Answer:
Step-by-step explanation:
1. p║ q
50+130 = 180
If the same side interior angles are supplementary angles then the lines are parallel.
2. p║ q
70 = 70
If the corresponding angles are congruent the lines are parallels.
4. p║ q
x = x
If alternating exterior angles are congruent then the lines are parallel.
5. we do not know if p is parallel with q
We have given that 2 vertical angles are congruent yet that is not enough to tell us about the relation between the 2 lines.
7. For the lines p and q to be parallel we need the corresponding angles 3x and 45 to be congruent so therefore equal in measure.
3x= 45 , divide both sides by 3
x= 15
For x = 15 the p║ q
8. For the lines p and q to be parallel we need the corresponding angles 120 and (2x+10) to be congruent so therefore equal in measure.
2x+10 = 120, subtract 10 from both sides
2x = 110, divide both sides by 2
x = 55
For x = 55 the p║ q
Answer:
valid based on the given information. If not, write invalid. ... So, the statement is invalid. Determine .....disprove a conjecture reached using inductive or deductive .
Answer:y=5
Step-by-step explanation:
5(y+1)=30
Divide both sides by 5
5(y+1)/5=30/5
We get y+1=6
Subtract 1 from both sides
y+1-1=6-1
We get y=5
Answer:
72 spaces total
Step-by-step explanation:
The ration is 3:5. The 3 is the empty spaces which is 27. In order to simplify 27 to 3, you have to multiply it by 9. Knowing you have to simplify both sides by the same number you then multiple the 5 by 9 getting 45. The total amount of taken spaces is 45. Add the amount of empty spaces and taken spaces together you get 72 spaces total.
Answer:
-2
Step-by-step explanation:
