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USPshnik [31]
2 years ago
9

Please solve for x please use statement reason

Mathematics
1 answer:
nataly862011 [7]2 years ago
8 0

AE || BC

===》 DCB angle = DAE angle

AC /

__________________________________

Thus :

DCB angle = x

And also we know that the submission of interior angles of any triangle must equals to 180 degrees so :

In BCD triangle :

B + C + D = 180

x + x + D = 180

D = 180 - 2x

__________________________________

In the other hand we know that :

BDC angle + BDA angle = 180

because they make a straight line together so ;

180 - 2x + 50 = 180

- 2x = 180 - 230

- 2x = - 50

x = 25

And we're done...

Have a great time ♡

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Answer;

Total profit is $18000

Step-by-step explanation:

Given in question

Number of unit is <em>1000</em>

Average revenue is <em>$100</em>

Average total cost is<em> </em><em>$80</em>

Fixed cost is <em>$2000</em>

Total revenue = average revenue \times number of unit

Total revenue = $100 \times 1000=$100000

Total input cost = total cost + fixed cost

Total cost = average cost \times total unit

Total cost =$80 \times 1000 = $80000

Total input cost = $80000 + $2000 = $82000

Profit = total revenue-total cost

Profit = $100000 - $82000 = $18000

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8 0
4 years ago
The composite figure is made up of a parallelogram and a rectangle. Find the area.
MAXImum [283]

Answer: A. 76 sq. units


Step-by-step explanation:

1. You can use the following formula for calcualte the area of the parallelogram:

A_p=b_p*h_p

Where b_p is the base and  h_p is the height of the parallelogram

b_p=14units-3units-3units=8units and h_p=6units

2. The formula for calculate the area of a rectangle is:

A_r=b_r*h_r

Where  b_r is the base and  h_r is the height of the rectanngle.

b_r=14units  and h_r=2units  

3. Then, the area of the figure is the sum of the area of the parallelogram and the area of the rectangle:

A_f=(8units*6units)+(14units*2units)=76units^{2}


5 0
4 years ago
a banana contains 105 calories.last week,brendan and lea ate a total of 14 bananas.how many calories does this represent?
Crank
Well if they ate a total of 14 bananas and each banana is 105 calories, that means that you have to multiply 105 calories by 14 bananas. The answer is 1470 calories.
8 0
3 years ago
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Martina has a rectangular poster that is 12 centimeters long and 10 centimeters wide. What is the area of the poster in square m
erastova [34]

Answer:

120m²

Step-by-step explanation:

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3 years ago
Please can anybody help me with this:<br> Show that (x − 9)(x − 1) ≡ x^2 − 10x + 9
DanielleElmas [232]

        We will expand the factored form of (x − 9)(x − 1) into the same form as x² − 10x + 9 to show they are equal.

Distribute and multipy out:

(x − 9)(x − 1)

x * x = x²

x * -1 = -x

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Add together:

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Use the Reflexive property:

x² − 10x + 9 = x² − 10x + 9 ✓

4 0
2 years ago
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