Answer:
the solution is (-4, 3)
Step-by-step explanation:
if you were to graph y = -7/4x - 4 you could plot your first point at (0, -4) and get your second point by going up 7 units (from (0, -4) and to the left by 4
if you were to graph y = -1/4x + 2 you could plot your first point at (0, 2) and get your second point by going up 1 unit (from (0, 2) and to the left by 4
the second point plotted for each equation will be the point of intersection, (-4, 3)
Answer:
angle A=54 degree
angle B =36 degree
Step-by-step explanation:
let angle B be x
angle A=x+18
since they are complementary angles sum of these two angles will be 90 degree
x+x+18=90
2x=90-18
2x=72
x=72/2
x=36 degree
substitute the value of x to find angle A and angle B
for angle A
x+18
36+18
54 degree
for angle B
angle B =x
=36 degree
180=11+2x
-11 -11
169/2=2x\2
x=84.5
Given:
Measure of arc FJ = 84°
Measure of arc GH = 76°
To find:
The measure of angle HKJ.
Solution:
The image of the question is attached below.
Angles inside the circle theorem:
If two chords intersect inside a circle, then the measure of each angle is one half the sum of the measures of the intercepted arc and its vertical arc.
Sum of the adjacent angles in a straight line is 180°.
⇒ m∠GKH + m∠HKJ = 180°
⇒ 80° + m∠HKJ = 180°
Subtract 80° from both sides.
⇒ 80° + m∠HKJ - 80° = 180° - 80°
⇒ m∠HKJ = 100°
The measure of ∠HKJ is 100°.
