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mylen [45]
3 years ago
9

Triangle A'B'C' is a rotation of triangle ABC by 60 degrees using Q as the center.

Mathematics
1 answer:
deff fn [24]3 years ago
7 0

9514 1404 393

Answer:

  see below

Step-by-step explanation:

When a figure is rotated about a center point, the central angle formed by any point on the figure and the corresponding image point will be the rotation angle. Every image point is the same distance from the center of rotation that the pre-image point was. No lengths or angles are changed: rotation is a "rigid motion", so the rotated figure is congruent with the original.

__

-Angle AQA' is 60 degrees.

-Triangles ABC and A'B'C' are congruent.

-Angle ABC is congruent to angle A'B'C'. (<em>this is one of the angles of the congruent triangles</em>)

-Segment BC is congruent to segment B'C'

-Segment AQ is congruent to segment A'Q.

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At a certain time of day 1.8m tall person standing next to the Washington monument cast a 0.7m shadow at the same time the Washi
mezya [45]

Answer:

169 m

Step-by-step explanation:

See the image below.

Line AB represents the monument and line BC its shadow

Line DB represents the man and Line BE it shadow.

The Sun’s rays are parallel, so AC||DE.

Then ∆ABC ~ ∆DBE

AB:BC::DB:BE

x/65.8 = 1.8/0.7     Multiply both sides by 65.8

       x = 65.6 × 1.8/0.7  

       x = 65.6 × 2.571

       x = 169 m

The height of the Washington monument is 169 m.


8 0
3 years ago
on another training ride Janet box 15 miles in 50 minutes explain how you could find the number of miles she bikes in 1 hour​
Yanka [14]

Answer: 1.2miles

Step-by-step explanation:

Divide 15 by 50 to get how far she rides in 1 minute that multiply that by 60 to get how far she rides in 1 hour.

3 0
3 years ago
Which of the following has a graph that is a stight line?
Y_Kistochka [10]
Equation 1- does a u up so that is not stight  
equation 2- does a straight line down in the y-axis but has a small curve
equation 3- does a stight line
equation 4- you sure that right 

but if i had to choose i would go with equation 3, hope it helped

6 0
3 years ago
PLEASE HELP! LOVE YOU!
saw5 [17]

the base must be raised

for example

log_{10} 55 = n ( the base is 10 ), then

55 = 10^{n}


3 0
3 years ago
A 14.5-gallon gasoline tank is 3/4 full. How many gallons will it take to fill the tank? Write your answer as a mixed number.
marta [7]
The answer is 3 5/8.
5 0
3 years ago
Read 2 more answers
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