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Setler79 [48]
4 years ago
10

I know this is like the 700th question I've asked​

Mathematics
1 answer:
AysviL [449]4 years ago
6 0

Answer:

BC = 15

Step-by-step explanation:

Because of parallel lines, AD and BE, triangles ADC and BEC are similar.

In similar triangles, the lengths of corresponding sides are proportional.

AC/BC = DC/EC

We see that AC = AB + BC = 3 + BC

Also, DC = DE + EC = 2 + 10 = 12

(3 + BC)/BC = 12/10

(3 + BC)/BC = 6/5

Cross multiply.

5(3 + BC) = 6BC

15 + 5BC = 6BC

15 = BC

BC = 15

You might be interested in
Write 31/11 as a decimal. If necessary, use a bar to indicate with digit or group of digits repeats
Andrews [41]

Answer:

2.81

Step-by-step explanation:

.81 has a bar over it.

5 0
3 years ago
Eleven subtracted from the quotient of a number and five is -13
madam [21]
X/5 - 11 = -13

x/5 - 11 (+11) = -13 (+11)

x/5 = -2

x/5 (5) = -2(5)

x = -10

-10 is your number

hope this helps
5 0
3 years ago
PLEASE HELP WITH THIS
olga_2 [115]

Answer:

7^3 = 343 is equivalent to 3 = log to base 7 343 so the base of the logarithm 7^3 is 7

5 0
3 years ago
Please help! with work shown !
BARSIC [14]

Answer:

#10: 5/36

#11: 5/6

Step-by-step explanation:

#10:

The following combinations will get you 6.

1 - 5

2 - 4

3 - 3

4 - 2

5 - 1

These are only 5 of the 36 possible combinations, so you have 5/36 of a chance to get a combo of equal 6.

#11:

Like with #10, list the possible combinations that will get you 7.

1 - 6

2 - 5

3 - 4

4 - 3

5 - 2

6 - 1

That's only six combinations, but we're not including those. Subtract 6 from 36 to get 30. 30/36 simplifies to 5/6 (GCF of 30 & 36 is 6), so that is the answer to #11.

5 0
3 years ago
Use the Pythagorean Theorem to solve for x.<br> a.4.7<br> b.7.5<br> c.8,1<br> d.19.8
denis-greek [22]

Answer:

B: 7.5

Step-by-step explanation:

Use the formula a²+b²=c² to calculate. a=x b=13 c=15. Simply plug in the numbers to the coresponding letters

a²+13²=15²

a²+169 = 225

   -169    -169

__________

      a²= -56

a = 7.5

8 0
3 years ago
Read 2 more answers
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