Vertical angles are equal
7x - 19 = 4x + 2
7x - 4x = 2 + 19
3x = 21
x = 21/3
x = 7
m∠ABC = 4x + 2 = 4*7 + 2 = 28 + 2 = 30°
Answer:
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Step-by-step explanation:
Answer:
Credit remaining after 21 minutes = $30.4
Step-by-step explanation:
Credit remaining on a phone card is a linear function of the total calling time.
When graphed, let the linear function representing the line is,
y = mx + b
Where 'm' = slope of the line
b = y-intercept
From the graph,
Slope of the line = -0.12
y = -0.12x + b
If this line passes through a point (33, 28.96),
28.96 = -0.12(33) + b
b = 28.96 + 3.96
b = 32.92
Therefore, the linear function is,
f(x) = -0.12x + 32.92
where x = calling time
Credit left in the card after 21 minutes,
f(21) = -0.12(21) + 32.92
= -2.52 + 32.92
= $30.4
Answer:
d is the answer
Step-by-step explanation:
perimeter of rect = 2(7+3) = 20
perimeter of square = 4 a =20
a = 5
<u>Answer:</u>
x = 0.417 or x = -0.917
<u>Step-by-step explanation:</u>
We are given the following expression and we are to solve it for the variable x:
We will find the least common multiple of 2. 6 and 9:
Simplifying it to get:
Using the quadratic formula to solve for x:
or 
or 
