Answer:
Step-by-step explanation:
First find the slope of the given line.
y - 3 = 1/3(x+2)
y - 3 = (1/3)x + 2/3
y = (1/3)x + 2/3 + 3
y = (1/3)x + 11/3
Compare it with
y = mx + c
We get m = 1/3
As the parallel lines have same slope, the slope of the second line will also be m= 1/3
y = mx + c
y = (1/3)x + c
As this line goes through the point (1,7), substitute it in the equation:
7 = (1/3)1 + c
7 = 1/3 + c
c = 7 - 1/3
c = 21-1/3
c = 20/3
The equation of the line is found by substituting m = 1/3 and c = 20/3 into the general equation
y = mx + c
y = (1/3)x + 20/3
Graph of the equation is shown
<h3>
Answer: 1.8x - 4</h3>
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Explanation:
Subtract the two expressions
Tomas - Angie = (3x) - (1.2x+4) = 3x - 1.2x-4 = 1.8x-4
This represents how many more miles Tomas jogged compared to Angie.
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A more concrete example would be to say hypothetically
Tomas = 10 miles
Angie = 4 miles
So Tomas - Angie = 10-4 = 6 means he jogged 6 more miles than Angie.
That's why we subtracted. The order of subtraction matters. Saying 10-4 is different from 4-10.
The answer is 285 miles
x = 3.8×150/2
x = 570/2
x = 285 miles
Answer:
the length measure of OP is 35 yd
Step-by-step explanation:
The problem says that the two shapes are congruent. This means they have the same length and angle measurements. So, in order to find out what OP is, you have to find its corresponding part which is WX. The measurement of WX is 35 yd which means that the measurement of OP is also 35 yd because they are corresponding side lengths therefore being the same.