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Fantom [35]
2 years ago
10

Quadrilateral OPQR is inscribed in circle N, as shown below. Which of the following could be used to calculate the measure of ∠P

QR?
Circle N is shown with a quadrilateral OPQR inscribed inside it. Angle O is labeled x plus 16. Angle P is not labeled. Angle Q is labeled 6x minus 4. Angle R is labeled 2x plus 16.

(6x − 4)° + (2x + 16)° = 180°
(x + 16)° + (6x − 4)° = 180°
(6x − 4)° + (2x + 16)° = 360°
(x + 16)° + (6x − 4)° = 360°
Mathematics
2 answers:
Anna [14]2 years ago
8 0

The equation to be used to calculate the measure of ∠PQR in the cyclic quadrilateral is: (6x − 4)° + (2x + 16)° = 180°.

<h3>What are Opposite Angles in a Cyclic Quadrilateral?</h3>

A cylcic quadrilateral is a quadrilateral inscribed in a circle. The opposite angles are supplementary, that is they add up to give 180 degrees.

Thus, angles Q and O are opposite angles in the cyclic quadrilateral, which means they are supplementary.

Therefore, the equation to be used to calculate the measure of ∠PQR in the cyclic quadrilateral is: (6x − 4)° + (2x + 16)° = 180°.

Learn more about cyclic quadrilateral on:

brainly.com/question/10057464

sammy [17]2 years ago
5 0

Answer:

I just took the quiz and the answer above is NOT correct.

Step-by-step explanation:

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On a lunch counter, there are 3 oranges, 5 apples, and 2 bananas. If 3 pieces of fruit are selected, find the probability that 1
muminat

Answer:

Probability = \frac{1}{24}

Step-by-step explanation:

Given

Oranges = 3

Apples = 5

Banana = 2

Total = 10

Required

Determine the probability of 1 orange, 1 apple and 1 banana

Since, order is not important:

Probability = P(Orange) * P(Apple) * P(Banana)

Probability = \frac{3}{10} * \frac{5}{9} * \frac{2}{8}

<em>The difference in the numerator is as a result of picking the fruit without replacement</em>

Probability = \frac{30}{720}

Probability = \frac{1}{24}

6 0
2 years ago
Number sequences<br> what are the cube numbers after 64 :64,....
leva [86]
How many do you want ?  There are an infinite number of them.
You can find a huge number of them with your calculator
Here are a few (2 for each point I'll earn):

5³ = 125
6³ = 216
7³ = 343
8³ = 512
9³ = 729
10³ = 1,000
11³ = 1,331
12³ = 1,728
13³ = 2,197
14³ = 2,744
.
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etc.
8 0
3 years ago
I just this one please someone help
Step2247 [10]

Answer:

100

Step-by-step explanation:

because 4, 3, and 2 all make 180 and 4 and 2 are both 40 so you add that which makes 80 and then you take 180 and subtract 80 which gives you 100

6 0
3 years ago
Read 2 more answers
-5/4x - 2)=-2(3 +6x)
Alex

Answer:

x = (-16)/43

Step-by-step explanation:

Solve for x:

(-5 x)/4 - 2 = -2 (6 x + 3)

Put each term in (-5 x)/4 - 2 over the common denominator 4: (-5 x)/4 - 2 = (-5 x)/4 - 8/4:

(-5 x)/4 - 8/4 = -2 (6 x + 3)

(-5 x)/4 - 8/4 = (-5 x - 8)/4:

(-5 x - 8)/4 = -2 (6 x + 3)

Multiply both sides by 4:

(4 (-5 x - 8))/4 = -2×4 (6 x + 3)

(4 (-5 x - 8))/4 = 4/4×(-5 x - 8) = -5 x - 8:

-5 x - 8 = -2×4 (6 x + 3)

4 (-2) = -8:

-5 x - 8 = -8 (6 x + 3)

Expand out terms of the right hand side:

-5 x - 8 = -48 x - 24

Add 48 x to both sides:

48 x - 5 x - 8 = (48 x - 48 x) - 24

48 x - 48 x = 0:

48 x - 5 x - 8 = -24

48 x - 5 x = 43 x:

43 x - 8 = -24

Add 8 to both sides:

43 x + (8 - 8) = 8 - 24

8 - 8 = 0:

43 x = 8 - 24

8 - 24 = -16:

43 x = -16

Divide both sides of 43 x = -16 by 43:

(43 x)/43 = (-16)/43

43/43 = 1:

Answer:  x = (-16)/43

8 0
3 years ago
What is the area of a circle with radius of 3 inches? Use pie =3.14 A .18.84 square roots B .28.26 square roots C .9.42 square r
tatiyna

Answer:

B. 28.26

Step-by-step explanation:

First you have to find the circumference:

R²= 3²=9

Then you multiply your circumference by 3.14 to get you answer:

9·3.14=28.26

3 0
3 years ago
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