9514 1404 393
Answer:
y = 12
Step-by-step explanation:
Triangles ABD and CBD are congruent, so DA = DC:
3y +6 = 5y -18
24 = 2y . . . . . . . . add 18-3y; next, divide by 2
12 = y
_____
<em>Additional comment</em>
In some variations of this question, you may be asked to solve for x. Since the angles are equal, you have ...
3x -1 = 34 -2x ⇒ 5x = 35 ⇒ x = 7 . . . (consistent with ∠ABC = 40°)
Answer:
He will purchase 6000 gumballs
Answer:
the answer to this equation is 2
Answer:
Option D:
Step-by-step explanation:
GIven the following inequality statement:
Start by eliminating the fraction on the right-hand side.
Multiply both sides of the inequality statement by 2:
2(7x + 6) ≥ -x
Next, distribute 2 into the terms inside the parenthesis:
14x + 12 ≥ -x
Subtract 12 from both sides:
14x + 12 - 12 ≥ -x - 12
14x ≥ -x - 12
Add x to both sides:
14x + x ≥ -x + x - 12
15x ≥ - 12
Divide both sides by 15 to isolate x:
or
Therefore, the correct answer is <u>Option D</u>: