Given: AD and EG, transversal CH ∠ABC and _______ are same side exterior angles
2 answers:
Answer:
∠EFH
Step-by-step explanation:
If AB and CD are parallel lines and EF is a transversal line, then angles formed on the same side of the transversal line and are exterior to the parallel lines are same side exterior angles.
Same side exterior angles theorem states that same-side exterior angles are supplementary.
From the image attached below:
∠ABC and ∠EFH are same side exterior angles, therefore:
∠ABC + ∠EFH = 180°
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Answer:
y = 4/5x + 3/5
Step-by-step explanation:
In the slope-intercept form, y = mx + b, we need to find the values of the slope (m) and the y-intercept.
Using points (-7, -5) and (3, 3), we can calculate for the slope of the equation given the formula:
Let (x1, y1) = (-7, -5)
and (x2, y2) = (3, 3).
Plug the given values into the slope formula:
Therefore, the slope of the line is 4/5.
Next, we need to find out the value of the y-intercept (b).
We can use one of the given points, (3, 3), along with the slope (4/5) to solve for the y-intercept:
y = mx + b
3 = 4/5(3) + b
3 = 12/5 + b
Subtract 12/5 from both sides:
3 - 12/5 = 12/5 - 12/5 + b
3/5 (or 0.6) = b
Therefore, the y-intercept is 3/5.
We can now establish our linear equation as:
y = 4/5x + 3/5
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