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den301095 [7]
2 years ago
8

What is the value of x? Enter your answer, as a decimal, in the box. m Image shows triangle M P N with midsegment A B where A is

between M and N and B is between M and P. M N is 80.5 meters. A N is 35 meters. M P is 96.6 meters. M B is x.
Mathematics
1 answer:
igor_vitrenko [27]2 years ago
6 0

Applying BPT theorem in triangle MNP, which states that, If a line is drawn parallel to one side of a triangle intersecting other two sides, then it divides the two sides in the same ratio.

\frac{MB}{BP}=\frac{MA}{AN}

\frac{x}{96.6-x}=\frac{80.5-35}{35}

\frac{x}{96.6-x}=\frac{45.5}{35}

35x= 45.5(96.6-x)

35x= 4395.3 - 45.5x

80.5x = 4395.3

x=54.6 meters

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timama [110]
For this case, the first thing we must take into account is the following definition:
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50 = v * t1
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 Trip 2:
 
300 = (3 * v) * t2
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His new time compared with the old time was:
 
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4 0
3 years ago
An angle measures 114° less than the measure of its supplementary angle. What is the measure of each angle?
dezoksy [38]

Answer:

66°

Step-by-step explanation:

x+114°=180°

x+114°-114°=180°-114°

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3 0
2 years ago
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.
Verdich [7]

 the first option is the answer

Step-by-step explanation:

4c + 6a <= 120 [building hours]

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4 * 20 + 6 * 6 <= 120

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true, they have enough building hours

4 * 20 + 4 * 6 <= 100

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3 0
3 years ago
#10 using right angle below find the tangent of angle A.
just olya [345]

Answer: the first option is the correct answer.

Step-by-step explanation:

Triangle ABC is a right angle triangle.

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With m∠A as the reference angle,

AC represents the adjacent side of the right angle triangle.

BC represents the opposite side of the right angle triangle.

To determine the tangent of angle A, we would apply the Tangent trigonometric ratio. It is expressed as

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Tan A = 5/5√3 = 1/√3

Rationalizing the surd, it becomes

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6 0
3 years ago
The price of a car devaluated from 3500 to 2700 what is the percent of decrease of the car
Nata [24]

Answer:

The price of the car decrease 22.86 %

Step-by-step explanation:

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3 0
3 years ago
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