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Georgia [21]
3 years ago
15

Identify the angle measures of PQRS.

Mathematics
1 answer:
kap26 [50]3 years ago
7 0
The opposite angles of an inscribe quadrilateral are supplementary.

angle P + angle R = 180
6x + 7 + 12x + 11 = 180
18x + 18 = 180
18x = 162
x = 9

Now we will substitute in the value of x to find angle P and R.

angle P = 6(9)+7 = 61
angle R = 12(9)+11 = 119

Now we will find the value of y.

angle Q + angle S = 180
10y + 7 + 3(3y + 7) = 180
10y + 7 + 9y + 21 = 180
19y + 28 = 180
19y = 152
y = 8

Now substitute in the value of y to find angle Q and S.

angle Q = 10(8)+7 = 87
angle S = 3(3*8+7) = 93

Hope this helps :)
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Name the property shown in the equation: 4 x (5 + 6) = (4 x 5) + (4 x 6)
Novosadov [1.4K]

The property used in the equation is called Distributive property.

<h3>What is Distributive property?</h3>

The distributive Property States that when a factor is multiplied by the sum/addition of two terms, it is essential to multiply each of the two numbers by the factor, and finally perform the addition operation.

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The property used in this equation is distributive property.

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For more references on Distributive property, click;

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The population of a town is 81,712 and declines continuously at a rate of 4.1% each year. What is the approximate population of
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P (Final population) = ?
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Answer:
B) 24759

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