Answer:
SU = 70
Step-by-step explanation:
First, we need to find the value of x. Since M is the midpoint of SU, that means that SM = MU, therefore:
x + 15 = 4x - 45
15 = 3x - 45
60 = 3x
x = 20
We know that SU = SM + MU = (x + 15) + (4x - 45) = 5x - 30 and that x = 20 so SU = 5x - 30 = 5 * 20 - 30 = 100 - 30 = 70.
1. (0,1) , (1,6) , (2,11)
2. (0,10) , (1,9) , (2,8)
3. (0,0) , (1,2) , (2,4)
hope this helps.
Answer:
The volume of the cube is;
Step-by-step explanation:
The parameters of the prism are;
The number of cubes used to fill the prism, n = 70 cubes
The side length of each cube, s = 1/2 unit
The volume of the cube, V = n × s³
∴ Therefore, the volume of the cube, V = 70 × (1/2)³ = = 8.75 cube unit
Answer:
{2, 4, 6}
Step-by-step explanation:
the domain is the interval or set of valid x (input) values.
the range is the interval or set of valid y (result) values.
all we need to do is use the given x values in the functional definition and collect the result values. that is the range.
x = -1
y = 2×-1 + 4 = 2
x = 0
y = 2×0 + 4 = 4
x = 1
y = 2×1 + 4 = 6
Answer:∠1 and ∠5
Step-by-step explanation:
(A) ∠3 and ∠6 forms the interior angles on the same side of the transversal. Thus, this option is incorrect.
(B) ∠1 and ∠4 forms the linear pair on the straight line a, thus this option is incorrect.
(C) ∠1 and ∠5 forms the corresponding angle pair, thus this option is correct.
(D) ∠6 and ∠7 forms the linear pair on the straight line a, thus this option is incorrect.
