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Arturiano [62]
3 years ago
7

Quadrilateral ABCD is inscribed in circle Pas shown. Which statement is necessarily true?

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
5 0

Given:

Quadrilateral ABCD is inscribed in a circle P.

To find:

Which statement is necessarily true.

Solution:

Quadrilateral ABCD is inscribed in a circle P.

Therefore ABCD is a cyclic quadrilateral.

In cyclic quadrilateral, opposite angles form a supplementary angles.

⇒ m∠A + m∠C = 180° --------- (1)

⇒ m∠B + m∠D = 180° --------- (2)

By (1) and (2),

⇒ m∠A + m∠C = m∠B + m∠D

This statement is necessarily true for the quadrilateral ABCD in circle P.

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A laptop computer was marked up 100% from an original cost of $740. Last Friday, Judy bought the laptop computer and paid an add
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Answer:

$1628

Step-by-step explanation:

A laptop computer was marked up 100% from an original cost of $740.

Marked up price = 100% of $740

= $740

Current price of the Laptop = Initial price of the Laptop + Marked up price

= $740 + $740

= $1480

Last Friday, Judy bought the laptop computer and paid an additional 10% in sales tax. What was her total cost?

Sales tax = 10% of the cost of laptop

= 10% × $1480

Sales tax = $148

Judy's total cost = Price of the Laptop + Sales tax

= $1480 + $148

= $1628

5 0
3 years ago
Exactly how many 3/4 are in 6?
Novay_Z [31]
The answer is 8 3/4 is the answer
7 0
2 years ago
Divide.<br><br> −445÷4<br><br><br> ​−115​<br><br> ​​−45<br><br> 45<br><br> ​​115
Anestetic [448]

Answer:

-1 1/5

Step-by-step explanation:

<em>Change the whole number 4 to an improper fraction</em>

-4 4/5 ÷ 4/1 = -4 4/5 ÷ 4/1

<em>Reciprocal the 4/1 will become 1/4 then go to multiplication</em>

-4 4/5 ÷ 4/1 = -4 4/5 × 1/4

<em>Change to improper fraction the -4 4/5</em>

-4 4/5 ÷ 4/1 = -24/5 × 1/4

<em>Then simply multiply the two numerators and the two denominators</em>

-4 4/5 ÷ 4/1 = -24/20

<em>Finally, Simplify it to get the answer</em>

-4 4/5 ÷ 4/1 = -1 1/5

4 0
3 years ago
Dimtry bought a pair of pants at the discounted price of $30. The original price of the pants was $40. What was the percent of t
AVprozaik [17]

Answer:

25%

Step-by-step explanation:

Say we start from the beginning with $40. If the pants are discounted but we don't know the percent discount, then we need a variable, x:

40 - x% * 40 = 30

The total is 40. When we take a discount off of 40, we are taking a percent of 40 and subtracting that from 40. From the problem, this should be 30. Thus, the equation above.

Add x%*40 to both sides and subtract 30 from both sides:

x%*40 = 10

Divide by 40:

x% = 1/4 = 0.25

Multiply each side by 100:

x = 25

The answer is 25%.

5 0
3 years ago
Which of the following is a pair of vertical angles ?
nikklg [1K]
Vertical angles<span> are the angles opposite each other when two lines cross, so 
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5 0
3 years ago
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