Answer:
6.3
Step-by-step explanation:
15/100=x/42
Cross Multiply and divide
15*42=630
630/100=6.3
Answer:
5
Step-by-step explanation:
As seen in the figure, we know that because ΔABC is isosceles, ∠B = ∠C, so we know that 75 = 3x, x = 15. Next, following the rule that all angles in a triangle sum to 180°, we can set up this equation and solve it:
4y + 10 + 75 + 75 = 180
4y = 180 - 160
y = 20
∴ y = 5
Answer:
we conclude that:
Step-by-step explanation:
Given
u = {1,2,3,4,5,6,7,8,9, 10}
X= {1,2,4,6,7,8,9}
Y= {1,2,3,4,7,9)
Z= {2,3,4,7,9)
To determine
X∩Y∩Z = ?
We know that the intersection of three given sets represents the largest set which consists of all the elements that are common to all the sets.
The intersection of sets is denoted by the symbol '∩'.
Thus,
X= {1,2,4,6,7,8,9}
Y= {1,2,3,4,7,9)
Z= {2,3,4,7,9)
X∩Y∩Z = {2, 4, 7, 9}
Therefore, we conclude that:
Answer:
If ƒ(x ) = 3x + 1, then ƒ(a + h ) - ƒ(a ) = 3h
Step-by-step explanation:
Given ƒ(x ) = 3x + 1, then to calculate ƒ(a + h ) - ƒ(a ), you need to replace "x" for (a + h) and a, respectively.
So...
f(a +h) = 3(a + h) + 1
and
f(a) = 3a + 1
Then
ƒ(a + h ) - ƒ(a ) = 3 (a + h) + 1 - [3a +1] = 3a + 3h + 1 - 3a - 1 = 3h.
So, ƒ(a + h ) - ƒ(a ) = 3h
Answer:
x -7
Step-by-step explanation:
(3x + 5) + (2x - 9) - (4x+3)
3x + 5 + 2x - 9 -4x -3
x -7