We know that m ║ n.
Let's first find the value 'x'.
When two lines are parallel, and a transversal is drawn, the angles on the same side of the transversal are equivalent.
This means that (5x + 16)° and (7x + 4)° are equivalent.
Equating them,
5x + 16 = 7x + 4
16 - 4 = 7x - 5x
12 = 2x
x = 12/2
x = 6°
Since we know the value of 'x', let's substitute them into the angles and find out the actual measurements.
5x + 16 = 5 × 6 + 16 = 30 + 16 = 46°.
7x + 4 = 7 × 6 + 4 = 42 + 4 = 46°.
Now let's find the value of 'y'.
If you observe carefully, (7x + 4)° and (y + 6)° form a linear pair.
This means that both those angles should add upto 180°.
Using that theory, the following equation can be framed:
(y + 6)°+ (7x + 4)° = 180°
Since we know the actual value of (7x + 4)°, let's substitute that value and move ahead.
(y + 6)° + 46° = 180°
y + 6 + 46° = 180
y + 52° = 180°
y = 180° - 52°
y = 128°
Therefore, the values of 'x' and 'y' are 46° and 128° respectively.
Hope it helps. :)
Answer:
11/20
Step-by-step explanation:
simplify 22/40
Answer: Please mark me brainliest, it will really help me just as this answer really helps you.
Description: Divide by two
Next three terms: 1/8, 1/16, 1/32
Explanation:
<em>How to get next term?</em>
Divide the number before by two to get the next term.
<em>How do you get the pattern?</em>
I observed a pattern that each next number was divided by two.
Answer:
A) y=.50x+15
B) The graph would be a line starting in the bottom left corner and rising to the upper right, the start of the y axis would be 1, as it represents the miles, and the start of the x axis would be 0.50, as it represents the amount of money charged per mile.
C) If you apply the formula y=mx+b to the equation, you will see that 0.50 is the slope, and 15 is the y-intercept.
