Answer:
14
Step-by-step explanation:
All of the angles are marked as congruent, which means it is an equlateral triangle. This means that all of the sides are congruent too.
Therefore z + 2 = 2z -10
add 10 to each side
z + 12 = 2z
subtract z from each side
12=z
now that we know that, we can plug it back in to either line (it doesn't matter because they're congruent)
line AB is z+2 which is 12+2 or 14
and line CB is 2z-10 which is 2(12)-10 or 24-10 which is also 14
so line CA is also 14 units long.
You're given two angles and the side not between them are congruent, so the AAS theorem applies. (2nd selection)
The lines are neither parallel nor perpendicular
<h3>How to determine the relationship between the lines?</h3>
The equations of the lines are given as
3 x minus y equals 5
3 y equals x minus 15
Rewrite the equations properly
3x - y = 5
3y = x - 15
Make y the subject in both equations
In 3x - y = 5, we have
y = 3x + 5
In 3y = x - 15, we have
y = 1/3x - 5
The slopes of the two lines are
m1 = 3
m2 = 1/3
The above values are not equal, and they are not opposite reciprocal
This means that the lines are neither parallel nor perpendicular
Read more about linear equations at:
brainly.com/question/14323743
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Answer:
2 more cans
Step-by-step explanation:
2 1/3 x 3 = 7 cans (this the amount of cans of dog food she has)
3 x 3 = 9
the 3 represents how she wants to feed 3 cans of dog food each day for 3 days; the other 3 represents 3 days
9 - 7 = 2