9514 1404 393
Answer:
Step-by-step explanation:
Substituting the given variables into the word problem, we have two equations:
3x +3y = -15
6x -3y = -21
Adding these equations eliminates y:
9x = -36
x = -4 . . . . divide by 9
Using this in the first equation, we have ...
3(-4) +3y = -15
-4 +y = -5 . . . . . divide by 3
y = -1 . . . . . . . . . add 4
The smaller number is -4; the larger is -1.
Only the second set of measures qualifies as angle measures of a triangle. Angles 25°, 130°, 25°
Step-by-step explanation:
- Step 1: To find whether angles qualify as angle measures of a triangles, calculate their total sum and verify whether they add up to 180°
Set 1 - 41° + 112° + 52° = 205°
Set 2 - 25° + 130° + 25° = 180°
Set 3 - 30° + 40° + 90° = 160°
Set 4 - 132° + 141° + 31° = 304°
Therefore, only set 2 qualifies.
Answer:
6.66%
Step-by-step explanation:
((1 + r/m)^n) - 1
Interest rate , r = 6.5%
m = number of compounding times per period = 4 (quarterly interest)
((1 + 0.065/4)^4) - 1
((1 + 0.01625) ^4) - 1
((1.01625)^4) - 1
1.06660 - 1
= 0.0666
0.0666 * 100%
= 6.66%
Answer:-3x+12
Step-by-step explanation:
