Answer:
The lowest fraction it can be simplified to is 1/8.
Thing I no this one I just forgot
Y2-y1 over x2-x1 (slope intercept form)
Answer:
x = 77
y = 72
z = 31
Step-by-step explanation:
The formula for the Perimeter of triangle XYZ = x + y + z
From the question:
x + y + z = 180
In the triangle, x is 5 greater than y,
x = y + 5
y is 21 less than three times z
y = 3z - 21
3z = y + 21
z = y + 21/3
Hence:using substitution
x + y + z = 180
y + 5 + y + y/3 + 21/3 = 180
2y + y/3 + 5 + 21/3 = 180
2y + y/3 = 180 - ( 5 + 21/3)
2y + y/3 = 180 - (5 + 7)
2y + y/3 = 180 - 12
2y + y/3 = 168
Multiply both sides by 3
2y × 3 + y/3 × 3 = 168 × 3
6y + y = 504
7y = 504
y = 504/7
y = 72
Solving for x
x = y + 5
x = 72 + 5
x = 77
Solving for z
z = (y + 21)/3
z = (72 + 21)/3
z = 93/3
z = 31
Therefore,
x = 77
y = 72
z = 31
Answer:
310 in²
Step-by-step explanation:
The general formula for the surface area of a prism is:
SA = 2ab + 2ac + 2bc, where 'a', 'b' and 'c' are the measures of the sides. In this case the lengths are 4 in, 5 in and 15 in.
a = 4 in
b = 5 in
c = 15 in
SA = 2(4*5) + 2(4*15) + 2(5*15)
SA = 40 + 120 + 150 = 310 in²
