Answer: 77°
Step-by-step explanation:
First we are going to find x and then insert it in 18x +5 to be able to get our <WZX
But to find x, we will have to apply the the exterior angle theorem
The exterior angle theorem state that : the exterior angle is equal to the sum of the two opposite interior anges
Using this theorem, then from the diagram above ;
18x + 5 = 48 + 8x - 3
we collect like term
18x - 8x = 48-3-5
10x = 40
Divide bothside by 10
10x/10 = 40/10
x = 4
but <WZX = 18x + 5
Then we substitute x=4
<WZX = 18(4) + 5
<WZX = 72 +5
<WZX =77
Therefore the measure of <WZX is 77°
X- 6/4=7
x-6=7×4
x-6=28
x=28-6
x=22
Answer:
Point in Quadrant I
Step-by-step explanation:
the lines will overlap in quadrant I (the positive quadrant)
The slope of the line MN where M (9,6) and N (1,4) can be obtained by obtaining the rate of the rise over the run. This is shown below:
(y2 - y1)/(x2 - x1) = (4 - 6)/(1 - 9) = (-2)/(-8)
m1 = 1/4
The slope of the line perpendicular to line MN can be obtained by taking the negative reciprocal of the slope of line MN.
m1 = 1/4
m2 = -1/m1 = -1/(1/4) = -4
Therefore, the slope of the line perpendicular to line MN is -4.
Theorem: If two chords intersect within a circle, then the product of the lengths of the segments (parts) of one chord is equal to the product of the lengths of the segments of the other chord.
In oyur case,
Solve this equation to find x:
Answer: 6, choice B.
