Answer:
p =2 p=-18
Step-by-step explanation:
|p+8|
-------------- = 5
2
Multiply each side by 2
|p+8|
-------------*2 = 5*2
2
|p+8| =10
There is a positive and a negative solution
p+8=10 p+8=-10
Subtract 8 from each side
p+8-8=10-8 p+8-8=-10-8
p =2 p=-18
1 and 8 are because they are alternate exterior angles
Answer:
Andre's height: y < x < 164
Step-by-step explanation:
We will first of all convert each of the statements to mathematical inequalities, before we combine them.
Let Andre's height be = x
Lin's height be = y
The maths teacher's height = 164
Andre is a little taller than Lin:
x > y
Andre is shorter than their maths teacher, who is 164 centimetres
x<164
Combining the two inequalities, we have Andre's height as
y < x < 164
This means that Lin is shorter than Andre who is in turn shorter than the Maths Teacher.
Answer:
part a: 5
part b: no, ABC is not an equilateral triangle
Step-by-step explanation:
part a: if you do the distance formula for points A and B, you get 5
part b: using the distance formula again, points A to B and points A to C are both 5, but points B to C is 6, therefore it's not equilateral because all the sides have to be the same length
