So,
First, I'd like to note that it is required to show work. You shouldn't need to ask for steps.
7(2p + 3) - 8 = 6p + 29
Distribute
14p + 21 - 8 = 6p + 29
Collect Like Terms
14p + 13 = 6p + 29
Subtract 6p from both sides
8p + 13 = 29
Subtract 13 from both sides
8p = 16
Divide both sides by 8
p = 2
Check
7(2(2) + 3) - 8 = 6(2) + 29
Simplify inside the parentheses first.
7(4 + 3) - 8 = 6(2) + 29
7(7) - 8 = 6(2) + 29
Now, distribute.
49 - 8 = 12 + 29
Collect Like Terms
41 = 41 This checks.
S = { 2 }
The answer is q=15
Hope this helps ya
<u>Question 6</u>
1)
,
, O is the midpoint of
,
(given)
2)
are right angles (perpendicular lines form right angles)
3)
are right triangles (a triangle with a right angle is a right triangle)
4)
(a midpoint splits a segment into two congruent parts)
5)
(LL)
<u>Question 7</u>
1)
are right angles), 
2)
(reflexive property)
3)
are right triangles (a triangle with a right angle is a right triangle)
4)
(LL)
5)
(CPCTC)
<u>Question 8</u>
1)
, point D bisects
(given)
2)
are right angles (perpendicular lines form right angles)
3)
are right triangles (a triangle with a right angle is a right triangle)
4)
(definition of a bisector)
5)
(reflexive property)
6)
(LL)
7)
(CPCTC)
So it would be 64÷2=32
since if it is bisected it is cut in half which would result in each of the two angles being 32 degrees