3 years ago

Proportions in similar triangles

Mathematics

1 answer:

Svetradugi [14.3K]3 years ago

4 0

Answer:

x = 4

Step-by-step explanation:

Given that DE is parallel to AC then DE divides the sides proportionally, so

$\frac{BD}{DA}$ = $\frac{BE}{EC}$ , substitute values

$\frac{x+2}{x}$ = $\frac{3}{2}$ ( cross- multiply )

3x = 2(x + 2) ← distribute

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

You might be interested in

2. Which expression is equivalent to 5(n + 3) - 10? A. 5+1 +5+3 – 10 B. 5 • n + 5 + 3 - 10 C. 5. n + 5 • 3 – 10 D. 5 • n • 5 • 3

GuDViN [60]

Answer:

5n+5

Step-by-step explanation:

5(n+3)-10

5n+15-10

5n+5

8 0

3 years ago

15. What is the dependent and independent variable in this scenario?

Montano1993 [528]

The dependent variable is 5 and the independent is 15

7 0

3 years ago

Use the vertical line test to determine if the relation {(–6, –2), (–2, 6), (0, 3), (3, 5)} is a function

hammer [34]

Answer: Its a function

Step-by-step explanation:

6 0

3 years ago

The price of a pair of shoes was reduced from $20 to $14

sdas [7]

Answer: D 30%

Step-by-step explanation:amount change/amount start x 100%

(20-14)/20=.3

.3 x 100% = 30%

3 0

2 years ago

Read 2 more answers

NO LINKS!!!<br><br>Find the indicated side for each triangle below:

pogonyaev

Problem 5

Apply the Law of Sines

s/sin(S) = r/sin(R)

s/sin(78) = 10/sin(48)

s = sin(78)*10/sin(48)

s = 13.162274

<h3>Answer: 13.162274 approximately</h3>

=============================================================

Problem 6

Use the Law of Sines here as well.

x/sin(X) = y/sin(Y)

x/sin(53) = 6/sin(22)

x = sin(53)*6/sin(22)

x = 12.791588

<h3>Answer: 12.791588 approximately</h3>

8 0

2 years ago

Read 2 more answers