e. 72.
Let x be the measurement of the 3rd side.
x should be greater that the difference of 2 sides
x should be less than the sum of 2 sides
20 - 15 < x < 20 + 15
5 < x < 35
We can assume that x = 35 the maximum measurement of the 3rd side.
Perimeter = 20 + 15 + 35 = 70. Maximum perimeter.
Among the choices, 72 is beyond the maximum, so it is not a possible perimeter of the triangle.
Awnser is in the photo below
Answer:
see explanation
Step-by-step explanation:
Using the rules of exponents
× 
⇔ 
= 
⇔ 
Thus
= 
× 
= 
×
= 
× 
= 
← as required
Answer:
180
Step-by-step explanation:
Answer:
A, C and D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y - intercept )
here m = - 3, thus
y = - 3x + c ← is the partial equation
To find c substitute (- 1, 4) into the partial equation
4 = 3 + c ⇒ c = 4 - 3 = 1
y = - 3x + 1 ← in slope- intercept form → C
Add 3x to both sides
3x + y = 1 ← in standard form → A
-----------------------------------------------------------
The equation of a line in slope- intercept form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = - 3 and (a, b) = (- 1, 4), thus
y - 4 = - 3(x + 1) ← in point- slope form → D
