-4/3 x (-3/4)x > -4/3 x (-6)
x > 4 x 2
x > 8
It’s -1/3 because you subtract 1-5 and -3-9, you get -4/-12 then simplify to get -1/3.
Answer:
X= 67
Y= 121
Z= 80
Step-by-step explanation:
To find Y:
(y-9) and 112 are congruent so
y-9=112
y=121
To find Z: (consecutive)
180=121+z+3
180=124+z (combine like terms)
subtract 124 to cancel and move to other side of equation
z= 80
To find X: (consecutive)
180=112+x+1
180=113+x (combine like terms)
subtract 113 to cancel out and move to their side of equation
x = 67
Answer:
Line LM
Step-by-step explanation:
First, we need to know what the slope is of a line that would be perpendicular to a line with a slope of -5/6. To find this, we take the reciprocal and multiply it by -1. Therefore, the line we are looking for needs to have a slope of 6/5.
Based on the fact that the slope is positive, we can eliminate lines PQ and JK as they have a negative slope. This leaves us with lines LM and NO.
To find out whether or not it is between LM and NO, you could eyeball it by looking at the graph and simply counting which might be faster if you understand how to do that (rise/run), or you can use the pair of coordinates given to you on each line to calculate for slope.
Line LM -
Line NO -
Based on this, we know that line LM is perpendicular to a line that has a slope of -5/6.
<em>If you need help on calculating slope from two points, I'd suggest watching this video: </em><u>https://www.brightstorm.com/math/algebra/linear-equations-and-their-graphs/finding-the-slope-of-a-line-from-2-points-problem-1/#:~:text=Use%20the%20slope%20formula%20to,second%20points%20are%20x2%2C%20y2.</u>
If Anna gives 14 candies to her sister, she remains with 52. How many candies does Anna have ?
x-14=52|+14
x=52+14
x=66 candies