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PtichkaEL [24]
3 years ago
13

URGENT PLEASE HELP!!!!!!!!!!!! Quadrilateral ABCD ​ is inscribed in a circle.

Mathematics
2 answers:
sergij07 [2.7K]3 years ago
7 0
Opposite angles in a cyclic quadrilateral are equal to 180°.
Therefore,
(4x+5) + (x+15) = 180°
Collect like terms
4x+x+5+15 = 180°
5x+20 = 180
5x = 180-20
5x = 160
x = \frac{160}{5}
x = 32

A = 4x+5
A = 4(32)+5
= 128+5
= 133°
Stella [2.4K]3 years ago
4 0

I got 3.33 because I just set the problem up as

4x+5=x+15

and then I did

4x-x=3x

and then I did

15=3x+5

and then

15-5=10

and then

3x=10

then

10÷3=3.33

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Customers who purchase museum tickets in advance receive 10% off the regular admission price. Anias paid a sale price of $54. He
alisha [4.7K]

Answer:

Regular price of a ticket = $60

Step-by-step explanation:

Given:

On purchasing museum tickets in advance customers get 10% off on the regular price of ticket.

Anias paid the sale price of ticket = $54

To find the regular price of ticket.

Solution:

Let the regular price of ticket in dollars be =x

Discount offered for booking in advance = 10%

Discount amount in dollars = Discount\ percent \times Regular\ price=10% \times x =0.10 \times x =0.1x

Sale price of a ticket in dollars= Regular price - Discount amount= x-0.1x=0.9x

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So, we have:

0.9x=54

Dividing both sides by 0.9

\frac{0.9x}{0.9}=\frac{54}{0.9}

∴ x=60

∴ Regular price of a ticket = $60

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