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
Ad libitum [116K]
3 years ago
10

What is the value of hin the figure below? In this diagram, ABAD ~ ACBD.

Mathematics
1 answer:
VashaNatasha [74]3 years ago
8 0

Answer:

  F.  8

Step-by-step explanation:

The ratio of the long side to the short side is the same in similar triangles. The long side of triangle BAD is AD, which has length 20-4 = 16.

  BD/DE = AD/BD

  h/4 = 16/h

  h^2 = 64 . . . . . . . multiply by 4h

  h = 8 . . . . . . . . . . take the square root (matches selection F)

_____

<em>Comment on this geometry</em>

BD = √(AD·DC) is called the "geometric mean" of the segments AD and DC. This geometry has some other geometric mean relationships as well:

BC = √(AC·DC)

BA = √(AC·AD)

You might be interested in
using whole numbers, fractions, and decimals, write at least eight addition equations that have the sum of 10
LuckyWell [14K]
<span>Using whole numbers, fractions, and decimals, these are the eight addition equations that have the sum of 10
</span>1. 5+5=10
2. 1 1/2 + 8 1/2 =10
3. 2.9+7.1=10
4. 6 1/3 + 3 2/3 =10
5. 4 3/5 + 5 2/5=10
6. 9.01+.99=10
7. 3.72+6.28 = 10
8.  8 8/9+ 1 1/9=10
7 0
3 years ago
Let $DEF$ be an equilateral triangle with side length $3.$ At random, a point $G$ is chosen inside the triangle. Compute the pro
umka21 [38]

|\Omega|=(\text{the area of the triangle})=\dfrac{a^2\sqrt3}{4}=\dfrac{3^2\sqrt3}{4}=\dfrac{9\sqrt3}{4}\\|A|=(\text{the area of the sector})=\dfrac{\alpha\pi r^2}{360}=\dfrac{60\pi \cdot 1^2}{360}=\dfrac{\pi}{6}\\\\\\P(A)=\dfrac{\dfrac{\pi}{6}}{\dfrac{9\sqrt3}{4}}\\\\P(A)=\dfrac{\pi}{6}\cdot\dfrac{4}{9\sqrt3}\\\\P(A)=\dfrac{2\pi}{27\sqrt3}\\\\P(A)=\dfrac{2\pi\sqrt3}{27\cdot3}\\\\P(A)=\dfrac{2\pi\sqrt3}{81}\approx13.4\%

8 0
3 years ago
Read 2 more answers
What is the interquartile range of 45,60,40,90,60,50,75,120,90
puteri [66]
IQR = 40

1) Put the numbers in order: 40, 45, 50, 60, 60, 75, 90, 90, 120
2) Find the median: Median is 60 (the 2nd one)
3) Place parentheses around the numbers above and below the median. For easy identification of Q1 and Q3. (40, 45, 50, 60,) 60, (75, 90, 90, 120)
4) Find the Q1 and Q3. Q1 = median of the lower half of the data; Q3 = median of the higher half of the data. Q1 and Q3 have even sets so its median cannot be defined.
5) Had both sets contain odd sets, the median of Q1 is subtracted from the median of Q3 to get the IQR.

We can then use the Alternative definition of IQR.
IQR is the difference between the largest and smallest values in the middle 50% of a set data.

40, 45, 50, 60, 60, 75, 90, 90, 120

Middle 50% is 50, 60, 60, 75, 90; IQR = Largest value - smallest value;

IQR = 90 - 50 = 40



5 0
3 years ago
Find the distance between<br> (-3,5) and (4,-2)
Westkost [7]

Answer:

7√2 or approx. 9.89949

Step-by-step explanation:

distance between two points is

d=√(∆x^2+∆y^2)

where...

d is distance

∆x is change in x value

and ∆y is change in y value

In this problem ∆x=(-3)-4=(-7)

∆y=5-(-2)=7

plugging in those values gives us

d=√((-7)^2+7^2)

Solving this expression gives us

d=√(49+49)=√98

After simplifying the radical we are left with 7√2 or about 9.89949.

3 0
3 years ago
Find the surface area of the cylinder: Use 3.14 for
sleet_krkn [62]

Answer:

Well on my end i got 47.12, with pi included

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Lillian works 7hours each day for 5 days a week she earn £420 each week how much does she earn per hour
    6·1 answer
  • Im lost and I don’t understand what’s going on
    8·2 answers
  • What are 2 equivalent expressions that are equal to 10m-40
    8·2 answers
  • Write an equation, in point-slope form, for the line that goes through points (4,4) and (-4,-1).
    15·1 answer
  • Suppose the circumference of a circle is 3 pi. What is the diameter?
    5·2 answers
  • ways to put 72 cookies into an equal amount of bags with more than 2 and less than 10 cookies in each bag
    9·1 answer
  • What is the coefficient of 42+2c
    5·1 answer
  • Please help me please help please help!!!!!!!!!!!
    8·2 answers
  • Solve for x.<br> (4x + 24)<br> (7x + 3)
    7·2 answers
  • A baker can bake 5 cakes in an hour. How many cakes can she bake in c minutes?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!