Answer:
x = 72
Step-by-step explanation:
2/3x + 6 = 1/2x + 1/4x
2/3x + 6 = 3/4x
3/4 - 2/3 = 1/12
6 = 1/12x
Multiply 6 by 12 to get x
x = 72
Answer:
7234.56 in³
Step-by-step explanation:
4/3πr³
4/3 (3.14)(12)³
7234.56 in³
Answer:
216 degrees
Step-by-step explanation:
Given that ABCDE is a regular pentagon.
Hence each angle would equal = {2(5)-4}/5 right angles
=6(90)/5 =108 degrees
Since regular pentagon rotation will not disturb the shape.
When counterclockwise rotated, if 108 degrees rotated A would become E.
For another 108 degrees A would come to D
Hence angle required for rotation for A to coincide with D = 2(108)
=216 degrees
Answer:
70
Step-by-step explanation:
An angle formed by 2 tangent lines is equal to one half the measure of the major arc minus the measure of the minor arc.
we are given the minor arc ( 110 ) however we are not given the major arc.
Because circles make a 360 degree rotation we can find the major arc by subtracting the measure of the minor arc from 360
Thus, major arc = 360 - 110 = 250
Now that we have identified the major and minor arc we can find x
Recall that x = 1/2 ( major arc - minor arc )
Thus, x = 1/2 ( 250 - 110 )
250 - 110 = 140
140 / 2 = 70
Hence, x = 70
