answer.
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
julia-pushkina [17]
2 years ago
10

What is the value of h in the figure below? In this diagram, BAD ~ CBD (Help ASAP)

Mathematics
2 answers:
masha68 [24]2 years ago
8 0
To get the value of h we use proportionality:
ΔABC is similar to ΔADB and is similar to ΔBDC this is because they are right triangles. This implies that there corresponding sides are equal. Hence:
AD=25-16=9
using Pythagorean theorem:
c^2=a^2+b^2
then:
AB^2=(h^2+9^2)
Also:
(BC)^2=(AB)^2+(AC)^2

=25^2-(h^2+9^2)

Also:
(BC)^2=(BD)^2+(DC)^2
thus
(BC)^2=h^2+16^2
hence combing the values for (BC)^2 we get:
25^2-(h^2+9^2)=h^2+16^2
simplifying we obtain:
625-h^2-81=h^2+256
putting like terms together
625-81-256=h^2+h^2
288=2h^2
thus
h^2=144
hence
h=√144
h=12 units

svet-max [94.6K]2 years ago
8 0

Answer:

ANSWER IS 12

Step-by-step explanation:

You might be interested in
What are the solutions of 8x2 = 6 + 22x? Check all of the boxes that apply.
Sholpan [36]
Transpose all the terms in the left hand side of the equation. The equation then becomes,
                         8x²  - 22x - 6 =0
Divide both sides of the equation by 2,
                        4x² - 11x - 3 = 0 

In this equation, A = 4, B = -11, and C = -3

With the variables identified, the quadratic equation can be used to identify the roots,
                         x = (-B +/- √B² - 4AC) / 2A
The values of x in the equation are,
                        <em> x = 3 and x = -1/4
</em>
<em />Thus, the one of the answer to this item is the third choice, x = 3. <em>
</em>
6 0
2 years ago
Read 2 more answers
(A) The weight of cans of vegetables is normally distributed with a mean of 1380 grams and a standard deviation of 80 grams. Wha
pychu [463]

Answer:

7.35%

Step-by-step explanation:

μ = 1380

σ = 80  

n = 15  

P(x>1410)  

= (1410-1380)/((80)/(sqrt(15)))

= 1.4524  

P(z>1.4524) = 0.4265  (from the graph)

P(z>1.4524) = 0.5 - 0.4265 = 0.0735

7 0
1 year ago
Complete the area model representing the polynomial x2 − 11x + 28. What is the factored form of the polynomial? Use the model to
qwelly [4]

Answer:

\boxed{\sf  \ \ \ (x-4)(x-7) \ \ \ }

Step-by-step explanation:

Hello,

from the expression we can say that the sum of the two zeroes is 11 and the product is 28

4 + 7 = 11

4 * 7 = 28

so we can write

x^2-11x+28=(x-4)(x-7)

hope this helps

7 1
2 years ago
Let x = 8.99999 . (a) Is x &lt; 9 or is x = 9? x &lt; 9 It is neither; x &gt; 9 x = 9 x &lt; 9 and x = 9 It cannot be determined
qaws [65]

Answer: idk

Step-by-step explanation:

idk

4 0
2 years ago
There are 8 candidates for student government: Hal, Mary, Ann, Frank, Beth, John, Emily, and Tom. The three candidates that rece
sveticcg [70]

Answer:

56

Step-by-step explanation:

Given that there are 8 candidates for student government: Hal, Mary, Ann, Frank, Beth, John, Emily, and Tom.

The three candidates that receive the highest number of votes become candidates for a runoff election.

i.e. 3 persons out of 8 to be selected for becoming candidates for a runoff election.

Since order does not matter we use combinations here

3 persons out of 8 can be done in 8C3 ways

= 56

no of 3-candidate combinations  possible are 56

3 0
2 years ago
Other questions:
  • Bananas are sold in bunches at a grocery store and typically consist of 4-8 bananas per bunch. suppose the weight of these bunch
    13·1 answer
  • In the country of Apexistan, 7% of the population was unemployed in September of 2007. If there were 147,000,000 people willing
    5·2 answers
  • the scale of a map is 0.5 inch : 40 miles. On the map, the distance between 2 cities is 5 inches. What is the actual distance be
    13·1 answer
  • Which of the following shows the prime factorization of 36 using exponential notation?
    6·1 answer
  • Given C(x, 16), D(2,-4), E(-6, 14), and<br> F(-2, 4), find the value of x so that CD || EF.
    11·1 answer
  • The Whitt Window Company, a company with only three employees, makes two different kinds of hand-crafted windows: a wood-framed
    14·1 answer
  • PLLLLZ HELP Find the seventh partial sum of 13, 22, 31, 40, ...
    8·2 answers
  • Michael walked 36 feet west and 15 feet south. how far is he from his original starting point?
    14·2 answers
  • N the diagram, the ratios of two pairs of corresponding sides are equal.
    11·2 answers
  • The radius of a right circular cone is increasing at a rate of 1.4 in/s while its height is decreasing at a rate of 2.1 in/s. At
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!