Answer:
C
Step-by-step explanation:
m = -3
y = mx +b
y = -3x + b
Plugin x = -1 and y = 4
4 = -3*(-1) +b
4 = 3 + b
4-3 = b
b = 1
y = -3x + 1
This triangle has base 16 therefore the sides must be 17cm and 17 cm
When we make a altitude it divides it into two right triangles and there is a property in which the altitude of the isoceles triangle divides the base in 2 equal halves
So the side of the right triangle will be x , 8 , 17
Using pythgoreus theorem
x²+8²=17²
x = √225
x = 15
So the altitude is 15 cm
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The perimeter of the pentagon with apothem of 5cm is 28.87cm
<h3>How to calculate the perimeter of a pentagon</h3>
The sum of all the external sides of the pentagon is its perimeter.
First we need to calculate the half of one of its sides using the SOH CAH TOA
tan 30 = x/5
x = 5 tan 30
x = 2.89
One of the sides = 2(2.89) = 5.77 cm
Perimeter of th pentagon = 5(5.77) = 28.87
Hence the perimeter of the pentagon with apothem of 5cm is 28.87cm
Learn more on perimeter of pentagon here: brainly.com/question/11484726