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horrorfan [7]
3 years ago
11

I need help very important

Mathematics
1 answer:
siniylev [52]3 years ago
4 0

Answer:

∠ EFG = 83°, ∠ GCE = 97°

Step-by-step explanation:

Since FE and FG are tangents to the circle then

∠ FGC and ∠ FEC are right angles

The sum of the angles in quadrilateral CEFG = 360°

Sum the 4 angles and equate to 360

3x + 11 + 90 + 5x - 23 + 90 = 360, that is

8x + 168 = 360 ( subtract 168 from both sides )

8x = 192 ( divide both sides by 8 )

x = 24

Thus

∠ EFG = 3x + 11 = 3(24) + 11 = 72 + 11 = 83°

∠ GCE = 5x - 23 = 5(24) - 23 = 120 - 23 = 97°

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From the question,

Mario worked from 8:25 to 12:45 yesterday.

From 8:25 to 12:45 gives 4 hours 20 minutes

Also, from the question,

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From 11:20 to 3:10 gives 3 hours 50 minutes

To determine the number of hours he work in all, we will add the time spent working on the previous day to that of the current day. That is,

4 hours 20 minutes + 3 hours 50 minutes = 8 hours 10 minutes

Now, to put the answer in fraction form, we will convert 10 minutes to hours

NOTE: 60 minutes = 1 hour

∴ 10 minutes = \frac{10}{60} \ hours = \frac{1}{6} \ hours

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Hence, the number of hours he worked in all (written in fraction form) is 8\frac{1}{6} \ hours

Learn more here: brainly.com/question/3164396

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2 years ago
If ( square root of 128 - square root of 72) is divided by square root of 8, the result is?
AlladinOne [14]

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Dominic and Tyler collected soda cans to raise money. Dominic collected 700 cans and Tyler collected 7000 cans. The number of ca
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It should be ten times greater since,

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Question:

The options are;

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A. The distances in the Olympic final were farther on average.

Step-by-step explanation:

From the options given, we have

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