Given: m∠mej=30°, m∠mfj=50° , find: measurement of arc kl & measurement of arc mj

Part a) The measurement of arc KL is

Part b) The measurement of arc MJ is

Step-by-step explanation:

Let

x--------> the measure of arc KL

y-------> the measure of arc MJ

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

substitute the given value

------> equation A

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

substitute the given value

------> equation B

Equate the equation A and B and solve for x

Find the value of  y

therefore

The measurement of arc KL is

The measurement of arc MJ is

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.