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ankoles [38]
2 years ago
8

In the parallelogram above, BE= 7x-12, CE=10x-5, and DE= 3x+4. What is the length of BD​

Mathematics
1 answer:
kompoz [17]2 years ago
3 0

ABCD is a parallelogram ⇒ BE = DE

So: 7x - 12 = 3x + 4

⇔ 7x - 3x = 4 + 12

⇔ 4x = 16

⇔ x = 16/4 = 4

⇒ BE = 7(4) - 12 = 28 - 12 = 16

⇒ DE = 3(4) + 4 = 12 + 4 = 16

⇒ BD = BE + DE = 16 + 16 = 32

Answer: BD = 32

Ok done. Thank to me :>

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8.4 gallons of gas for $23.94. Which equation can be used to determine the price of each gallon of gas?
mojhsa [17]
Here is the equation: (gas=g)

8.5g= 23.94

All you need to do is the inverse of multiplication on the other side. (division)

23.94/8.5= 2.81647.....

g= 2.82 (rounded to the hundredths place)

I hope this helps!
~kaikers
6 0
4 years ago
It has to do with slopes or something ​
Ostrovityanka [42]
What is it that I am supposed to be doing?
4 0
3 years ago
If m&lt;7 is 2x + 30 and m&lt;28 is 3x - 10, find the<br> following:
topjm [15]

Answer:

x = 32

m∠7 = 94

m∠8 = 86

m∠3 = 94

Step-by-step explanation:

(2x + 30) + (3x - 10) = 180

5x + 20 = 180

5x = 160

x = 32

m∠7 = 2(32) + 30 = 94

m∠8 = 3(32) - 10 = 86

<u>or</u>

m∠8 = 180 - 94 = 86

<u>m∠3 ≈ m∠7</u> (corresponding angles)

3 0
3 years ago
Some members of the cooking club are making cakes which they will sell at a street fair for $10 apiece. It costs $10 for a booth
Alika [10]

Answer:

The cooking club sales covers the expenditure when 2 piece of cakes are sold.

Step-by-step explanation:

Given:

Selling price of each piece of cake = $10

Cost for booth at fair = $10

Ingredients for each piece of cake = $5

We need to find the number of pieces of cake sold when the sales cover the expenditures.

Solution:

Let the number of pieces be 'x'

So We can say that the point at which the sales cover the expenditures can be calculated as Selling price of each piece of cake multiplied by number of pieces will be equal to Cost for booth at fair plus Ingredients for each piece of cake multiplied number of piece of cakes.

framing in equation form we get;

10x =10+5x

Now Subtracting both side by '5x' using Subtraction property we get;

10-5x=10+5x-5x\\\\5x=10

Now Dividing both side by 5 we get;

\frac{5x}{5}=\frac{10}{5}\\\\x=2

Hence The cooking club sales covers the expenditure when 2 piece of cakes are sold.

7 0
3 years ago
Jenna and Mike are given two points of a triangle, A(-2,-4) and B(8,6).
Taya2010 [7]

Answer: B) neither Jenna and Mike are correct.

Step-by-step explanation: If you calculate the distance between points B and A, then the points that Mike and Jenna gave, all of the sides would be different.

4 0
2 years ago
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