(A) Vertical angles are congruent
Answer:
It is 6%, as 360 is earned each year.
Step-by-step explanation:
Step 1: Add the two equations together to get just one equation.
2x + y + x - y = 5 + 1
Step 2: Simplify.
3x = 6
Step 3: Divide by 3 on both sides.
3x / 3 = 6 / 3
x = 2
Therefore, the answer is x=2
Answer:
B = 34.2°
C = 58.2° or 121.8°
c= 10.6
Step-by-step explanation:
Step 1
Finding c
We calculate c using Pythagoras Theorem
c²= a² + b²
c = √a² + b²
a= 8, b = 7
c = √8² + 7²
c = √64 + 49
c = √(113)
c = 10.630145813
Approximately c = 10.6
Step 2
Find B
We solve this using Sine rule
a/sin A = b/sin B
A = 40°
a = 8
b = 7
Hence,
8/sin 40° = 7/sin B
8 × sin B = sin 40° × 7
sin B = sin 40° × 7/8
B = arc sin (sin 40° × 7/8)
B ≈34.22465°
Approximately = 34.2°
Step 3
We find C
Find B
We solve this using Sine rule
b/sin B = c/sin C
B = 34.2°
b = 7
c = 10.6
C = ?
Hence,
7/sin 34.2° = 10.6/sin C
7 × sin C = sin 34.2 × 10.6
sin C = sin 34.2° × 10.6/7
C = arc sin (sin 34.2° × 10.6/7)
C = arcsin(0.85)
C= 58.211669383
Approximately C = 58.2°
Or = 180 - 58.2
C = 121.8°
Answer:
y=-x+2
Step-by-step explanation:
its asking y=mx+b
m slope (rise/run) --> rises up 2 for every time it moves over -2 times
so slope is -1
b= y intercept = 2
