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kobusy [5.1K]
2 years ago
14

Solve the math problem

Mathematics
1 answer:
Marianna [84]2 years ago
3 0

Answer:

<1 = 109 (Vertically Opposite to <3)

<2 = 71 (Corresponding to <6)

<3 = 109

<4 = 71 (Alternate Interior to <6)

<5 = 109 (Alternate Interior to <3)

<6 = 71

<7 = 109 (Corresponding to <3)

<8 = 71 (Vertically Opposite to <6)

Step-by-step explanation:

<1 = 2x + 29

<2 = x + 31

<3 = 2x + 29

<4 = x + 31

<5 = 2x + 29

<6 = x + 31

<7 = 2x + 29

<8 = x + 31

<1 + <2 = 180

(2x + 29) + (x + 31) = 180

(2x +x) + (29 + 31) = 180

3x + 60 = 180

3x = 180 - 60 = 120

x = 120/3

x = 40

<1 = (2x + 29)

   = (2 * 40) + 29

   = 80 + 29

   = 109

<2 = x + 31

    = 40 +31

    = 71

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PilotLPTM [1.2K]

You have to multiply the price by the quantity and you will find the total cost.

1.43 * 22 = 31.46

8 0
3 years ago
Can somebody help me solve for x?
Dahasolnce [82]

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y^2 = 24^2 + 15^2

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7 0
3 years ago
A flower has ten pedals.During a storm,five of the pedals fall off.Write a decimal to show what part of the pedals is left
olga nikolaevna [1]
The answer is .5 meaning half (1/2) of the petals fell off.
7 0
3 years ago
Calvin works at a facility which processes apples. It costs the facility $0. 68 to make either a jar of applesauce or a bottle o
NNADVOKAT [17]

The number of bottles the facility requires to sell when it breaks is given by

a system of two simultaneous equations.

  • When the facility breaks even, it would have sold 7<u>7,579 bottles of apples juice</u>.

Reasons:

The cost to make a jar of applesauce or a bottle of apple juice = $0.68

Number of jars of applesauce to be sold foe every 2 bottles of apple juice = 3 jars

The selling price for a jar of applesauce = $2.20

Selling price for a bottle of apple juice = $3.15

Annual overhead cost excluding production cost = $368,500

Required: Number of bottles of apple juice sold by the facility when it breaks even annually.

Solution:

Let <em>J</em> represent the number of bottles of apple juice sold, and let <em>S</em> represent the number of jars of apple sauce, by excluding the production cost, we have;

(3.15 - 0.68)·J + (2.2 - 0.68)·S = 368,500

S : J = 3 : 2

Which gives;

\displaystyle \frac{S}{J} = \mathbf{ \frac{3}{2}}

\displaystyle S= \frac{3}{2} \cdot J

Therefore;

\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot S = (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot  \frac{3}{2} \cdot J = \mathbf{368,500}

Which gives;

\displaystyle  (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot  \frac{3}{2} \cdot J = \mathbf{ \frac{19 \cdot J }{4} } =  368,500

\displaystyle  J  =   \frac{368,500 \times 4}{19}  = \frac{1474000}{19}=77578\frac{18}{19}  \approx 77,579

The number of bottles of apple juice sold, J ≈ <u>77,579 bottles</u>

Learn more about simultaneous equations here:

brainly.com/question/10724274

7 0
2 years ago
I need to find the area of the shaded region, but I need detailed steps
olasank [31]
The shaded region is a parallelogram.

The formula for the area of any parallelogram is A=bh.

The base of the parallelogram is 2 meters long (given).

The height of the parallelogram is 9 meters (do not be fooled by the unnecessary information of 14 meters)
The height is 9 meters because the height has to be perpendicular to the base. Thus, the side length must be 9 meters.

Multiply them together.

2 \times 9 = 18

The area of the parallelogram is 18 square meters.
7 0
3 years ago
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