It has not been indicated whether the figure in the questions is a triangle or a quadrilateral. Irrespective of the shape, this can be solved. The two possible shapes and angles have been indicated in the attached image.
Now, from the information given we can infer that there is a line BD that cuts angle ABC in two parts: angle ABD and angle DBC
⇒ Angle ABC = Angle ABD + Angle DBC
Also, we know that angle ABC is 1 degree less than 3 times the angle ABD, and that angle DBC is 47 degree
Let angle ABD be x
⇒ Angle ABC = 3x-1
Also, Angle ABC = Angle ABD + Angle DBC
Substituting the values in the above equations
⇒ 3x-1 = x+47
⇒ 2x = 48
⇒ x = 24
So angle ABD = 24 degree, and angle ABC = 3(24)-1 = 71-1 = 71 degree
No, they are not equivalent.
5(2x - y) = 10x - 5y and it is not equal to 15x - 5y.
(using distribution property)
Remember, parenthaees are like < and > and brackets ar like ≤ and ≥
domain is how far the x values go
x is left to right
we see they go from -3 to 5, with a filled in dot at -3 and empty dot at 5
means include -3 but not including 5
so like -3≤x<5
or in interval notation
[-3,5) is the domain
range
highest to lowest y value
range is from y=3 to y=-1
we gots full dots so we use brackets
range is [-1,3]
Domain=[-3,5)
Range=[-1,3]
B. read above and understand it
Answer:
The formula for the volume of a prism is V = Bh
where,
B is the base area
h is the height.
Since, the base of the prism is a rectangle, therefore, volume of a rectangular prism = (L * B) * h
Assumptions:
Length, L and Width, B cannot be the same.
1.
h = 4 ft
B = 2 ft
L = 9 ft
2.
h = 4 ft
B = 3 ft
L = 6 ft
3.
h = 6 ft
B = 2 ft
L = 6 ft
4.
h = 2 ft
B = 2 ft
L = 18 ft
Step-by-step explanation:
