Answer:
m∠6 = 116°
Step-by-step explanation:
<u>first find x:</u>
7x - 17 = 2x + 78
subtract 2x from both sides: 5x - 17 = 78
add 17 to both sides: 5x = 95
divide by 5: x = 19
<u>plug x into 7x - 17</u>
7(19) - 17 = 116
∠6 and 7x - 17 are vertical angles and therefore congruent, so m∠6 also = 116°
Answer:
.
Step-by-step explanation:
Please consider the complete question.
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He gained weight at a rate of 5.5 kilograms per month. After 11 months, he weighed 140 kilograms. Let W(t) denote the sumo wrestler's weight W(measured in kilograms) as a function of time t (measured in months).
Since wrestler gained weight at a rate of 5.5 kilograms per month, so slope of line be 5.5.
Now, we will use point-slope form of equation as:
, where,
m = Slope
= Given point on the line.
Upon substituting coordinates of point (11,140) in above formula, we will get:




Therefore, our required function would be
.
1 unit right 7 units down is the translation
Using the formula for interest:
F = P (1 + r/n)^t
Where:
F = future value
P = Principal value
r = interest rate per year
n = interest period
t = duration
Substituting the given values:
F = 200 (1 + 0.32/12)^1
F = 205.33
To obtain the interest, we subtract the principal value from the future value. This is shown below:
Interest = 205.33 - 200 = 5.33
Among the choices, the answer is A.
Answer:
7036888693
Step-by-step explanation: