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Norma-Jean [14]
2 years ago
9

Find the missing side length, and enter your answer in the box below. If

Mathematics
1 answer:
mixas84 [53]2 years ago
4 0
3^2 + 4^2 = c^2

sqrt(9) + sqrt(16) = c^2

Sqrt(25) = c^2

C = 5


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If G is the circumcenter of triangle ABC, AG = 6x + 1, GC = 9x – 11, and BC = 38, find GF.
maks197457 [2]

Answer:

GF = 16.25

Step-by-step explanation:

If G is the circumcenter of triangle ABC, AG = 6x + 1, GC = 9x – 11, and BC = 38, find GF.

Step 1

We find x

AG = GC

6x + 1 =9x - 11

Collect like terms

1 + 11 = 9x - 6x

12 = 3x

x = 12/3

x = 4

Step 2

We solve for AG

GC = 9x + 11

GC = 9(4) + 11

GC = 36 + 11

GC = 25

Step 3

Solving for GF, using Pythagoras Theorem

GF² + BG² = GC²

GF² = GC² - BG²

GF = √GC² - BG²

GF = √25² - 19²

GF = √264

GF = 16.248076809

GF = 16.25

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2 years ago
what is the probability that a number selected at random from the set {2,3,7,12,15,22,72,108} will be divisible by both 2 and 3?
evablogger [386]
First, look at how many numbers are divisible by 2 and 3. 
12,72, and 108 and are all divisible by both 2 and 3. That makes 3 out of 8 numbers.
Depending on what form you have to put the probability, that makes it 3:8, 3 out of 8, or 37.5% probability.
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What is the separate weight
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