Answer:
BC = 24
Step-by-step explanation:
FD = 36, FE = 15 and CD = 18
By secant theorem.
DE • DF = CD • DB
(36 - 15) • 36 = 18 • DB
DB = 42
BC = DB - CD
BC = 42 - 18
BC = 24
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)
Step-by-step explanation:
You can solve systems of equations using either substitution or elimination. For these problems, I recommend elimination. I'll do the first one as an example.
-3x + 16y = 9
-4x + 8y = 12
Multiply the second equation by -2.
8x − 16y = -24
Add to the first equation (notice the y's cancel out).
(-3x + 16y) + (8x − 16y) = 9 − 24
5x = -15
Solve for x.
x = -3
Now you can plug this into either equation to find y.
-3(-3) + 16y = 9
9 + 16y = 9
y = 0
The solution is (-3, 0).
Notice the picture below
now, if the arc "x" is 48°, and the arc across the circle is also 48°, then those chords are congruent, notice the chords in red
Answer:
1000 runners
Step-by-step explanation:
Take total number of runners to be -----------x
90% of x managed to complete the marathon= 90/100 × x =0.9x
30% of those who completed the marathon were men= 30% × 0.9x
=0.3×0.9x= 0.27x
=270 men completed the marathon; this means
0.27x=270--------------------------------find x by dividing both sides by 0.27
x= 270/0.27
x=1000 runners
