We know that since a diameter splits a circle in half, the arcs EF, FG, and GH must add up to 180°, half the measure of a full circle. We can then use the arc addition property to create an equation using the information we know. This equation would be (10x + 8) + 67 + 11x = 180. This can be simplified to x = 5. Therefore, the value of x is 5. Now, we can simply plug in the value of x into the expressions for EF and GH. This means that the measure of EF is 58° and the measure of GH is 55°.
Hope this helps!
Since angle A = Angle B, I believe you would write it out like this:
6x+12=3x+63
subtract 3x from both sides, then subtract 12 from both sides.
3x=51
divide 51 by 3 to find x.
x=17
Now to find the measure of angle A.
A = 6(17)+12
A = 102+12
A = 114, angle A is 114 degrees.

There are pi radians in 180 degrees. Therefore to convert degrees to radians we need to divide by 180 and multiply by pi, as follows:
Answer:
Yes
Step-by-step explanation:
Anything that ends in an even number is divisible by 2.
Answer:
Hence final answer is $15.17
Step-by-step explanation:
Given that Dirk opened up a savings account with $600.
So P=$600
"At a yearly interest rate of 5 percent"
Means r=5% = 0.05
"compounded monthly" means n=12
i= monthly rate of interest = r/n=0.05/12
"how much interest will Dirk earn in six months." means find Interest when time is 6 months
Plug these values into compound interest formula:





A=615.169372966
which is approx
A=615.17
Now interest earned will be difference of A and P
Interest =A-P=615.17-600=$15.17
Hence final answer is $15.17