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:
We know that
area of a rectangle=length*width
length=area/width
area=2.76 x 10^12 units²<span>
width=4.6 x 10</span><span>^5 units
</span>length=2.76 x 10^12/4.6 x 10^5 ------> 6 x 10^6 units
perimeter of a rectangle=2*[length+width]
width=4.6 x 10^5 units----> is equal to 0.46 x 10^6 units
length=6 x 10^6 units
perimeter of a rectangle=2*[6x10^6+0.46x10^6]----> 12.92 x 10^6 units
the answer is
12.92 x 10^6 units
C because it is and I am in 12 grade I no this
