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elena-s [515]
3 years ago
6

Find the value of x. B X+5 4 D E 2x 3 А x = [?]

Mathematics
1 answer:
Greeley [361]3 years ago
5 0

Answer:

x = 3

Step-by-step explanation:

Δ BDE and Δ BAC are similar triangles, thus the ratio of corresponding sides are equal, that is

\frac{BD}{BA} = \frac{BE}{BC}, substitute values

\frac{x+5}{3x+5} = \frac{4}{7} ( cross- multiply )

4(3x + 5) = 7(x + 5) ← distribute parenthesis on both sides )

12x + 20 = 7x + 35 ( subtract 7x from both sides )

5x + 20 = 35 ( subtract 20 from both sides )

5x = 15 ( divide both sides by 5 )

x = 3

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4 0
4 years ago
Three-fourths of the employees at a bookstore came to a staff meeting. Less than 24 employees were at the meeting. The inequalit
Len [333]

Answer:

The correct option is 4.

Step-by-step explanation:

It is given that the three-fourths of the employees at a bookstore came to a staff meeting. Less than 24 employees were at the meeting.

Let the total number employees be e.

Three fourth of the total employees is \frac{3}{4}e, the total number of employees at the meeting were less than 24.

\frac{3}{4}e

Multiply 4 both sides.

\frac{3}{4}e\times 4

3e

Divide both sides by 3.

e

Therefore the value of e is less than 32.

In a number line as we approach towards left the the value of integers decreases.

Since the value of e is less than 32, therefore the solution graph is from negative infinity to 32.

Since 32 is not included in the solution set, therefore there is an open circle on 32.

Option 4 is correct.

3 0
3 years ago
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Ganezh [65]
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How did the rose grow from concrete
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What is the value of the expression below when y = 5?
muminat

Answer:

56

Step-by-step explanation:

10y+6

10(5)+6

10*5=50

50+6=56

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3 years ago
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