Answer: b
<u>Step-by-step explanation:</u>
NOTE:
- Hypothesis: "if" part of the sentence
- Conclusion: "then" part of the sentence
hypothesis : If <u>two lines intersect at right angles</u>
conclusion: then <u>the two lines are perpendicular</u>
When multiplying fractions, just multiply straight across
10 x 11 = 110
3 x 12 = 36
110/36 is your answer
3 1/18 is simplified mixed fraction
hope this helps
Answer:
y= 2,75
Step-by-step explanation:
6 = 3 + 5 (y-2)
6=8(y-2)
6/8=y-2
¾=y-2
0,75+2=y
y= 2,75
12,0
0,10
Step-by-step explanation:
Answer:
28. 120 degrees
29. 30 degrees
30. 56 degrees & 124 degrees
31. 72 degrees, 108 degrees, and 18 degrees
Step-by-step explanation:
We assign variable x for the answer we are looking for (28-29).
28.
Supplement means x + y = 180 degrees. We also know x = 2y. Substitution gives us 3y = 180 degrees, so y = 60 degrees and x = 120 degrees.
29.
Complement means x + y = 90 degrees. We are given 2x = y. Substitution brings us 3x = 90 degrees, x = 30 degrees.
30.
Supplement means x + y = 180 degrees. We are told that y = 2x + 12, so we substitute. This gives 3x + 12 = 180 degrees, x = 56 degrees. Substituting that back into the equation for y, we get 124 degrees.
31.
Supplement means x + y = 180 degrees. Complement means x + z = 90 degrees. Using our given info, we know y = 6z. We can substitute that in to get x + 6z = 180. Subtracting our second and third equations, we get 5z = 90, z = 18 degrees. Therefore, x = 72 degrees, y = 108 degrees.
