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Yuri [45]
4 years ago
5

7: In the rhombus, m∠1=10x, m∠2=x + y, and m∠3= 5z. Find the values of x, y, and z.

Mathematics
1 answer:
malfutka [58]4 years ago
7 0
Angles 1, 2, and 3 are all 90°.

10x = 90
.. x = 9

x +y = 90
.. y = 81

5z = 90
.. z = 18

The values of (x, y, z) are (9, 81, 18).

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Please help me out and make sure to show your work! thanks
Sauron [17]

Answer:

1075 sq ft

Step-by-step explanation:

There are a few ways to do this but I am only going to show one.

35 x (25 + 8) - (5 x 8 + 8 x 5) = 1155 - 80 = 1075

8 0
3 years ago
The Astronomical Telescope shop plans to introduce a new model based on the following information: Rent and utilities per period
dimaraw [331]

Using the profit concept, it is found that the break-even point is of 61.6 units.

  • Profit is given by revenue subtracted by cost.
  • The break-even point is when the revenue is the same as the cost, which means that the profit is zero.

In this problem:

  • Variable cost per unit x of $217, fixed cost of $5,420, thus, the cost equation is given by:

C(x) = 217x + 5420

Selling price per unit of $305, thus, the revenue equation is given by:

R(x) = 305x

The break-even point is the <u>value of x</u> for which:

R(x) = C(x)

Then

305x = 217x + 5420

88x = 5420

x = \frac{5420}{88}

x = 61.6

The break-even point is of 61.6 units.

A similar problem is given at brainly.com/question/4001746

5 0
3 years ago
I need some help, pls
yKpoI14uk [10]

Answer:

5/2

Step-by-step explanation:

<u>Rise</u> = <u>5</u>

Run    2

Now, with that,  our y intercept is -6 because the line hits the y axis at -6 units. Then, we can setup our own equation for y=

and that is y=5/2 x -6

Then I have attached a graph below to certify my answer.

5 0
3 years ago
Joe the trainer has two solo work out plans That he offers his clients. Plan A and Plan B. Each client does either one or the ot
Zinaida [17]

Answer: plan A lasts for 0.5 hour. Plan B lasts for 0.75 hour.

Step-by-step explanation:

Let x represent the duration of plan A.

Let y represent the duration of plan B.

On Friday there were 3 clients who did plan A and 2 who did Plan B.

Joe trained his Friday clients for a total of 3. It means that

3x + 2y = 3- - - - - - - - - -1

On Saturday there were 5 clients who did plan A and 6 who did plan B. Joe trained his Saturday clients for a total of 7 hours. It means that

5x + 6y = 7- - - - - - - - - 2

Multiplying equation 1 by 5 and equation 2 by 3, it becomes

15x + 10y = 15

15x + 18y = 21

Subtracting, it becomes

- 8y = - 6

y = - 6/-8

y = 0.75

Substituting y = 0.75 into equation 1, it becomes

3x + 2 × 0.75 = 3

3x + 1.5 = 3

3x = 3 - 1.5 = 1.5

x = 1.5/3

x = 0.5

3 0
3 years ago
Find the derivative of f(x) = negative 5 divided by x at x = 11.
Yuki888 [10]
I want to believe the equation is,
 f(x) = -5/x
This can be written as;

f(x)  = y

y = -5 x⁻¹
derivative = dy/dx = (-1)(-5)x(⁻1-1)
                              = 5x⁻²
 
Derivative at x=11, 

dy/dx = 5(11)⁻²
         = 5/(11²)
         = 5/121

So, the derivative of  f(x) = -5/x at x=11 is 5/121.




6 0
4 years ago
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