The graph of y = (3/8)x - 5 and y = (3/8)x + 2 are parallel since both graphs have the same slope.
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The graph of two equations is parallel if the slope of each of the equations is the same.
The two equations are:
y = (3/8)x - 5 _____(1)
y = (3/8)x + 2 _____(2)
This is in the form of y = mx + c
Where m is the slope.
Now,
From (1 ) and (2) we see that,
m = 3/8
Thus,
The graphs are parallel.
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O4(5) + 4
4+5+4
O4(5+4)
5(4+4)
Answer:
Step-by-step explanation:
20 + 16
= 4 (5 + 4)
= 4(5) + 4(4)
= 20 + 16
therefore, the answer is 4 (5 + 4)
Answer:
Step-by-step explanation:
From the picture attached,
Statements Reasons
1). In ΔABC, DE intersects AB and AC 1). Given
2). DE║BC 2). Given
3). ∠ADE ≅ ABC 3). Corresponding angles postulate
4). ∠AED ≅ ∠ACB 4). Corresponding angles postulate
5). ΔADE ~ ΔABC 5). AA similarity postulate
6). 6). Definition of two similar triangles
Hence proved.
AFC
BFC
DFE
Answer:
The triangle that seems to be congruent to triangle AFD is triangle AFC.
Step-by-step explanation:
As in the give triangle AFD, there is an obtuse angle, i.e angle AFD is obtuse angle.
So, in order to have a congruent triangle, the another triangle must have an obtuse angle.
From the given triangles, only triangle AFC has an obtuse angle and that is angle AFC. And they also share a side, so the chances of congruency is more in this case.
Triangle BFC and Triangle DFE does not have an obtuse angle.