Answer:
C) 5
Step-by-step explanation:
The measure of angle TSU is 75°. (180° - 105° because it is a flat angle)
The sum of all the angles of a triangle is 180° as well.
You can write an equation to solve for x.
12x + 9x + 75 = 180
Isolate x.
12x + 9x = 180 - 75
12x + 9x = 105
Add the 12 and the 9.
21x = 105
Find what x is.
x = 105 ÷ 21
x = 5
Use similar triangles
distance of man from puddle = 0.5 m.
distance of puddle from tower = 13 - 0.5 = 12.5 meters
so we have 2 similar triangles
one has height 2 m and base 0.5 m and the other has height x m ( the tower) and base 12.5 m
Corresponding sides are in the same ratio, so
2 / x = 0.5 / 12.5
0.5x = 2*12.5 = 25
x = 25 / 0.5 = 50 m
The tower is approx 50 m high.
Answer:
Exterior Angle = 36 degrees
Step-by-step explanation:
<u><em>Each interior angle of a regular decagon measures 144 degrees.</em></u>
=> <u><em>We'll subtract 144 from 180 to get the measure of the exterior angle.</em></u>
=> Exterior Angle = 180-144
=> Exterior Angle = 36 degrees
Hi
Fractions that have a common denominator of 8, would be fractions that have denominators that, when multiplied, equal 8.
8/2 = 4
8/3 = 2.7
So the first option is incorrect.
8/4 = 2
8/2 = 4
The second option is correct.
The correct answer is 1/4 and 1/2
Hope this helps! :)
The graph is shown in the attached image.
