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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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The y-intercept is obtained when we equate x to 0, where x is the number of songs bought. Thus, before buying any songs, $6 have to be paid. This is the cost of joining the the music club. The second statement is true.
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3 years ago
Line segment CD has a length of 3 units. It is translated 2 units to the right on a coordinate plane to obtain line segment C′D′
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A clothing business finds there is a linear relationship between the number of shirts, Q ,it can sell and the price, P , it can
Vlad [161]

Answer:

P = -0.004Q + 149

Step-by-step explanation:

The general form of the linear equation is:

P=aQ+b

The slope of the equation (a) can be found by using the two given points (4,000; $133) and (27,000; $41)

a = \frac{\$41-\$133}{27,000-4,000}\\a=-0.004

Applying the point (4,000; $133) to the equation below yields in the linear equation for Price as a function of the number of shirts:

P-P_0=a(Q-Q_0)\\P-133=-0.004(Q-4,000)\\P = -0.004Q+149

The linear equation is:

P = -0.004Q + 149

8 0
2 years ago
There are 120 Calories in a 34-cup serving of cereal. How many Calories are there in 6 cups of cereal? Enter your answer in the
Ilya [14]
Answer: 21.17 (22 rounded)

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3.529 x 6 cups = 21.17

hope this helps :)
7 0
3 years ago
Question 1(Multiple Choice Worth 3 points)
frez [133]

Answer: D) 99 Points

Step-by-step explanation: Theresa earned scores of 88 points, 84 points, 88 points, and 91 points on four tests

Therefore the totals points are 351

351 is her total score for 4 tests, if she gets an average score of 90 on her fifth test then all we have to do is:

5 x 90 = 450 (The 5 being her fifth test)

450-351 = 99

Option D

3 0
2 years ago
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