Answer:
y=mx+b
Step-by-step explanation:
Answer:
-0.4
Step-by-step explanation:
Answer:
Please check the explanation.
Step-by-step explanation:
Part a)
Given that the two parallel lines are crossed by a transversal line.
Given that
m∠2 = 2x + 54 and m∠6 = 6x - 11
Angle ∠2 and ∠6 are corresponding angles.
Corresponding angles are congruent.
Thus,
m∠2 = m∠6
2x + 54 = 6x - 11
flipe the equation
6x - 11 = 2x + 54
subtract 2x from both sides
6x - 2x - 11 = 2x - 2x + 54
4x - 11 = 54
adding 11 to both sides
4x - 11 + 11 = 54 + 11
4x = 65
dvide both sides by 4
4x/4 = 65/4
x = 16.2500 (round to 4 decimal places)
Part b)
We have already determined
x = 16.2500
Given
m∠2 = 2x + 54
substitute x = 16.2500 in the euation
= 2(16.2500) + 54
= 86.5°
As angle ∠2 and angle ∠1 lie on a straight line. Hence, the sum of their angles must be 180°.
i.e.
m∠1 + m∠2 = 180°
substituting m∠2 = 86.5° in the equation
m∠1 + 86.5° = 180°
subtracting 86.5° from both sides
m∠1 + 86.5° - 86.5° = 180° - 86.5°
m∠1 = 93.5°
Therefore, the measure of angle m∠1 is:
Answer:
Step-by-step explanation:
(3x + 2) + (x - 4) = 90
4x - 2 = 90
4x = 92
x = 23
m∠A = (3(23) + 2) = 71°
Answer:
The circumference of a circle is the distance around the entire circle, while arc length, s, is the distance <u>between</u> two points on the circle.
C = 2πr = 2π( <u>5</u><u> </u>) = 10π ≈ 31.4 units
3.14 is an approximation for π.
s = θ/360° (C)
mAB = 60°/360° ( 31.4)
= <u>1</u><u>/</u><u>6</u>(31.4) ≈5.2 units
