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Alekssandra [29.7K]
3 years ago
13

Solve for x. The triangles in each pair are similar. ​

Mathematics
1 answer:
KatRina [158]3 years ago
3 0

Answer:

Step-by-step explanation:

You need to pay very close attention to the triangle similarity statement.  This says that triangle NML is similar to triangle NVU.  But if you look at the way that triangle NVU is oriented in its appearance, it's laying on its side.  We need to set it upright so that angle N is the vertex angle, angle V is the base angle on the left, and angle U is the base angle on the right.  When we do that we see that sides NV and NM are corresponding and exist in a ratio to one another; likewise with sides VU and ML.  Setting up the proportion:

\frac{NV}{NM}=\frac{VU}{ML}

Filling in:

\frac{12}{36} =\frac{9}{9x}

Cross multiply to get

324 = 108x

and x = 3

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Korvikt [17]

Answer:

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4 0
3 years ago
A detachment of n soldiers must cross a wide and deep river with no bridge in sight. They notice two 12- year-old boys playing i
Vitek1552 [10]

Answer:

Steps 1 - 4 below explains it.

Step-by-step explanation:

The way that the soldiers get across the river and leave the boys in joint possession of the boat is;

1) The two 12- year - old boys will take the boat to the other side

2) Thereafter, one of the 12- year - old boys will return with the boat.

3) A soldier will now take the boat to the other side and the soldier will remain there while the other boy returns the boat.

4) Step 1 - 3 is a total of 4 trips. Thus, trip would be repeated the total of n times and the n number of soldiers would get across the river and leave the boys in joint possession of the boat after the total of 4n trips.

5 0
2 years ago
The equation y = 1/4x represents a proportional relationship. What is the constant of proportionality?
Andrew [12]

Answer:

[see below]

Step-by-step explanation:

The equation is in the form:

y = kx

Where k is the constant of proportionality.

Since 1/4 is in k's spot, the constant of proportionality should be '1/4'.

Hope this helps.

4 0
2 years ago
Morse code is a way to transmit text using a series of dots or dashes The Morse code for "ADD" is shown What fraction of the sha
salantis [7]
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5 0
3 years ago
Read 2 more answers
8(2x-3)-6x if 3=x and simplify
Rom4ik [11]
Simplify the expression:

8(2x - 3) - 6x = 8×2x - 8×3 - 6x = 16x - 24 - 6x = 10x - 24

for x=3

put value of "x" to the expression:

<u>10×3 - 24 = 30 - 24 = 6</u>
5 0
3 years ago
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