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omeli [17]
3 years ago
11

If B is the midpoint of AC, AC=CD, AB=3x+4, AC=11x-17, and CE=49, find DE.

Mathematics
1 answer:
Luba_88 [7]3 years ago
6 0

Answer:

11

Step-by-step explanation:

AB = 3x + 4 and AC which is twice of AB is equal to 11x - 17

2 (3x + 4) = 11x - 17

6x + 8 = 11x - 17

8 + 17 = 11x - 6x

25 = 5x

5 = x

AC = CD = 11x - 17 ➡ 11×5 - 17 = 38

CD = 38 and DE = 49 - 38 = 11

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Because 3(x+4) is a product, log 3(x+4) = log 3 + log (x+4).

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A bag contains 14 gray 7 black and 10 white marbles. A marble is drawn at random what is the thecorical probability as a decimal
marta [7]
<h3>Answer:</h3>

<em>The theoretical probability to draw a black marble is </em><u><em>0.23</em></u><em>. </em>

Step-by-step explanation:

First add up the total amount of marbles in the bag.

14 gray marbles + 7 black marbles + 10 white marbles = 31 total marbles.

Since we need the odds of a black marble being drawn, divide 7 (the amount of black marbles) by 31 (the amount of total marbles).

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Lastly, round the decimal to the nearest hundredth.

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We are given:

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