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Murljashka [212]
3 years ago
15

In the diagram below, \overrightarrow{QR}

Mathematics
1 answer:
Anton [14]3 years ago
8 0

We have been given a diagram of two similar triangles. We are asked to find the measure of segment BD.

We can see that segment AB and CD are perpendicular to segment BD as they form right angle with BD.

We have been given that segment QR is perpendicular to BD, so segment AB, CD and QR are parallel.

Using parallel lines properties, we can see that angle BAQ is equal to DCQ and angle AQB is equal to angle CQD and both angles have a right triangle.

So both triangles are similar. We know that corresponding sides of similar triangles are proportional.

\frac{QD}{CD}=\frac{BQ}{AB}

\frac{QD}{19.2}=\frac{15}{32}

\frac{QD}{19.2}\cdot 19.2=\frac{15}{32}\cdot 19.2

QD=9

BD=BQ+QD

BD=15+9

BD=24

Therefore, the length of segment BD will be 24 units.

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atroni [7]

The time taken to get to the 4th can be obtained by dividing the distance given by the speed of the lift.

Distance, height from ground to 4th floor = 42 feets

Time taken to get to the 4th floor = t

Recall :

Time = Distance / speed

  • We aren't given the speed of the lift ;

  • Assume speed of lift is 7 ft/sec

The time taken to get to the 4th floor will be :

  • t  =  \frac{42}{7}  = 6 \: seconds

Therefore, to obtain the time taken, divide the distance or height of the 4th floor by the speed of the lift.

Learn more : brainly.com/question/13218948

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2 years ago
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tankabanditka [31]

Answer:

F. 5:4

Step-by-step explanation:

Solve for a and c to find the ratio of a to c:

  • 2a = 3b
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Now, we can use the value of a and c to find the ratio of a to c:

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F. 5:4 is the correct answer

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3 years ago
A rectangle has a length of 4 mm has an area is 44 mm² width of the rectangle is
nordsb [41]
The answer is : w=1.1×10^7mm
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2 years ago
Read 2 more answers
PLEASE HELP!!! I AM DESPERATE BECAUSE MY CLASS IS IN A FEW MINUTES. Solve using statement reason.
svlad2 [7]

Answer:

Statement 1. P

Reason 1. Theorem: The measure of an external angle of a triangle is equal to the sum of the measures of the remote interior angles.

Statement 2. 132 = 3x + 54

Statement 3. x = 26

6 0
3 years ago
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