Step 1
Let n represent car and m represent motorcycles.
n + m = 50 ...................1
car has four wheels and motorcycle has two wheels
4n + 2m = 164 .............................. 2
Step 2
Solve equation 1 and 2 simultaneously.
from (1), make n subject of relation and substitute in equation 2.
n = 50 - m
Step 3
Substitute n in equation 2
4(50 - m) + 2m = 164
200 - 4m + 2m = 164
collect like terms
200 - 164 = 4m - 2m
36 = 2m
m = 36/2
m = 18
next find n
n = 50 - m
n = 50 - 18
n = 32
There are 32 cars and 18 motorcycles.
Answer:
40 inches
Step-by-step explanation:
Volume, V of hemisphere = 2/3 π r^3
Radius, r = 24 inches ;
V = 2/3 π 24^3
V = 28952.917 in³
Volume of cylinder = π r^2 * h
h = height ; r = Radius = 32 /2 = 16 inches
Volume of hemisphere = volume of cylindrical tank
28952.917 = π (16)^2 * h
28952.917 = 804.24771h
h = 28952.917 / 804.24771
h = 35.9999
h = 40 inches
Molten stell rise is 40 inches
Option C:
x = 30
Solution:
The given image is a triangle.
angle 1, angle 2 and angle 3 are interior angles of a triangle.
angle 4 is the exterior angle of a triangle.
m∠4 = 2x°, 
, m∠3 = 20°
Exterior angle theorem:
<em>In triangle, the measure of exterior angle is equal to the sum of the opposite interior angles.</em>
By this theorem,
m∠4 = m∠2 + m∠3
Subtract 
on both sides of the equation.
To make the denominator same and then subtract.
Multiply by 
on both sides of the equation.
x° = 30°
x = 30
Hence option C is the correct answer.
Answer:
1: Rhombus
2: Square
3: Rectangle
4: Trapezoid (isosceles trapezoid to be exact)
