Here is the first one:
5/6 = 10/m multiply both sides by 'm'
5/6 m = 10 now multiply both sides by 6/5
m = 10 * 6/5 = 12
You can do the second one now.... it is easier....
angle 1 is TWICE the value of angle two
angle 1 = 360 - 160 - 175 = 25 degrees angle 2 = 12.5 degrees ( drawing is not to scale)
SInce the midpoint cuts the line into two equal pieces:
6x+1 = 8x-7
6x+8 = 8x
8 = 2x
x = 4 now you can compute JK and KL ( they are equal)
Here is the image location:
https://us-static.z-dn.net/files/d10/1361ec469841e03bc44d9371f9b743cd.png
remember sin 30 = 1/2 cos 30 = sqrt 3 /2
sin30 = opp / hypot
1/2 = 21sqrt3 / x x = 42 sqrt 3
cos 30 = sqrt3/2 = adj / hypot
sqrt 3 /2 = y / 42 sqrt 3
y = 63
Each 20 minutes there is 1/2 as much one hour is 3 half lives :
start 30 then 15 then 7.5 then 3.75 gm
30(1/2)3 = 3.75 gm
https://web2.0calc.com/questions/exponents_35
y = 3x + 4 is in y = mx + b form where m = slope = 3 parallel slope is also 3
2y = kx + 9 divide by 2
y = k/2 x + 4.5 k/2 has to equal 3 so k = 6
The arc intercepted is twice the measure of the inscribed angle
5x = 1/2 ( 9x+21)
10x = 9x + 21
x = 21 BAC = 5x = 105o
AK goes from -10 to +10 a distance of 20
CG goes from -6 to 2 a distance of 8
8 out of 20 chance 8/20 = 2/5 chance or 40% chance
