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kirill [66]
4 years ago
14

ABCD is a quadrilateral inscribed in a circle, as shown below: Circle O is shown with a quadrilateral ABCD inscribed inside it.

Angle A is labeled x plus 16. Angle B is labeled x degrees. Angle C is labeled 6x minus 4. Angle D is labeled 2x plus 16. What equation can be used to solve for angle C? (x + 16) + (x) = 180 (x + 16) + (6x − 4) = 180 (x + 16) − (2x + 16) = 180 (x + 16) + (x) = 90
Mathematics
1 answer:
kogti [31]4 years ago
5 0

Answer:

B. (x + 16) + (6x − 4) = 180

Step-by-step explanation:

The Cyclic Quadrilateral Theorem states that for a quadrilateral in a circle, the opposite angles will equal 180 degrees. So therefore you can conclude:

∠A + ∠C = 180° which would be (x + 16) + (6x - 4) = 180°

∠B + ∠D =180° which would be x + (2x - 16) = 180°

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Need help with step by step explanation pls
sesenic [268]

Answer:

5 \sqrt{2}

Step-by-step explanation:

\sqrt{50}  -  \sqrt{32}  + 2 \sqrt{8}  \\ 5 \sqrt{2}  - 4 \sqrt{2}  + 4 \sqrt{2}  \\  \sqrt{2}  + 4 \sqrt{2} \\ 5 \sqrt{2}

5 0
3 years ago
The coordinates of the vertices of △GHI are G(−7,2), H(−2,2), and I(−2,8). Find the side lengths to the nearest hundredth and th
adelina 88 [10]

Answer:

GH = 5, HI = 6, GI ≈ 7.81

m∠H = 90°, m∠G ≈ 50°, m∠I ≈ 40°

Step-by-step explanation:

4 0
3 years ago
There are 30 female performers in a dance recital. The ratio of men to women is 4:5. How many men are in the dance recital?
KATRIN_1 [288]
24 you take 30 and multiply it by 4 and then divide it by 5
5 0
3 years ago
At what gas station dose gas cost the least per gallon
myrzilka [38]
To calculate each of these, divide the number of gallons into the total cost for each gas station.

E) $21.18/6= $3.53 per gallon
F) $28.32/8= $3.54 per gallon
G) $35.60/10= $3.56 per gallon
H) $42.60/12= $3.55 per gallon

Gas cost the least at gas station E) $3.53 per gallon


Hope this helped!  :)
3 0
4 years ago
There are thirteen animals in a barn. Some are chickens and some are pigs there are 40 legs in all. How many of each animal are
slega [8]
Hi. In order to solve this word problem, you must make two equations and solve them together. To make it easy, we will let the letter "p" represent the pigs and the letter "c" for the chickens. So our first equation will be:

p + c = 13

Now to count the legs - we know that pigs have 4 legs and chickens have 2 so our next equation will be:

2c + 4p = 40

Using the first equation we see that c = 13 - p Now we insert this into the second equation and solve:

2x(13-p) +4 pm = 40
26 - 2p + 4p = 40
2p = 14
p = 7 (there are 7 pigs so now we know there are 6 chickens.

Answer: 7 pigs and 6 chickens

I hope this helps.

Take care,
Diana
3 0
3 years ago
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