Assuming we have parallel lines, we can solve for x.
Since a = 3x - 10 (vertically opposite angles are equal),
3x - 10 = 2x + 15 (alternate angles are equal)
x = 25
Hence, angle a = 3(25) - 10 = 65°
The point of intersection of the two lines is at (1,-1)
<h3>System of equation</h3>
The given system of expression is shown below
x - 2y = 3
5x + 3y = 2
The solution to the system of equation is the point of intersection
From equation 1
x = 3 + 2y
Substitute into 2
5(3+2y) + 3y = 2
15 +10y + 3y = 2
13y = -13
y = -1
Substitute y = -1 into 3
x = 3 + 2y
x = 3+(-2)
x = 1
Hence the point of intersection of the two lines is at (1,-1)
Learn more on system of equation here: brainly.com/question/25976025
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9514 1404 393
Answer:
∠N = 10°
Step-by-step explanation:
Assuming the marked point on segment LN is supposed to be the center of the circle, arc NML is 180°, so arc ML is 180° -160° = 20°.
Arc ML is intercepted by inscribed angle LNM, so the measure of that angle is half the arc measure:
∠N = (1/2)(20°) = 10°
Answer:
x = -10
Step-by-step explanation:
2(x + 3) = x - 4
2x + 6 = x - 4
2x - x = -4 - 6
x = -10
Answer: 29/3 into a mixed fraction would be 9 2/3
I hope I helped you. Have a great day!
Step-by-step explanation:
Simplify:
29/3 = 9 2/3
