Answer:
B
Step-by-step explanation:
∠ ABC = 9x + 5 ( alternate angles )
∠ ABC and ∠ DCB are sam- side interior angles and sum to 180° , that is
9x + 5 + 16x = 180
25x + 5 = 180 ( subtract 5 from both sides )
25x = 175 ( divide both sides by 25 )
x = 7
Then
∠ ABC = 9x + 5 = 9(7) + 5 = 63 + 5 = 68° → B
The first expression 3^2 · 5 · 7 and the fourth expression 3^3 · 11 show a number as a product of prime numbers in exponential form.
3^2 · 5 · 7 shows 315 as a product of prime numbers 3, 5 and 7, that is 3 · 3 · 5 · 7
In 4^2 · 5 · 7, the number 4 is composite which can still be written as product 2 · 2
For the third one 3^3 · 8, the number 8 is composite which can still be written as product 2 · 2 · 2
The fourth expression 3^3 · 11 shows 99 as a product of prime numbers 3 and 11 which is 3 · 3 · 11
Least is 8 greatest is 56
Let the smaller number be x.
Larger number = 12 + x
Sum = 84
x + 12 + x = 84
2x + 12 = 84
2x = 72
x = 36
Hence, the numbers are 36 and 48.
Answer:
To find vertices that has been rotated 270 degrees, you would want to apply this rule to the point ; (x,y) (x, -y). This rule is the same as negative 90 rotation.
So, we have the coordinates (-4,0) , (5,2) , (-2,-3).
We can apply the rule to all three coordinates turning the y values negative.
We end up with
G = (-4, 0)
H = (5, -2)
I = (-2, 3)
