You need open parentheses ,do not change signs, because it is +, and add like terms
5x²-2x+6x-4=5x²+4x-4
correct answer is B
H = 72°
k = 18°
m = 54
The measure of angle C is 108°. Angle C is a vertical angle along angle m and its adjacent angle. Furthermore, angle m and its adjacent angle to the right are congruent.
So, the equation used to find angle m is 2x = 108.
n = 62°
I think that r = 108° because it should be congruent to f because they look like alternate exterior angles.
Then, angles r and p form a linear pair so they are equal to 180°.
Knowing that r = 108°, p must be 72°.
Angle q, its consecutive adjacent angle to the left to which it's congruent to, and angle p all form a linear pair. So, 72 + 2q = 180. By simplifying this, we'll have q = 54°.
In order to find angle l, we need to understand that a triangle's total sum of interior angles is 180°.
18 + 72 + x = 180
90 + x = 180
x = 90
So, the measure of angle L is 90°.
Answer:
{1, 2, 3}, {3, 4, 5}
Step-by-step explanation:
Write expressions for three consecutive integers: n, n + 1, n + 2.
Set up an equation for the verbal description: the product (mulitplication) of the two larger integers (the last two) is one less than 7 times the smallest (the first one).
(n + 1)(n + 2) = 7n - 1
Multiply (FOIL) the left side.
n^2 + 3n + 2 = 7n - 1
Subtract 7n and subtract 1 to make the right side 0.
n^2 - 4n + 3 = 0
Factor.
(n - 1)(n - 3) = 0
Set the two factors equal to 0
n - 1 = 0, n - 3 = 0
Solve for n.
n = 1, n = 3
One set of integers begins with 1, so it's {1, 2, 3}.
The other set begins with 3, so it's {3, 4, 5}
