Answer:
Part a) The measure of the sides of triangle DEF are



Part b) Is a scalene triangle
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to

we have the coordinates
D(8,-6) E(-1,-3) F(-2,5)
step 1
Find the length side DE
D(8,-6) E(-1,-3)
substitute in the formula



step 2
Find the length side EF
E(-1,-3) F(-2,5)
substitute in the formula



step 3
Find the length side DF
D(8,-6) F(-2,5)
substitute in the formula



step 4
Classify the triangle by the measure of its sides
we have



so
Is a scalene triangle, because is a triangle in which all three sides have different lengths.
Answer:
x=1/6 or x=0.1666666667
Step-by-step explanation:
The size of the triangle is 55 degrees.
There are one-hundred $1 in $100.
Answer:
He can purchase a maximum of 6 large candles.
Step-by-step explanation:
If he purchases 6 large candles and 14 small candles:
$5.00 x 6 = $30.00
$3.50 x 14 = $49.00
$49.00 + $30.00 = $79.00