Answer:
1. KLP + PLM = 180 degrees (straight line)
2. 3x + angle PLM = 180 degrees
3. angle PLM = 180 - 3x
4. PMN = P + PLM (Exterior angle)
5. 2x + 72 = x + 180 - 3x
6. x = 27
Step-by-step explanation:
1. Notice that angle KLP + angle PLM is a straight line, so KLP + PLM = 180 degrees (straight line)
2. angle KLP = 3x, so
3x + angle PLM = 180 degrees
3. angle PLM = 180 - 3x
4. PMN = P + PLM (Exterior angle)
5. 2x + 72 = x + 180 - 3x
6. 5 gives 4x = 108, so x = 27
Answer:
angle N is 79, angle K is 22, angle P is 81, angle D is 76
Step-by-step explanation:
all of the angles should add up to 180 degrees so add the two angles you have and subtract them from 180
Answer:
the equation would be f(x)= -9x+3 or y=-9x+3
Step-by-step explanation:
Answer:
The interest rate per year is 0.1
Step-by-step explanation:
The equation is A = P(1+rt)
Substitute the numbers
3500 = 2500 (1+4r)
solve for r:
Answer:
Volume = 144 m³
Step-by-step explanation:
Volume of triangular prism = ½*b*h*l
Where,
Base of triangular base (b) = 4 m
Height of triangular base (h) = 12 m
Length of prism (l) = 6 m
Volume = ½*4*12*6
Volume = 2*12*6 = 144 m³
