Answer:
1) x= -2
2) x= 3
3) x=7
4) x>5
5) x=-14
Step-by-step explanation:
1) −3x − 3 −7x = 17
−10x−3=17
−10x=17+3
−10x=20
x= -20/10
x=-2
2) 10x − 6 = 24
10x=24+6
10x=30
x= 30/10
x= 3
3) −4−5x=−39
−5x=−39+4
−5x=−35
x=-35/-5
x= 7
4) 3x - 5 > 10
3x>10+5
3x>15
x>15/3
x>5
5) -5 + x + 16 = -3
x+11=−3
x=−3−11
x=-14
Her error was 85-80=5
So her percent error was 5/85=0,059 which is 5,9%
Is it clear to you?
Answer
Option (A) is correct .
Reason
The formula for the slope.
As given
Line AB contains (0, 4) and (1, 6) .
put in the slope formula
Slope of the AB is 2.
As given
Line CD contains points (2, 10) and (−1, 4).
put in the slope formula
Slope = 2
Slope of the CD is 2.
As the slope of the AB contains (0, 4) and (1, 6) Line CD contains points (2, 10) and (−1, 4) is 2 .
Therefore the option (A) is correct i.e the lines are parallel because the slopes are the same.
Answer:
3. m∠1 = 106° ~ this is because ∠1 and ∠2 together make a straight line and are therefore supplementary, meaning added together, they equal 180° (so I did 180° - 74° = 106°)
4. m∠3 = 74° ~ again, it is supplementary to ∠1. It is also equal to ∠2
5. m∠8 = 114° ~ angles opposite of each other (like 1 and 4) are equal (as we know from question 4). From there, we can use the corresponding angle theorem, so we know 4 and 8 are congruent. (also you can just know 1 and 8 are congruent by using the opposite exterior angles theorem)
6. m∠6 = 124° ~ using same-side interior angle theorem, they are supplementary angles (or the corresponding angles theorem mentioned above, make 4 congruent to 8, and 8 is supplementary to 6)
7. m∠7 = 96° ~ using same side exterior angle theorem, these angles are supplementary
8. m∠2 = 64° ~ again, same side exterior angle theorem
Answer:
2
Step-by-step explanation:
6x=4+8
6x=12x= 12/6
x=2
