Answer:
20
Step-by-step explanation:
3x + x + 100 = 180 (sum of angles on a straight line)
4x = 180-100
4x=80
divide both sides by 4
x=20
Answer:
Step-by-step explanation:
The form of equation of line given in the problem is the point-slope form of a line. That is given by:
We need 
and m (denoted by boxes)
is the y coordinate of the first set of points.
The first coordinate pair is (9,7), so would be 7
Now, the slope (m).
It has formula
So, x_1 = 9
y_1 = 7
x_2 = 4
y_2 = -8
Substituting, we get the slope to be:
Hence, the equation of the line in point-slope is:
Answer:
17/24
Step-by-step explanation:
Let us assume that total amount of Nathan's allowance = x
Amount of money deposited by Nathan into his savings account = 7x/9
Remaining amount that Nathan spent = $2.50
Now we have to get to the equation for solving the question asked.
7x/9 + 2.50 = x
7x + (9 * 2.50) = 9x
7x + 22.50 = 9x
22.50 = 9x - 7x
22.50 =2x
x = 22.50/2
= 11.25
So $11.25 is the total allowance of Nathan.
Then The amount of money deposited by
Nathan in savings account = (7/9) * 11.25
= 78.75/9
= 8.75
So Nathan deposits $8.75 in his savings account.
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