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romanna [79]
3 years ago
14

The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 12 cm, the length of a radius of the circle i

s 5 cm. Find the area of the quadrilateral
Mathematics
1 answer:
nasty-shy [4]3 years ago
8 0

Answer:

60cm^2

Step-by-step explanation:

We assume that is a circumscribing quadrilateral, rather than one that is circumscribed. It is also called a "tangential quadrilateral" and its area is ...

 K = sr

where s is the semi-perimeter, the sum of opposite sides, and r is the radius of the incircle.

 K = (12 cm) (5cm) = 60 cm²

_____

A quadrilateral can only be tangential if pairs of opposite sides add to the same length. Hence the given sum is the semiperimeter.

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on a recent survey, 90% of those surveyed indicated they preferred walking to running. If 130 people preferred running to walkin
maks197457 [2]

Answer:

<u>145 people were surveyed</u>

Step-by-step explanation:

1. Let's review the information given to answer the question correctly:

Percentage that indicated they preferred walking to running = 90%

2.  If 130 people preferred running to walking, how many people where surveyed?

For answering this question, we will use the Rule of Three simple, this way:

x = Number of people surveyed

90 * x = 130 * 100

90x = 13,000

x = 13,000/90

x = 144.44

But we need a whole number for an accurate answer, so we round the value of x to the next whole number.

<u>145 people were surveyed</u>

8 0
3 years ago
Which one is correct?
nordsb [41]

Answer:

SSS or SAS

Step-by-step explanation:

Remark

Since the two diagonals bisect each other, you have created two sets of equal lines. If that is the case, then you could prove the equality of the triangles 2 different ways.

1) The angles at the center are vertically angles which makes them equal. Since they are equal, the triangles are congruent by SAS. Notice that the angle is between the 2 equal sides.

2) Since CD and AB are marked as being equal, the triangles are congurent by SSS.

6 0
3 years ago
Select the two answer choices that apply.
Lemur [1.5K]

Answer:

its a

Step-by-step explanation:

6 0
3 years ago
Give three examples of how percents are used in the real world????
horsena [70]
When you go to stores and it advertises 25% off or something like that is a big one. tipping 15% or 20% is another application. a third would maybe be the interest you earn on a bank account??
6 0
4 years ago
Read 2 more answers
Length of a rectangle is 4 inches less than twice it’s width of the perimeter is 70 inches what’s the dimensions?
Vedmedyk [2.9K]
W= width
L= length= 2W-4
Perimeter= 70

FIND WIDTH:
P= 2(L + W)
P= 2L + 2W
substitute 2W-4 for L
70= 2(2W-4) + 2W
multiply 2 by all in parentheses
70= (2*2W) + (2*-4) + 2W
70= 4W - 8 + 2W
combine like terms
70= 6W - 8
add 8 to both sides
78= 6W
divide both sides by 6
13= W

FIND LENGTH:
substitute w=13 to find width
L= 2W-4
L= 2(13)-4
L= 26-4
L= 22

CHECK:
P= 2(L + W)
70= 2(22 + 13)
70= (2*22) + 2(13)
70= 44 + 26
70= 70

ANSWER:
length= 22 inches
width= 13 inches

Hope this helps! :)
3 0
3 years ago
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