Answer
Find out the length of line segment GF .
To prove
In Δ GEF is a right triangle .
As shown in the diagram
GE = 10 units
EC = 7.5 units
By using the pythagorean theorem
Hypotenuse² = Perpendicular² + Base²
GC² = GE² + EC²
= 10² + 7.5²
= 100 + 56.25
= 156 .25
GC = 12 .5 units
As shown in the diagram
CF is the radius of a circle .
CF = 7.5 units (As in the figure EC = 7.5 units)
GF = GC + CF
= 12 .5 units + 7.5 units
= 20 units
Therefore option (d) is correct .
Hence proved
The measurement of ∠KNL is 102°
First, you must set up an equation to find x.
Then, you must simplify both sides of the equation.
Next, subtract 3x on both sides.
Then, subtract 2 on each side.
Next, divide 2 on each side.
Now that we have the value of x, we can substitute it in for angle KNL.
°
<u>Answer:</u>
Rhonda will not fall 264 times in 360 jumps.
<u>Solution:</u>
Given, The ratio of jumps to falls for ice skater Rhonda is 4 falls to every 15 jumps.
We have to find At this rate, how many times will she not fall in 360 jumps.
Now,
For 15 jumps → 4 falls
For 360 jumps → n falls
Now apply Chris cross method,
So, she falls 96 times in 360 jumps.
Then, number of times she will not fall = 360 jumps – 96 falls = 264 times.
Hence, Rhonda will not fall 264 times in 360 jumps.