Answer:
3x-120 = x - 30
2x -120 = -30
2x= 90
x= 45
3(45) -120 (plug x into angle p to check your answer)
135-120
15 degrees
45-30 (plug x into angle r to make sure it's the same thing as angle p)
15 degrees (they're equal so now figure out angle Q and answer the question)
180 - (15 +15)
180- 30
150 is the measure of angle Q
so, the triangle is an obtuse isosceles triangle
Step-by-step explanation:
Answer:
you need to find 8 gold bars
Step-by-step explanation:
Answer:Mark Is 9 years old; Christine is 5 years old
Step-by-step explanation:
Present age
LET mark age be x
Christine be x-4 yrs
In 3 yrs Time
Mark will be x+3 yrs old
Christine will be (x -4 +3) = x-1 years old
Also, In 3 years time
Christine = 2/3 Mark
such that
x-1 = 2/3(x+3)
x -1= 2x+6 / 3
3x -3= 2x+6
3X--2X = 6+3
=X=9
Mark Is 9 years old
Christine is x -4 = 9-4=5 years old
Answer:
volume = 150.9m³
Step-by-step explanation:
in order to find the volume ,in cubic meter ,of a cylinder with a height of 3 meters and a base radius of 4 meters ,to the nearest theths place wee apply the formular for finding the volume of a cylinder which is πr²h
v = πr²h
given that
height = 3meters
radius = 4meters
volume=?
going by the formulae v= πr²h
v = π × (4)² × 3
v = π × 16 ×3
v= 48πm³
note the value of π = 22/7
v = 48 × 22/7
v = 1056/7
v= 150.87m³
therefore the volume of the cylinder to the nearest tenth place is 150.9m³
