Answer:
Step-by-step explanation:
By the triangle sum theorem, the sum of angles in a triangle is equal to 180°. Therefore, m∠A + m∠B + m∠C = 180°. Using the Substitution property
(6x)° + 90° + (x+6)° = 180°
To solve for x, first combine the terms to get (7x + 96) = 180°
Using the Subtraction property of equality,
7x = 84.
Then using the division property of equality x = 12.
To find the measure of angle A,
Use the subtraction property to get m∠A = 6(12)°.
Finally simplifying the expression gets m∠A = 72°.
Answer:
Step-by-step explanation:
Answer:
y+30
Step-by-step explanation:
the sum of the numbers is 15y
the new sum after increase each number by 30 is 15y+450
the new mean 15y+450/15
= y+30
Answer:
The function notation is given as:
$6 + $30 × x
f(x) = $6 + 30x
The dog walker charges $28.50
Step-by-step explanation:
Let the hourly rate be represented by x
A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30.
The function notation is given as:
$6 + $30 × x
F(x) = $6 + 30x
How much does the dog walker charge for a 45 minute walk?
We have to convert 45 minutes to 1 hour
60 minutes = 1 hour
45 minutes = x
x = 45/60
x = 3/4(hour)
Putting that in the function notation:
f(x) = $6 + 30x
x = 3/4
$6 + 30(3/4)
$6 + $22.5
= $28.50
Therefore, the dog walker charges $28.50
