Answer:
d
Step-by-step explanation:
Let
A-----> 
B-----> 
C-----> 
we know that
Point A-------> Multiply numerator and denominator by 

Point B-------> Multiply numerator and denominator by 

Point C-------> Multiply numerator and denominator by 

Find the distance Point A to Point C

Find the distance Point B to Point C

therefore

Point B is closer to Point C
is closer to 
the answer is
is closer to 
Answer with step-by-step explanation:
The way the question is worded, this actually shouldn't be correct. The correct answer should be
.
Because the trapezoids are similar, we can find the ratio of their perimeters by actually just finding the ratio of their sides.
Why?
By definition, the corresponding sides of a polygon are in a constant proportion. The perimeter is simply the sum of all sides of the polygon. Since we're just adding the sides, the proportion will still be maintained.
Therefore, we'll just need to ratio of their corresponding sides. The only two corresponding sides that are marked are
and
.
The ratio of
is
.
The reason why it ideally should be
and not
is because the question states
, which mentions
first, so our answer should follow this respective order. I believe you were marked right anyways because the specific order is not specified, but generally, you want to give your answer respectively by default.
Answer:
x=8
y=16
Step-by-step explanation:
2x+2y=48
3x+y=40
Ther is many ways to solve this, one of them is clearance:
WE CLEAR AN UNLOCKED (X) AND REPLACE IT IN THE OTHER
x= (40-y)/3
2[(40-y)/3] +2y=48
(80-2y)/3 +2y=48
(80-2y+6y)/3=48
80+4y=48(3)
4y=144
y= 144/4
y=16
x=(40-y)/3
x=(40-16)/3
x=24/3
x=8
Answer:
n > -14
Step-by-step explanation:
Firstly, you use the distributive property;
-12 - 6n > 72
Then, since 12 is negative, you add 12 to both sides;
-12 - 6n > 72
+12 +12
-6n > 84
Then you divide both sides by -6 to get n > -14.
Shoot, hold on; this is an edit; did you mean that 72 is greater than -6(2 + n) or did you accidentally flip the sign in the picture? Hopefully I did what you needed.