Answer:
60 = n
Step-by-step explanation:
This problem can be rewritten as:
18 is 30% of what?
% means "out of 100" and of means "multiply"
18 = 30/100 ⋅ n
100/30 ⋅ 18 = 100/30 ⋅30/100 ⋅ n
1800/30 = 100/30 ⋅ 30/100 ⋅ n (both the 30/100 and 100/30 are crossed out here)
60 = n
Ryan must do a total of 60 problems
Having done 18 problems already he has 42 remaining.
Answer:
15. x = 10 3/11
16. ∠Q = 75°
Step-by-step explanation:
<h3>15.</h3>
The two base angles of the isosceles triangle are congruent, so both are 180°-8x. The sum of those, together with the apex angle, will be 180°.
... 2(180 -8x) + (5x -67) = 180
... 360 -16x +5x -67 = 180 . . . . . eliminate parentheses
... -11x = -113 . . . . . subtract 293
... x = 113/11 = 10 3/11
_____
<em>Note on the solution</em>
This value of x makes the interior base angles of the triangle be 97 9/11°. The apex angle is then -15 7/11°. The solution is correct—all the angles add up properly—but the geometry cannot exist.
_____ _____
<h3>16.</h3>
The approach is the same. The sum of the two congruent base angles and the apex angle is 180°.
... 2(2x+15) + x = 180
... 5x + 30 = 180
... x = (180 -30)/5 = 30
... (2x +15)° = (2·30 +15)° = 75° = angle Q
This will be the graph of your equation. hope it helps
