Answer:
The final set of ordered pairs represents a function.
Step-by-step explanation:
Each X value corresponds to exactly one y- value. Essentially, none of the x values are the same in the final set.
The dimension of the rectangle prism is : 3 1/2 mm , 9 mm and 8 1/2 mm
Express the mixed fraction into decimal :
So, the dimensions are : 3.5mm , 9mm & 8.5mm
Volume of the prism = Length x Breadth x Height
Susbtitute the value and simplify :
Volume of the prism = ( 3.5 x 9 x 8.5 ) mm
Volume of the prism = 267.75 mm
Answer:
Hence x = 60 and y = 50
e = 85 degrees
f = 158 degrees
Step-by-step explanation:
1) The sum of the interiror angle of the triangle is equal to the exterior
Given
Interior angles = y and 70
Exterior angle = 120 degrees
According to the law;
y + 70 = 120
y = 120-70
y = 50°
Sum of angle in the triangle is 180
x + y + 70 = 180
x + 50 + 70 = 180
x + 120 = 180
x = 180-120
x = 60
Hence x = 60 and y = 50
2) The sum of angles on a straight line is 180 degrees
40 + 55 + e = 180
95 + e = 180
e = 180 - 95
x = 85 degrees
3) Sum of angle at a point is 360 degrees
Hence 130 + 36.8 + 35.2 + f= 360
130 + 72 + f = 360
202 + f = 360
f = 360 - 202
f = 158 degrees
