A straight line is 180°, so you add these two angles together because they make a straight line:
3x° + 75° = 180°
To find "x", isolate/get the variable "x" by itself in the equation. Subtract 75° on both sides
3x° + 75° - 75° = 180° - 75°
3x° = 105° Divide 3 on both sides to get "x" by itself
x = 35°
PROOF
3x° + 75° = 180° Substitute/plug in 35 into "x" since x = 35°
3(35)° + 75° = 180°
105° + 75° = 180°
180° = 180°
All you have to do is try out both of the equations with each of the different choices.
200 = 45 (3) + 20
200 = 135 + 20
200 = 155
200 = 35 (3) + 60
200 = 105 + 60
200 = 165
So, this one does not work.
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180 = 45 (3) + 20
180 = 135 + 20
180 = 155
180 = 35 (3) + 60
180 = 105 + 60
180 = 165
So, this one does not work.
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200 = 45 (4) + 20
200 = 180 + 20
200 = 200
200 = 35 (4) + 60
200 = 140 + 60
200 = 200
So this one works.
The answer would be C.
I hope this helps and I'm sorry it took so long!
Answer:
first, we put them in order
78,[80],83,(85),86,[87],90
Q1 = 80
Q2 (median) = 85
Q3 = 87
Interquartile range (IQR) = Q3 - Q1 = 87 - 80 = 7 <==
Hope this helps!
A = $992.00
(I = A - P = $192.00)
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year.
Solving our equation:
A = 800(1 + (0.04 × 6)) = 992
A = $992.00
The total amount accrued, principal plus interest, from simple interest on a principal of $800.00 at a rate of 4% per year for 6 years is $992.00.
Answer: The answer is 5
Step-by-step explanation:
2(n-5) - 10 +2N
