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:
There is no question stated. If one assume the question is "Does the probability of picking the same color pen change after the first try?," the answer is "No."
Step-by-step explanation:
When the pen is replaced, the probability reverts back to the original value:
There are 7 pens:
5 Blue
2 Red
The probability of picking a red or blue pen on the first try is:
Red = 2/7
Blue = 5/7
When the pen is replaced, the probabilities return to the original values.
Answer:5
Step-by-step explanation:
<h3><u>(8 + 2)</u> <u>sum of values </u> = <u>10</u> = 5</h3><h3> 2 number of values 2</h3><h3 />
There is equal spacing between the mean and the extremes
8 - 5 = 3
5 - 2 = 3
Answer:
The equation for the amount of dollars pledged in total is f(M) = 2.00M + 7.25, and the amount for just Kiara is f(M) = 0.25M + 5.25
Step-by-step explanation:
The amount they pledge up front is a constant and therefore need to be added to the end of the equation. The amount per mile should be a variable amount. This gets multiplied by the M variable. So we start with the Kiara amount.
0.25 per mile = 0.25M
5.25 pledged = 5.25
Now put them together to get f(M) = 0.25M + 5.25
Do the same with Mark.
1.75 per mile = 1.75M
2.00 pledged = 2.00
Now put them together to get f(M) = 1.75M + 2.00
To get the final total, we add both equations together.
f(M) = 0.25M + 5.25 + 1.75M + 2.00
f(M) = 2.00M + 7.25
