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.
Hello,
No a triangle with these angles are not unique. This is because every triangle is supposed to have 180 degrees, just like this one.
Have a great day!
Answer:
B
Step-by-step explanation:
The arc XZ is twice the measure of the inscribed angle XYZ , that is
arc XZ = 2 × 60° = 120°
The complete circumference = 360° , thus
arc XYZ = 360° - arc XZ = 360° - 120° = 240° → B
Answer:
e^2 -7 = x
Step-by-step explanation:
2=ln(x+7)
Raise each side to the base of e
e^2 = e^ln (x+7)
The e^ln cancel
e^2 = x+7
Subtract 7 from each side
e^2 -7 = x +7-7
e^2 -7 = x
Answer:
k = 5
Step-by-step explanation:
Since the equation is y = kx and x equals 3 while y equals 15, in order to solve this equation we are going to have to substitute the variables with their answers:
x = 3
y = 15
15 = 3k
Now we divide 3 from both 3x and 15 to segregate the variable x:
15/3 = 3k/3
5 = k
Now to check our work we are going to substitute 5 for the variable k, 3 for the variable x and 15 for the variable y.
y = kx
15= (5)(3)
15 = 15
Tada, I hope this helps you!
