When you add the two angles together, they should equal 90 degrees (according to the square marker). So, all you have to do is add the two angles together, make them equal to 90, and solve for x.
2x+8+5x-2=90
7x+6=90
7x=84
x=12
Now, we substitute x and solve for the angles.
2x+8
2(12)+8
32 degrees
5x-2
5(12)-2
58 degrees
To double check our answer, we can add the two angles together and see if we get 90.
32+58=90 yes
Our answer is correct
6 hours and 6 hours and 24 minutes
Answer is 13 yards of ribbon
Step by step
She started out with $25
She had a remainder of $22.14
Subtract
25 - 22.14 = $2.86 she spent on ribbon
Divide $2.86 by .22 per yard = 13 yards
Problem solved
Fractions are the part/whole. We can set this up to be...
3/5 = 756
756 x5/3 = 1260.
if she had 1260 to begin with and spent 756, she would have 504.00 left.
The highest power is 2.
Explanation:
Because x has a maximum power of 2, there will be 2 answers. if it were 3, there could be up to 3 answers, etc.
While solving this problem, you gather all terms on one side so the equation looks like
x
2
−
81
+
17
=
0
x
2
−
64
=
0
then factor
(
x
−
8
)
(
x
+
8
)
=
0
then, because any number times 0 equals 0, we know that one of the two parts in the parenthesis must be equal to 0, so
x
−
8
=
0
or
x
+
8
=
0
and so the two answers
x
=
8
,
−
8
come to be.
