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Ann [662]
2 years ago
7

The expression 17n+11 represents the perimeter of a triangle. The other two sides measure 4n+5 and 5n+6. A simplified expression

that represents the measure of the third side would be...?
Mathematics
2 answers:
Alisiya [41]2 years ago
7 0

Question


The expression 17n+11 represents the perimeter of a triangle. The other two sides measure 4n+5 and 5n+6. A simplified expression that represents the measure of the third side would be...?


Answer:

<h2>(17n + 11) - (4n +5 + 5n + 6) =</h2>

Step-by-step explanation:

you simply take off the misure of the know sides from the perimeter

(17n + 11) - (4n +5 - 5n + 6) =

8n


frutty [35]2 years ago
3 0

Answer: 8n

==========================================================

Explanation:

The two sides 4n+5 and 5n+6 have the terms 4n and 5n which add to 9n. We need 8n to add onto this so that we end up with 17n. In other words, 4n+5n+8n = 9n+8n = 17n

So that is why the answer is 8n. We don't have anything added or subtracted to it because the "+5" and "+6" in the two given expressions (4n+5 and 5n+6) add up to 5+6 = 11 which is what we want in the perimeter expression 17n+11

Side 1 = 4n+5

Side 2 = 5n+6

Side 3 = 8n

Perimeter = (side1) + (side2) + (side3)

Perimeter = (4n+5) + (5n+6) + (8n)

Perimeter = 4n+5 + 5n+6 + 8n

Perimeter = (4n+5n+8n) + (5+6)

Perimeter = 17n+11

So that confirms we have the proper expression for the third missing side.

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If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with t
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In ΔTUV, the measure of ∠V=90°, TV = 56, UT = 65, and VU = 33. What is the value of the tangent of ∠U to the nearest hundredth?
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Step-by-step explanation: The triangle TUV has one of the angles (angle V) measuring 90 degrees. That makes it a right angled triangle. Also line TV equals 56. Note that the third angle (angle U) would be facing line TV, that makes line TV opposite angle U, since angle U is the reference angle. Line VU measures 33. If angle U is the reference angle and angle V is the right angle, then line VU is the adjacent (line between the right angle and the reference angle).

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if the total precipitation (rainfall and snow) for the year at a mountain town is expected to be 37.9 and it has already rained
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Answer:

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So then after 9 years we will have approximately 1649 number of employees

Step-by-step explanation:

For this case we want to model the number of employees and we need to use an exponential model given by this general expression:

y = y_o e^{rt}

For this case the initial amount is y_o = 1440 and the rate r =0.015

And then the model would be given by

y = 1440 e^{0.015 t}

And if we find the value for t =9 years we got:

y(9) = 1440 e^{0.015*9}= 1648.133

So then after 9 years we will have approximately 1649 number of employees

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