Answer:
Option (C)
Step-by-step explanation:
From the picture attached,
Two lines 'h' and 'k' are the parallel lines and a transversal 'n' is intersecting these parallel lines at two distinct points.
By the theorem of alternate interior angles, angle 8 and angle 11 will be equal in measure.
∠8 ≅ ∠11 [Alternate interior angles]
m(∠8) = m(∠11) = 118°
Therefore, Option (C) will be the answer.
Answer:
{y = 15/8 - (9 x)/8, y = -(7 x)/8 - 2}
{9 x + 8 y = 15, 7 x + 8 (y + 2) = 0}
Step-by-step explanation:
Answer: Four is the exterior angle.
Step-by-step explanation:
34). take the value on the right and subtract the value on the left.
PQ = -52 - -137 = 85
QR = 91 - -52 = 143
36). if M is the midpoint of LN, then M divided the segment in to 2 equal pieces. Thus, LM =LN.
or,. 8(x-2)=4(x+2)
8x-16=4x+8
4x=24
x=6
LM is 32,. LN= 64
Answer:
x = 8
Step-by-step explanation:
The line segment inside the triangle is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is
=
( cross- multiply )
6x(11x - 4) = 63x² ← distribute left side
66x² - 24x = 63x² ( subtract 63x² from both sides )
3x² - 24x = 0 ← factor out 3x from each term on the left side
3x(x - 8) = 0
Equate each factor to zero and solve for x
3x = 0 ⇒ x = 0
x - 8 = 0 ⇒ x = 8
But x > 0 , then x = 8