Answer:
x = 23
Step-by-step explanation:
The marked angles are "corresponding," hence congruent:
8x -27 = 7x -4
x = 23 . . . . . . . . . add 27-7x to both sides
Answer:
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Step-by-step explanation:
<span>If two parallel planes are cut by a third plane, then the lines of intersection are parallel and cannot intersect one another.</span>
Given that

and

, if

is an arithmetic sequence, then the common difference between successive terms is

.
You then have




So the explicit formula for the

th term is
Answer:
x <5
Step-by-step explanation:
2(4 x + 3) < 5 x + 21
Distribute
8x +6 < 5x +21
Subtract 5x from each side
8x -5x +6 < 5x-5x+21
3x +6 < 21
Subtract 6 from each side
3x+6-6 <21-6
3x <15
Divide each side by 3
3x/3 <15/3
x <5