I believe the answer is 7
m∠AOC = m∠AOB + m∠BOC
We have m∠AOC = 19°, m∠AOB = 4x - 15 and m∠BOC = 2x + 10. Substitute:
19 = (4x - 15) + (2x + 10)
19 = (4x + 2x) + (-15 + 10)
19 = 6x - 5 <em>add 5 to both sides</em>
24 = 6x <em>divide both sides by 6</em>
4 = x
m∠BOC = 2x + 10 → m∠BOC = 2(4) + 10 = 8 + 10 = 18
m∠AOB = 4x - 15 → m∠AOB = 4(4) - 15 = 16 - 15 = 1
<h3>Answer: c. m∠BOC = 18°, m∠AOB = 1°</h3>
<span>Using the properties of equality to solve the equation -2 b + 7 = -13 you would ___
Answer: Subtract 7 and then divide by -2
Which of the following algebraic expressions could represent the sentence "the product of a number and 5 is 11."
</span><span>
Answer: 5 x = 11
Which property of equality could you use to solve -3 x = 348
Answer: Division property
</span>
5x^3+40x^2-100x
5x(x^2+8x-20)
=5x(x+10)(x-2)
I'm guessing that there's more information missing from
this question than is given ... quite an accomplishment.
It's as if I were to ask you: "I live in Chicago, work as an
engineer, and my car is blue. How old am I ? Explain how
you found your answer."
We need to know something about how much a discount
ticket costs, and/or how much a regular-price ticket costs,
and/or how much the theater took in at the box office last
Saturday.
Working with all the information given in the question, the
least possible number of showings after 4:00 PM could have
been zero, if the operators shut the doors at 4:00 PM and
went home.
___________________________________
After reading the question again, more carefully this time,
I'll also need to know how many theaters there are in that
movieplex, and if Saturday's box-office take refers to the
whole movieplex, or to only one theater.