1. For y, I think that refers to the first picture attached. As you can see, each side of the triangle have the same short line drawn across it. It means that they are equal in length. That means the triangle is equilateral, which means each interior angle is 60°. Thus,
60 = 5y + 10
5y = 60 - 10
5y = 50
y = 50/5 =<em> 10</em>
2. As you can see in the second picture attached, Angles B and C are equal. That also means that their respective opposite sides are equal. So,
8x - 4 = 5x + 11
8x - 5x = 11 + 4
3x = 15
x = 15/3 = 5
Consequently,
BC = 4x - 2
BC = 4(5) - 2 = <em>18</em>
We are told that every 9th person gets free popcorn and every 6th person gets free apple juice at the movie theater. We want to show if the 36th person is the first to get both free popcorn and apple juice.
Since every 9th gets free popcorn, then the 9th and 18th and 27th and 36th people get it. We can use numbers and show this as multiples of 9.
9, 18, 27, 36, 45, 54, ...
And we repeat it for every 6th and the free juice.
6, 12, 18, 24, 30, 36,....
Shani thinks 36 comes first, and she's wrong. 18 appears on the list before 36 as something that's common. What are we finding is the lowest common muliple of 6 and 9.
6 = 2 x 3
9 = 3 x 3
The lowest common multiple will have a 2, a 3, and a second 3 (because we don't double count). 2 x 3 x 3 = 18. This matches up to the list of multiples.
Thus, Shani is wrong that the 36th person gets both free items, as she did not account for the 18th person gettting both free items
Answer:
y = 3/8 - 8
Step-by-step explanation:
A line written in slope-intercept form is [ y = mx + b ] where m = slope and b = y-intercept
We are given the slope of 3/8
We are also given the point (0, -8) which is also the y-intercept.
y = 3/8 - 8
Best of Luck!
<span>
<span>
</span><span><span>
Employee
<span> Dante </span>
<span> Elvira </span>
<span> Josie </span>
<span> Victor </span>
</span>
<span>
Gross Income
<span> 52,988.00 </span>
<span> 43,829.00 </span>
<span> 49,789.00 </span>
<span> 46,912.00
</span>
</span>
<span>
Std. deduction
<span> 8,350.00 </span>
<span> 5,700.00 </span>
<span> 8,350.00 </span>
<span> 5,700.00
</span>
</span>
<span>
<span># of exemption </span>
<span> 3 </span><span> 1 </span><span> 2 </span><span> 2
</span>
</span>
<span>
total exemption
<span> 10,950.00 </span>
<span> 3,650.00 </span>
<span> 7,300.00 </span>
<span> 7,300.00
(# of exemption * 3,650)
</span>
</span>
<span>
</span>
<span>
taxable income
<span> 33,688.00 </span>
<span> 34,479.00 </span>
<span> 34,139.00 </span>
<span> 33,912.00
(Gross Income - Std. deduction - total exemption)
Among the workers, DANTE has the lowest taxable income last year. </span></span></span></span>
Answer:
<u>The budget for defense can be represented as x + 660.4</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Budget for education is $ 660.4 billion less than budget for defense in some country
x = represents the budget for education, in billion of dollars
2. How can the budget for defense be represented?
x = represents the budget for education, in billion of dollars
x + 660.4 = represents the budget for defense, in billion of dollars also
<u>The correct answer is that the budget for defense can be represented as x + 660.4</u>
