ticket in order to make the most money.

Step-by-step explanation:

From the given information:

If Rosalie charges $5 then 1175 people will attend the circus performance

If Rosalie charges $7 then 935 people will attend the circus performance

Let x be the cost and y to be the number of people that will attend the performance . Then, we will have two points which are;

(5, 1175) and (7, 935)

The slope(m) of this points = $\dfrac{\Delta y}{\Delta x}$

= $\dfrac{y_2-y_1}{x_2-x_1}$

$=\dfrac{935-1175}{7-5}$

Slope (m) = $\dfrac{-240}{2}$

Slope (m) = -120

However; we can now have the linear equation:

$y-y_1 = m(x-x_1)$

$y-1175= -120(x-5)$

$y-1175= -120x+600$

$y= -120x+600+1175$

$y= -120x+1775$

The linear function is : y = -120x + 1775

Now; the total amount of money she can now earn is:

f(x) = xy

f(x) = x(-120x + 1775)

f(x) = -120x² + 1775x

The above expression is a quadratic equation; Using the quadratic formula; we have:

$=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$

where; a = -120 ; b = +1775 and c = 0

$=\dfrac{-(1775) \pm \sqrt{(1775)^2-4(-120)(0)}}{2(-120)}$

$=\dfrac{-(1775) + \sqrt{(1775)^2-4(-120)(0)}}{2(-120)} \ \ \ \ \ OR \ \ \ \ \dfrac{-(1775) -\sqrt{(1775)^2-4(-120)(0)}}{2(-120)}$

$=\dfrac{-(1775) + \sqrt{(1775)^2}}{(-240)} \ \ \ \ \ OR \ \ \ \ \dfrac{-(1775) -\sqrt{(1775)^2}}{(-240)}$

$=\dfrac{-(1775) + (1775)}{(-240)} \ \ \ \ \ OR \ \ \ \ \dfrac{-(1775) - (1775)}{(-240)}$

$=\dfrac{0}{(-240)} \ \ \ \ \ OR \ \ \ \ \dfrac{-3550}{(-240)}$

= 0 OR 14.79

Since; we are considering the value greater than zero

x = 14.79

maximum value of x = 14.79/2 = 7.395

Thus ; she should charge $7.395 per ticket in order to make the most money.

6 0

3 years ago

Carlos used 6 boards to build 2/3 of a front porch. How many boards will Carlos use to build the whole porch? Express your answe

antiseptic1488 [7]

Answer:

9 boards

Step-by-step explanation:

2/3 of the porch= 6 boards

so to figure out how much one third of the porch needs you find half of what it takes to fill in 2/3 of the porch and you get 3.

so 3=1/3 of the porch

then you simply do 3times 3 or 3+3+3 and you get 9

so it takes 9 boards to fill the whole porch

8 0

3 years ago

How do you change 24/7 into a mixed number

lesya692 [45]

Answer: 3 and 3/7
explanation:

7 0

3 years ago

Read 2 more answers

Given ∆PRS ≅ ∆CFH, find the values of x, y, and z.x=y=z=​

Given ∆PRS ≅ ∆CFH, find the values of x, y, and z.x=y=z=