Answer:
Infinite
Step-by-step explanation:
6x+3=6x+3
6x=6x
x=x
Infinite
12 -2x < 16
First, subtract 12 from both sides.
-2x < 16 - 12
-2x < 4
Divide both sides by -2
x > -2 (you switch the < sign with > when divided by a negative).
Because it is not greater than/less than or equal to, it is an open circle at -2. Any number that is greater than -2 means it's shaded to the right, the answer's B.
Answer:
18x
Step-by-step explanation:
Order of operations rules require that any work appearing insidee parentheses must be done first. Therefore:
3x(2+4)(4-3) = 3x(6))1) = 18x
This triangle is an isosceles triangle (as indicated by the tick marks through the two sides). The base angles of isosceles triangles are congruent; this means the measure of angle x is congruent to the measure of the unlabeled interior angle.
The sum of the interior angles of all triangles is 180 degrees; you can find x by setting the sum of the two unknown angles, x, and 98 equal to 180 and solving algebraically.
180 = 98 + x + x
180 = 98 + 2x
82 = 2x
41 = x
Answer:
x = 41
Let c = number of childrenLet t = number of teenagersLet a = number of adults t = 3/4 c 1) c + 3/4 c + a = 5702) 2c + 3 (3/4c) + 5a = 1950 1) 7/4c + a = 5702) 2c + 9/4c + 5a = 1950 1) 7/4c + a = 5702) 17/4c + 5a = 1950 Multiply equation 1 by -51) -35/4c - 5a = -28502) 17/4c + 5a = 1950 Add the equations-18/4c = -900 c = -900 * -4/18 = 200 t = 3/4 c = 150 teenagers