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:
use s=r0
but first convert 360 degree to radian
you will get 6.284 radian
then you substitute and get the answer!
12= r (6.284)
r= 1.91 cm
Answer:
Step-by-step explanation:
the shape looks like a cube.. and maybe they say something about that outside of the picture, even but assuming that it is a cube, we know all the sides are the same.
we also know that the area of one side of the cube is 3 
so multiply that
W x L = area
3 * 3 = area
10 
= area
10.5625 = area
those two answer above are the same .. just one is in fractions and one is in decimals
there are 6 sides on a cube, so multiply the above answer by 6
6* answer = 63.375
63 
( this is your answer)
both of those are also identical , but look different for the reasons I mentioned above
use which ever from seems better to you. :)
Answer:
v = 126°
Step-by-step explanation:
Since 54° and u are corresponding angles in parallel lines, they are equal, hence, u = 54°. u and v are Same Side Interior angles. In parallel lines, Same Side Interior angles are supplementary (meaning that they add up to 180°), therefore, v = 180 - u = 180 - 54 = 126°.
Answer:
29.714
Step-by-step explanation:
12/3 (52/7) = 4 *( 52/7) = 29.714
