1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
polet [3.4K]
3 years ago
5

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]3 years ago
7 0

Answer:

C

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
A manager samples the receipts of every fifth person who goes through the line. Out of 50 people, 4 had a mispriced item. If 1,6
rusak2 [61]

Answer:

128

Step-by-step explanation:

There are 32 50's in 1600.

So 32x4=128

4 0
3 years ago
I need help on this question
NISA [10]
The correct answer should be C to this question
4 0
2 years ago
Read 2 more answers
Problem If you roll two fair six-sided dice, what is the probability that the dice show the same number?
shusha [124]
Lets say yu are trying to roll a 4 on both of the dice the probability for both is 1/6 so multiply 1/6 × 1/6 and you get 1/36
so the probability for rolling the same number on each dice is 1/36
hope this helps!
8 0
3 years ago
The diagonals of a parallelogram are 24 meters and 40 meters and
Naddika [18.5K]

Answer:

  28 m

Step-by-step explanation:

The longer side can be found using the Law of Cosines. The semi-diagonals are of length 12 and 20 m, and the angle between them facing the long side is 180° -60° = 120°.

  c^2 = a^2 +b^2 -2ab·cos(C)

  c^2 = 12^2 +20^2 -2·12·20·cos(120°) = 144 +400 +240 = 784

  c = √784 = 28

The longer side is 28 meters.

8 0
3 years ago
How do you find the slope of a line on a graph
MariettaO [177]
Rise over run
find the difference between two points
5 0
3 years ago
Other questions:
  • How do you turn 0.6 into a fraction
    15·2 answers
  • 316.7 gallons to pints
    13·2 answers
  • Multiply: (x – 4)(x + 5)
    9·1 answer
  • HELP PICTURE IS SHOWN
    15·1 answer
  • What is the value of y?
    13·1 answer
  • PLEASE HELP! M is the centroid of triangle ABC. (Look at pic). Show your work and explain your steps please.
    13·1 answer
  • 2x – 8x + 6<br> What is the answer when factoring this equation
    9·2 answers
  • Find the common difference of the arithmetic sequence –9, -7, -5, ...
    10·1 answer
  • A car travels 2 5/8 miles in 3 1/2minutes at a constant speed. Which equation represents the distance, d, that the car travels i
    6·1 answer
  • After your instructor added 4 points to each student's test score, your score is 92.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!