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Veseljchak [2.6K]
3 years ago
11

Figure ABCD is a parallelogram.

Mathematics
2 answers:
bogdanovich [222]3 years ago
6 0
A = C (congruent angles)

Then: 4p+12 = 36

Solve for p

4p = 36 - 12

4p = 24

4p/4 = 24/4

p = 6

Answer is going to be A.
raketka [301]3 years ago
6 0

Answer:

The value of p is 6

Step-by-step explanation:

Given : A Parallelogram ABCD with ∠C = 36° and ∠A = (4p + 12)°

To find : Value of p

Solution :

Refer the figure

We can see that ∠A and ∠C are opposite angles .

Now using the property of Parallelogram i.e. Opposite angles of Parallelogram are equal

Thus, ∠A = ∠C

⇒(4p + 12)° = 36°

⇒4p = 36-12

⇒4p = 24

⇒p = 24/4

⇒p = 6

Thus, The value of p is 6

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A local hamburger shop sold a combined total of 578 hamburgers and cheeseburgers on Tuesday. There were 72 fewer cheeseburgers s
andreev551 [17]
Let h be hamburgers and c be cheeseburgers.
We know that h + c = 578
We also know that c + 72 = h
This gives us a system of equations we can solve. My preferred method to solve systems is substitution, where we solve one equation for one of the variables, then substitute that solution in the other equation, reducing it to a single variable equation. One of the equations already equals h, so we can go straight into the sub part.
h + c = 578
(c + 72) + c = 578
c2 = 506
c = 253
Finally, we go back to the other equation and solve for h.
c + 72 = h
253 + 72 = h
325 = h
So, total there were 253 cheeseburgers sold, and 325 hamburgers sold.
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4 years ago
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madreJ [45]
I think you may have forgotten to give the rest of the question
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3 years ago
One way to build a staircase is to attach triangular blocks to an angled support, as shown above. If the support makes a 32 angl
blsea [12.9K]
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An ice cream shop is testing some new flavors of ice cream. They invent 252525 new flavors for customers to try, and throw out t
navik [9.2K]

Answer:

Total <u>480 liters</u> of ice cream is in the cartons.

Step-by-step explanation:

Given:

An ice cream shop is testing some new flavors of ice cream. They invent 25 new flavors for customers to try, and throw out the 13 least popular flavors. The shop makes 80 cartons of each of the remaining flavors. It takes 2 cartons to get one liter of ice cream.

Now, to find the total ice cream in the cartons.

The ice cream shop invent new flavors = 25.

And ice cream shop throw out least popular flavors = 13.

So, to get the remaining ice cream we subtract quantity of flavors ice cream shop throw out from the quantity of flavors ice cream shop invent:

25-13=12.

Thus, the remaining flavors = 12.

<em>According to question, the shop makes 80 cartons of each of the remaining flavors. And it takes 2 cartons to get one liter of ice cream.</em>

So, we get the unit rate of liter per carton:

If, 2 cartons contain 1 liter.

Then, 1 carton contain = \frac{1}{2} =0.5\ liter.

<u><em>Total quantity of ice cream per carton = 0.5 liter</em></u>

<u><em>Total number of cartons = 80.</em></u>

<u><em>Total flavors of ice cream = 12.</em></u>

Now, to get the total ice cream in the cartons we multiply total quantity of ice cream per carton by total number of cartons by total flavors of ice cream:

0.5\times 80\times 12\\\\=480\ liters.

Therefore, total 480 liters of ice cream is in the cartons.

7 0
3 years ago
My mum has saved £12,000 would it be better to have a 1/5 or 1/10
alexgriva [62]
It would be better to have 1/5.
Because 12,000/5=2,400 and 12,000/10=1,200
7 0
3 years ago
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