In situations such as this one, why not look up the technical vocabulary, so that you can be sure of its meaning? I did that and found that my recollection of "inconsistent equations" was correct.
TRUE.
1.
When you have the length of two sides and the angle between them, the triangle is totally determined. This is, there is only one segment that can complete the triangle: its length and position is totally fixed.
B is less than or equal to -11
X= cost per cherry pie
y= cost per pumpkin pie
NICOLE
1x + 9y= $60
LISA
11x + 4y= $90
STEP 1
multiply Nicole's equation by -11
-11(1x + 9y)= -11($60)
multiply -11 by all terms
(-11 * x) + (-11 * 9y)= (-11 * 60)
-11x - 99y= -660
STEP 2
add Nicole's new equation from step 1 to Lisa's equation to solve for y (using the elimination method)
-11x - 99y= -660
11x + 4y= 90
the x terms "cancel out"
-95y= -570
divide both sides by -95
y= $6 per pumpkin pie
STEP 3
substitute y value into either original equation to solve for x
x + 9y= $60
x + 9(6)= 60
x + 54= 60
subtract 54 from both sides
x= $6 per cherry pie
CHECK
11x + 4y= $90
11(6) + 4(6)= 90
66 + 24= 90
90= 90
ANSWER: Each cherry pie costs $6 and each pumpkin pie costs $6.
Hope this helps! :)
Answer:
1) 40°
2) 140°
3) 140°
5)40°
6)140°
7)140°
8)40°
Step-by-step explanation:
1 = 40 ° <em> [Vertically Opposite angles are equal]</em>
8 = 40 ° <em>[Corresponding Angles are equal]</em>
5 = 8 = 40° <em> [Corresponding Angles are equal]</em>
7 = 180° - 40° = 140° <em>[Supplementary angles sum 180°]</em>
6 = 140° <em> [Vertically Opposite angles are equal]</em>
2 = 140° <em>[Corresponding Angles are equal]</em>
3 = 140 ° <em> [Vertically Opposite angles are equal]</em>
