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
Makovka662 [10]
3 years ago
10

The extensions of the legs AB and CD of a trapezoid ABCD intersect at point E. Find the lengths of the sides of △AED if AB=5cm,

BC=10cm, CD=6cm, AD=15cm.
Mathematics
1 answer:
Lynna [10]3 years ago
8 0

Answer:

  AE = 15 cm; ED = 18 cm; AD = 15 cm (given)

Step-by-step explanation:

ΔBEC ~ ΔAED so ...

   AD/BC = AE/BE = (BE+AB)/BE = 1 + AB/BE

Substituting given numbers (lengths in centimeters), we have ...

  15/10 = 1 + 5/BE

  1/2 = 5/BE

  BE = 10

Similarly, ...

  1/2 = 6/CE

  CE = 12

Then the unknown sides are ...

  AE = AB + BE = 5 + 10 = 15 . . . cm

  ED = CE + CD = 12 + 6 = 18 . . . cm

You might be interested in
What is the sum or difference? 3x^8 + 7x^8
posledela

Answer:

10x^8 is the sum

Step-by-step explanation:

7 0
3 years ago
If α, β are the zeroes of the polynomials f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) =
Pavlova-9 [17]

Answer:

f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)

Step-by-step f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)explanation:

f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(xf(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(xf(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)

4 0
3 years ago
Please Please Please help me with the answer
Tems11 [23]

c = amount of chocolate donuts

m = amount of maple donuts.

so we know the total in all is 41 donuts, thus c + m = 41.

we also know that whatever c is, m is 25 fewer than that, m = c - 25.

\bf \begin{cases} c+m=41\\ \boxed{m}=c-25\\ --------\\ c+\boxed{c-25}=41 \end{cases} \\\\\\ 2c-25=41\implies 2c=66\implies c=\cfrac{66}{2}\implies c=33 \\\\\\ \stackrel{\textit{since c = 33}}{m = c - 25}\implies m=33-25\implies m = 8

6 0
3 years ago
Read 2 more answers
Plot the image point P under the translation (x,y)→(x-4,y-6).
Vesnalui [34]
(−6,−4) would be your answer! (:
4 0
2 years ago
IQ scores are known to be normally distributed. The mean IQ score is 100 and the standard deviation is 15. What percent of the p
Masja [62]

Answer:

47.06% of the population has an IQ between 85 and 105.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 100, \sigma = 15

What percent of the population has an IQ between 85 and 105?

This is the pvalue of Z when X = 105 subtracted by the pvalue of Z when X = 85. So

X = 105

Z = \frac{X - \mu}{\sigma}

Z = \frac{105 - 100}{15}

Z = 0.33

Z = 0.33 has a pvalue of 0.6293.

X = 85

Z = \frac{X - \mu}{\sigma}

Z = \frac{85 - 100}{15}

Z = -1

Z = -1 has a pvalue of 0.1587

So 0.6293 - 0.1587 = 0.4706 = 47.06% of the population has an IQ between 85 and 105.

5 0
3 years ago
Other questions:
  • Which statement about the figure below is true?
    11·1 answer
  • 1 2 3 4 5 6 7 8 9 10
    15·1 answer
  • the taxi fare in new york city is $2.40 for the first 1/2 miles and additional mileage is charged at the rate $2.00 for each add
    7·1 answer
  • Carmen has a sign with dimensions 5 ft × 7.5 ft. She wants to reduce it to make a postcard. Postcard sizes are 3.5 in. × 5 in.,
    5·1 answer
  • If you had 28 / 10 dollars how much money would that be in dollars and cents rounded to the nearest penny?
    7·2 answers
  • Americans who are 65 years of age or older make up 12.2% of the total population. if there are 30.2 million Americans in this ag
    12·1 answer
  • The diameter of a circle is 16 centimeters. How would you calculate the area?
    10·1 answer
  • Can someone help me with these problems step by step? It’s pre-algebra so it’s not rlly that hard.
    5·1 answer
  • The quotient below is shown without the decimal point. Use number sense to place the decimal point correctly.
    15·1 answer
  • What value of x satisfies this equation?<br> log2 (6x – 8) – log, 2^8=1<br> The value of x is?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!