2 years ago

In the diagram below, ABC - DEC. What is the value of x? A 5 B. 3 C. 6 D. 4

Mathematics

1 answer:

Anastaziya [24]2 years ago

7 0

Answer:

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{BC}{EC}$ = $\frac{AC}{DC}$ , substituting values

$\frac{21}{7}$ = $\frac{24-x}{x}$ ( cross- multiply )

21x = 7(24 - x) ← distribute

21x = 168 - 7x ( add 7x to both sides )

28x = 168 ( divide both sides by 28 )

x = 6 → C

You might be interested in

Ling drove at speed of 45 Miles per hour for 225 miles. How many hours did she drive?

oksian1 [2.3K]

225 miles / 45 miles/hr = 5hr

3 0

3 years ago

There are 61 centimetres of liquorice to be shared equally among 7 people. What length of liquorice will each person get?

Simora [160]

Answer:

8.71428571

do 61 divided by 7. Simple math.

8 0

3 years ago

Read 2 more answers

Solve the equation?<br><br> 13 +w/7 = –18 ...?

Degger [83]

The equation given in the question is

13 + (w/7) = - 18
(91 + w) / 7 = - 18
91 + w = - 126
w = - 126 - 91
= - 217

I hope that the procedure is clear enough for you to understand. I also hope that this is the answer that you were looking for and the answer has actually come to your desired help.

3 0

2 years ago

Read 2 more answers

What's the value of 1/4 - 7/6

Anton [14]

The answer is -11/12

3 0

2 years ago

You work 40 hours/week for 50 weeks and are given the option to be paid hourly or to go on salary. In which situation will you e

Alenkasestr [34]

Answer:

40/50 weeks is the ans

plzzz give brainliest

5 0

3 years ago

In the diagram below, ABC - DEC. What is the value of x? A 5 B. 3 C. 6 D. 4​

In the diagram below, ABC - DEC. What is the value of x? A 5 B. 3 C. 6 D. 4