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<span>System 1 and system 3, because the second equation in system 3 is
obtained by adding the first equation in system 1 to three times the
second equation in system 1.</span>
Answer:
C
Step-by-step explanation:
∠ AFD = ∠ AFB + ∠ BFC + ∠ CFD
The 3 angles form a straight angle and sum to 180°, that is
4x + 5 + 6x + 3 + 5x + 7 = 180, that is
15x + 15 = 180 ( subtract 15 from both sides )
15x = 165 ( divide both sides by 15 )
x = 11
∠ CFD = 5x + 7 = 5(11) + 7 = 55 + 7 = 62°, thus
∠ AFE = ∠ CFD = 62° ( vertical angles are congruent )
Answer:
The equation would be B) y = 5x + 17
Step-by-step explanation:
To start, you need to locate the slope of the first equation. Since the slope is the coefficient of x, we know it to be -1/5. Now, the perpendicular slope is the opposite and reciprocal of that, which makes the new slope 5.
Now that we have this, we can use the point and the slope in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 7 = 5(x + 2)
y - 7 = 5x + 10
y = 5x + 17