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
frozen [14]
3 years ago
8

The two quadrilaterals below are similar. What is the length of EF?

Mathematics
1 answer:
damaskus [11]3 years ago
6 0

EF = 15 cm.

Step-by-step explanation:

Step 1:

If the quadrilaterals, ABCD and EFGH are similar their side lengths will be of the same ratio throughout.

Comparing the quadrilaterals, we have AB and EF are similar, BC and FG are similar, CD and GH are similar, DA and HE are similar.

So the ratio of all these sides will be equal.

Step 2:

\frac{AB}{EF} :\frac{BC}{FG} : \frac{CD}{GH} :\frac{DA}{HE} .

Of these lengths, we only have the values for AB, BC, CD, DA, GH, HE and need to determine the length of EF. By substituting the known values the ratio becomes;

\frac{5}{EF} :\frac{4}{12} :\frac{6}{18} .

\frac{5}{EF} : \frac{1}{3} : \frac{1}{3} .

So EF = 3(5) = 15 cm. Which is the second option.

You might be interested in
How can i get the answer to this
kicyunya [14]
I believe it would be 20/15
6 0
3 years ago
Read 2 more answers
If there are 19 questions and each question has 4 answers, what is the probability she will answer at least one question correct
gregori [183]

Answer:

0.9958

Step-by-step explanation:

P(being correct) = 1/4 = 0.25

Hence, p = 0.25

n = 19

P(x ≥ 1) = p(x = 1) + p(x = 2) +... + p(x = 19)

Using the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

However, to save computation time, we could use a calculator :

Using a calculator,

P(x ≥ 1) = 0.99577

P(x ≥ 1) = 0.9958

7 0
2 years ago
Plss help me and explaim too​
masya89 [10]

Answer:

a = b = 1

Step-by-step explanation:

The triangles are similar thus ratios of corresponding sides are equal, that is

\frac{10}{2} = \frac{5}{b} ( cross- multiply )

10b = 10 ( divide both sides by 10 )

b = 1

and

\frac{10}{2} = \frac{5}{a} ( cross- multiply )

10a = 10 ( divide both sides by 10 )

a = 1

Thus a = 1 and b = 1

3 0
2 years ago
What is the standard form of this polynomial: 7 - x³ + 2x - 4x²?
Nadya [2.5K]

Answer:

−x^3−4x^2+2x+7

Step-by-step explanation:

3 0
2 years ago
Does y varies directly with x? <br><br>Find the constant of variation and write the equation.​
amid [387]
Some textbooks describe direct variation by saying " y varies directly as x ", " y varies proportionally as x ", or " y is directly proportional to x . ") This means that as x increases, y increases and as x decreases, y decreases—and that the ratio between them always stays the same.
7 0
2 years ago
Other questions:
  • Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
    8·1 answer
  • What is the difference between the greatest amount and least amount of gasoline used to mow lawns?
    13·1 answer
  • The coach paid $246 for 12<br>basketball uniforms. What<br>is the unit price?​
    6·1 answer
  • The half life of Pb-210 is 22 years. A decayed animal shows 16% of the original Pb-210 remains; how long has the animal been dec
    7·1 answer
  • Solve with work <br><br>24.32 ÷ 6.4​
    5·1 answer
  • Perform the operation indicated, then place the answer in the proper location on the grid. The perimeter of a triangle is 7a - 1
    9·1 answer
  • -7 2/3 +(5 1/2) + 8 3/4 =
    15·1 answer
  • A bag has the following 10 colored stones in it. There are 2 red, 2 blue, 1 orange, 2 purple and 3 green stones. What is the pro
    7·1 answer
  • She has $10.00 to spend. Apples cost $0.26 each and oranges cost $0.38 each. If Samantha can only buy apples, how many apples ca
    12·2 answers
  • What two numbers multiply to -24 and add to -5?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!