Based on the graph, which statement is correct about the solution to the system of equations for lines K and J?

Mathematics

2 answers:

Whitepunk [10]4 years ago

7 0

Your answer is A) (1,1) is the solution to both lines K and J

That's because the solution to a system of equations has to be the solution to both of the lines. Also, both of the lines intersect at the point (1,1).

german4 years ago

7 0

Look at the graph and look where the point lyes.
It lyes on 1,1. They intersect at 1,1.Your answer will be A.

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I’m confused on this one

kvv77 [185]

The answer is 42.

The question is asking for angle N. We know from the question that angle N is equal to angle E (Don't think about the scale factor because it only applies to the sides. They're just trying to trick you).

To find angle E:
$79 + 6x + 11 + 7x - 14 = 180$
Move numbers to the right side:
$6x + 7x = 180 - 79 - 11 + 14$
Combine like terms:
$13x = 104$
Divide both sides by 13:
$x = 8$
The formula for angle E:
$7x - 14$
Plug in the 8:
$7 \times 8 - 14 = 56 - 14 = 42$
The angle measure of E is 42. So angle N is automatically 42 too.

To solidify, we can try to use the formula which they give us for angle N:
$3x + 18 = 24 + 18 = 42$