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choli [55]
3 years ago
15

Since BC is parallel to DE, triangles ABC and ADE are similar. What are the lengths of the unknown sides?

Mathematics
2 answers:
liq [111]3 years ago
7 0
The answer is gonna be: (B)
polet [3.4K]3 years ago
5 0

Answer:

Since we have BC ║ DE, we know that:

AB/AD = BC/DE

12/(12 + 4) = BC/12

12/16 = BC/12

BC = (12 · 12)/16 = 9 (in)

Applying the pythagorean, we have:

AB² + BC² = AC²

12² + 9²     = AC²

225           = AC²

AC             = √225 = 15 (in)

Using the information about the parallel lines again, we have:

AC/CE = AB/BD

15/CE = 12/4

CE = (15 · 4)/12 = 5 (in)

So the answer is B

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A ; 1/2. B ; 1/3. C ; 2/3 D ; 4/9
hichkok12 [17]

Option B, 1/3

Since pepper topping can be in any size pizza, it remains as a 1/3 probability, since there are three toppings per size.

3 0
3 years ago
Which quadrant in the coordinate plane below has positive x and negative<br> y values?
Talja [164]

Answer:

2 or ii

Step-by-step explanation:

7 0
3 years ago
Please pick one of the options.
olchik [2.2K]

9880 different possibilities are there in Sally's new combination option second 9880 is correct.

<h3>What is permutation and combination?</h3>

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Total unique numbers consists in a Sally locker = 3

From the digits 0 to 39

Total numbers = 40

Apply combination formula:

= C(40, 3)

= 40!/(3!37!)

= 9880

Thus, 9880 different possibilities are there in Sally's new combination option second 9880 is correct.

Learn more about permutation and combination here:

brainly.com/question/2295036

#SPJ1

6 0
2 years ago
The number part when a number and a variable are multiplied together in a term is called the _____.
77julia77 [94]

Answer:

Coefficient

Step-by-step explanation:

-Usually a combination of variables and constants are multiplied to get a product.

-The constant or number part in the multiplication process is called the Coefficient

7 0
3 years ago
SOMEONE HELP WHAT IS THE ANSWER TO THESE QUESTIONS PLEASE HELP
romanna [79]
10.
Answer: 42° and 138°
Steps: First find value of x by adding both equations and setting them equal to 180°:
3x + 12x - 30 = 180
15x - 30 = 180
15x = 210
x = 14

Next, put value of x into equations to find the angle:
3x
3(14)
42°

12x - 30
12(14) - 30
168 - 30
138°


11. Answer: 28°
Steps: Complementary angles add up to 90°, so subtract 62° from 90° to find its complementary angle.
90 - 62 = 28


12. Answer: Corresponding angles are congruent.
7 0
3 years ago
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