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Answer:
m = -1
Step-by-step explanation:
12 times the number is 12m
17 less than that is 12m -17.
23 less than 6 times the number is 6m-23.
These expressions are said to be the same:
12m -17 = 6m -23
6m -17 = -23 . . . . . . . . subtract 6m from both sides
6m = -6 . . . . . . . . . . add 17 to both sides
m = -1 . . . . . . . . . divide both sides by 6
The value of m is -1.
9514 1404 393
Answer:
28°
Step-by-step explanation:
The sum of angles in a triangle is 180°, so we have ...
(4x) +(x +18) +112 = 180
5x = 50 . . . . . . . subtract 130
x = 10
Then the two acute angles are ...
(4x)° = (4·10)° = 40°
(x+18)° = (10+18)° = 28°
The measure of the smallest angle is 28°.