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horrorfan [7]
3 years ago
7

How do I solve for h

Mathematics
1 answer:
WITCHER [35]3 years ago
8 0
All the triangles are similar, so the ratio of (long leg)/(short leg) is the same. The long leg of ΔADB is
.. AD = AC -DC = 20 -4
.. AD = 16

Then
.. (long leg)/(short leg) = AD/DB = BD/DC
.. 16/h = h/4
.. h^2 = 64
.. h = 8

Selection D is appropriate.

_____
You may see this again. The altitude (h) from the right angle in a right triangle is the geometric mean of segments AD and DC. That is,
.. h = √((AD)*(DC))
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Solve (x-3)^2=5<br> A. x=5+√3<br> B. x=-3+√5<br> C. x=3+√5<br> D. x=8 and x=-2
kodGreya [7K]

Answer:

A

Step-by-step explanation:

we should first find the value of x.

4 0
3 years ago
Read 2 more answers
Use a factor tree to find the prime factorizations of 96. Write the prime factorizations using exponents. 1.2^3•6^2. 2.2^5•4^2.3
dezoksy [38]
Look\ at\ the\ picture:\\\\96=2\times2\times2\times2\times2\times3=\boxed{2^5\cdot3}\leftarrow\ answer\ \boxed{3.\ 2^5\cdot3}

4 0
2 years ago
Which of the following expressions is equivalent to -2-5?
Vanyuwa [196]
-7 Hope this helps. :)
6 0
3 years ago
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There are 3 red chips and 2 blue chips. If they form a certain color pattern when arranged in a row, for example RBRRB, how many
svp [43]

Answer:

Option A - 10

Step-by-step explanation:

Given : There are 3 red chips and 2 blue chips. If they form a certain color pattern when arranged in a row, for example RBRRB.

To find : How many color patterns are possible?

Solution :

Total number of chips = 5

So, 5 chips can be arranged in 5! ways.

There are 3 red chips and 2 blue chips.

So, choosing 3 red chips in 3! ways

and choosing 2 blue chips in 2! ways.

As changing the places of similar chip will not create new pattern.

The total pattern is given by,

T=\frac{5!}{3!\times 2!}

T=\frac{5\times 4\times 3!}{3!\times 2}

T=10

Therefore, color patterns are possible are 10.

Option A is correct.

4 0
3 years ago
Find the value of x. If necessary, round your answer to the nearest tenth. The figures are not drawn to scale.
REY [17]

Answer:

9.93

Step-by-step explanation:

Secant-Tangent theorem tells us that the product of the secant segment with its external segment is equal to the square of the tangent segment.

From the diagram, we can say (let the unknown part of secant line, the part left of the segment length 5, be y):

(15+y)(10) = 17^2

Solving for y we get:

(15+y)(10) = 17^2\\150+10y=289\\10y=289-150\\10y=139\\y=13.9

Now we can use the chord theorem to solve for x. Chord theorem tells us that when 2 intersecting chords create 4 segments, the product of the individual chord segments are equal. Thus we can say:

5 * 13.9 = 7 * x

Now solving, we get:

5 * 13.9 = 7 * x\\69.5=7x\\x=\frac{69.5}{7}\\x=9.93

Thus x = 9.93

last answer choice is right.

4 0
3 years ago
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