Step-by-step explanation:
A supplementary angle is an angle that is 180 degrees. We are given two angles that add up to 180, but we need to solve for x first.
The first step is to solve both angles. We know that both angles added together are supplementary, so they are equal to 180.
4x + 8 = unknown angle
6x + 3 = unknown angle
(4x + 8) + (6x + 3) = 180
Because we know a supplementary angle is 180 degrees, we can solve for x to find both angles.
Solve for x.
(4x + 8) + (6x + 3) = 180
10x + 11 = 180
10x = 169
x = 16.9
Now, we know the value of x, so we plug in x for both angles to determine which angle is smaller.
4x + 8
4(16.9) + 8
67.6 + 8 = 75.6 degrees
and the other angle
6x + 3
6(16.9) + 3
101.4 + 3 = 104.4 degrees
Now we know that the smaller angle is 75.6 degrees.
Also, to make sure the math is correct, when plugging in both numbers after finding x, they should add to 180.
75.6 + 104.4 = 180 so we know they are supplementary for sure.
Good luck!
Answer:
x=106 degrees
Step-by-step explanation:
I'm going to assume that this is a circle since you didn't give it to me
So you want to add 164 and 90 together and subtract the sum by 360
360-(164+90)=106
So you want to use PEMDAS (order of operations) to solve this
- so do what's in the perenthesis first so 164+90=254
- Then you want to subtract 254 from 360 so 360-254=106
x=106 degrees
Answer:
a = $31.23 per month
b = $20.83 per month
c = 249.98 = $249.98 interest charges
= $624-249.98 = 374.02 profit part decrease 8% inc.
d = 35.35%
e = Answer is in the name; basic payment is a contract which means whilst account remains open charges are requested without fail. Should balance be less or on zero, charges are still applied.
Step-by-step explanation:
2500 x 1.2499 = interest only for start month 13 =3124.75
3124.75/ 100 x 1.08 = 8% of this = 249.98 each year.
We only have to divide each by 12 to work out monthly individual charges and subtract to find out payments.
3124.75 - 249.98 = 2874.77 = Total after charges each year.
249.98/12 = 20.83 = monthly charges.
3124.75- 2500 = 624.75 payments each year
624.75/12 = 52.06 month 1 payment before charge
52.06-20.83 =31.23 total minimum payment
2500 + 249.98
Percentage = 200:600 = 1/3 33% + (comparing to ratio 10:25 closer to 40%)
We find ratio 200:600= 33.33 + 49.995/24.75 = 2.02
33+2.02 = 35.35%
Answer:
you don't, the fraction 
or 4/5
is already in its simplest form.
Step-by-step explanation:
if you want it as a decimal, simply divide.
numerator by the denominator
4 divided by 5
which is 0.8
