Answer/Step-by-step explanation:
Given:
m<A = 115,
m<B = 78,
m<C = 35,
✔️m<1 = 180 - m<A (angles on a straight line/supplementary angles)
m<1 = 180 - 115 (substitution)
m<1 = 65°
✔️m<2 + m<1 + m<B = 180° (sum of interior angles of a triangle)
m<2 + 65 + 78 = 180
m<2 + 143 = 180
m<2 = 180 - 143 (substitution property of equality)
m<2 = 37°
✔️m<3 = 180° - m<B (supplementary angles)
m<3 = 180 - 78
m<3 = 102°
Answer:
Step-by-step explanation:
X + 61° = 90° {right angle}
X = 90° - 61°
X = 29°
Answer:
m<N = 32°
m(NQ) = 106°
Step-by-step explanation:
Inscribed angle = ½ of the measure of the intercepted arc (inscribed angle theorem)
<N is an inscribed angle
It's intercepted arc = arc MP = 64°
Therefore,
m<N = ½(64°)
m<N = 32°
m<P = ½(m(NQ)) (inscribed angle theorem)
53° = ½(m(NQ))
Multiply both sides by 2
2*53° = m(NQ)
106° = m(NQ)
m(NQ) = 106°
C. because 8/8 is equal to 1 and 3 1/4 x 1 is 3 1/4
Answer: The equation is x = 2
Step-by-step explanation:
The equation of the line parallel to the y-axis and passes through (2,4), is x= 2. This is because the y -axis is a vertical line whose equation is x=0, hence a line parallel to it must also be vertical , which is x = c, in this case passing through (2,4),so that its equation is derived from the x-coordinate of (2,4).
