If ray EB bisects angle AEC, then m∠AEB=m∠BEC=4x+1.
Angles AEB, BEC and CED together form right angle AED, then
m∠AEB+m∠BEC+m∠CED=90°.
Therefore,
(4x+1)+(4x+1)+3x=90,
11x=90-2,
11x=88,
x=88:11,
x=8°.
Then m∠BEC=4x+1=4·8+1=33°.
Answer: x=8°, m∠BEC=33°.
Answer is C. Common stock receives an equal part of the profits on each share to be distributed after all other obligations of a company have been satisfied.
Hope this helps!
Answer:
18 and 19
Step-by-step explanation:
Consecutive positive integers have a difference of 1 between them
let n and n + 1 be the 2 integers, then
n(n + 1) = 342, that is
n² + n = 342 ( subtract 342 from both sides )
n² + n - 342 = 0 ← quadratic equation in standard form
(n + 19)(n - 18) = 0 ← in factored form
Equate each factor to zero and solve for n
n + 19 = 0 ⇒ n = - 19
n - 18 = 0 ⇒ n = 18
However, n > 0 ⇒ n = 18 and n + 1 = 18 + 1 = 19
The 2 integers are 18 and 19
Hey there! The answer is 7x + 4y < 40
Let's first rearrange our data in a more structured way.
x represents a box of wings which has a cost of $7.00. Therefore the total cost of the boxes is 7x.
y represents a tray of nachos which has a cost of $4.00. Therefore the total cost of the trays is 4y.
The sum of the costs of trays and boxes, which is (7x + 4y) must be smaller than $40.
Now we can set up the inequality.
~ Hope this helps you!