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suter [353]
3 years ago
5

The rhombus QRST is made of two congruent isosceles triangles. Given m∠QTS = 64, what is the measure of ∠Q?

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
4 0

Answer:

The measure of Q is 116

Step-by-step explanation:

For a Rhombus, opposite angles are equal

so angle R is 64 too

Now, we should understand that the diagonals bisect the angles

So the angles in the triangle QTR are

Q + 32 + 32 = 180

Q = 180-64

Q = 116 degrees

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------------------------------------------------------------------------------

Explanation:

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there are 800 seats in the varsity theater. during regular preformances, all seats cost $12 each. It costs the owner $275 to pay
r-ruslan [8.4K]

Answer:

The correct answers are the following:

A) <u>P=12n-275 </u>

B) <u>124 </u>

C) <u>Decrease by $100 </u>

Step-by-step explanation:

A) <u>P=12n-275 </u> - Each person (n) pays $12, then the cost/expense ($275) is subtracted from the income to get the profit.

B) <u>1,213=12n-275</u>  - Plug in the value for P ($1,213).

1,488=12n  - Add $275 to both sides.

124=n  - Divide both sides by $12.

<u>n=124 </u> - This the number (n) of people that attended.

C) <u>P=12n-375 </u> - Change the value for expense to $375.

P=12(124)-375  - Plug in the value for n (124).

P=1488-375  - Simplify and find the difference.

<u>P=1,113 </u> - This is your profit.

<u>1,113-1,213=-100 </u> - $100 reduction/decrease of profit (or -$100 to profit)

Hope this helps!

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