Answer:
m<B=74°
Step-by-step explanation:
3x-23+2x-12=180
5x-35=180
5x=180+35
5x=215
x=215÷5
x=43
m<B=2x-12=2(43)-12=86-12=74
<h3>
Answer: C) x = 80</h3>
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Work Shown:
Let's cross multiply to get the following
14/20 = 56/x
14*x = 20*56
14x = 1120
x = 1120/14
x = 80
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As a way to check the answer, we can type 14/20 - 56/80 into the calculator and we should get 0. I'm taking advantage of the rule that if A = B, then A-B = 0. This trick is handy to check if two sides of any equation are equal to one another.
Helen = 30 T (T = tickets)
Gina = 30 + 20 = 50 T
20% of 50 = 10
30 + 10 = 404
50 - 10 = 40
Gina must give 20% of her tickets for them to have equal amount of tickets.
Hope this helps!!
<h3>
Answer:</h3>
D. hypotenuse/opposite
<h3>
Step-by-step explanation:</h3>
The mnemonic SOH CAH TOA reminds you that ...
Sin = Opposite/Hypotenuse
You know that
csc = 1/sin
so
csc = 1/(opposite/hypotenuse) = hypotenuse/opposite . . . . matches D