Answer:
Step-by-step explanation:
1). Since, both the angles are vertically opposite angles,
Measure of both the angles will be same.
6x = 30
x = 5
2). Since, both the angles are the linear pair of angles,
(4 + 5x)° + (x + 2)° = 180°
6x + 6 = 180
6x = 180 - 6
x = 
x = 29
Therefore, (4 + 5x)° = 4 + 5(29)
= 149°
And (x + 2)° = (29 + 2)
= 31°
3). Since, both the angles are linear pair of angles,
5x° + (3x + 12)° = 180°
8x + 12 = 180
8x = 180 - 12
x = 
x = 21
Therefore, 5x° = 5(21)
= 105°
(3x + 12)° = 3(21) + 12
= 75°
Answer:
A
Step-by-step explanation:
Answer:
Future value, A = $642
Step-by-step explanation:
Given the following data;
Principal = $500
Interest rate = 5% = 5/100 = 0.05
Time, t = 5 years
n = 365
To find the future value, we would use the compound interest formula;
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
Future value, A = $642
Answer:
yes
Step-by-step explanation:
47 -14i
You can work this out in the straight-forward way, or you can recognize that (6-i) is a common factor. In the latter case, you have ...
... = (6-i)(5 + 3-i)
... = (6 -i)(8 -i)
This product of binomials is found in the usual way. Each term of one factor is multiplied by each term of the other factor and the results summed. Of course, i = √-1, so i² = -1.
... = 6·8 -6i -8i +i²
... = 48 -14i -1
... =
_____
A suitable graphing calculator will work these complex number problems easily.
