Answer:
47
Step-by-step explanation:
^
Answer:
B
Step-by-step explanation:
Hi there!
We're given the measure of <AOC (the big angle) as 90°
and the measure of <BOC as 14° and the measure of <AOB as (3x+46)°
we want to find the value of what x is
because of angle addition postulate, m<AOC=m<BOC+m<AOB
so we can substitute our known values into that equation
90°=14°+3x°+46°
our goal is to isolate the variable of x onto one side
add 14 and 46 together
90°=3x°+60°
subtract 60° from both sides
30°=3x°
divide both sides by 3
10°=x
therefore B is your answer
Hope this helps!
If you would like to solve the system of equations, you can do this using the following steps:
4x^2 + 9y^2 = 72
2x - y = 4 ... 2x - 4 = y
_________
<span>4x^2 + 9y^2 = 72
</span><span>4x^2 + 9 * (2x - 4)^2 = 72
</span>4x^2 + 9 * (4x^2 - 16x + 16) = 72
4x^2 + 36x^2 - 144x + 144 = 72
40x^2 - 144x + 144 - 72 = 0
40x^2 - 144x + 72 = 0
10x^2 - 36x + 18 = 0
5x^2 - 18x + 9 = 0
(5x - 3) * (x - 3) = 0
1. 5x - 3 = 0 ... 5x = 3 ... x = 3/5
2. x = 3
<span>1. y = 2x - 4 = 2 * 3/5 - 4 = 6/5 - 20/5 = -14/5
2. y = 2x - 4 = 2 * 3 - 4 = 6 - 4 = 2
1. (x, y) = (3/5, -14/5)
2. (x, y) = (3, 2)
The correct result would be </span>(3/5, -14/5) and <span>(3, 2).</span>
30 %
3/10 * 10 = 30/100
30/100= 30%
