Answer:
x=26
Step-by-step explanation:
by definition of alternate exterior angle rule 8x -71 = 5x +7
What you want to do is get your X's on one side I recommend subtracting 5x so that you don't have to deal with negative values.
8x-5x-71=5x-5x+7
3x-71=7
add 71 to both sides the goal now is trying to get by itself
3x-71+71=7+71
3x=78
now divide both sides by 3
3x/3=78/3
x=26
Answer:15
Step-by-step explanation:
You have to divide the fractions so it 3/4÷1/10 then you can do keep change flip so the new equation is 3/4×10/1 or 3/4×10 then cross simply then get 3/2×5/1 to get 15/2 then use division to get 7 1/2
Answer:
4951 students
Step-by-step explanation:
If there was 99 students from each state, that would make the total to be:
99 * 50 = 4950
We can use the pigeon hole principle to make this the minimum number required.
The pigeon hole principle basically tells us that if you have more "pigeons" than "holes" then there must be one hole with multiple objects in it.
So, using this idea, we see that:
we need at least 1 more to ensure this
So, min number required would be
4950 + 1 = 4951
Answer:
$60
Step-by-step explanation:
4/100= 0.04
$1500 x 0.04 = 60
<span>For this case we have the following equation:</span>
<span> (x + 2) 2 + y2 = 10</span>
<span> We must remember that the standard equation of the circle is given by:</span>
<span> (x - h) 2 + (y - k) 2 = r2</span>
<span> Where r is the radius.</span>
<span> Therefore, in the given equation the radius is:</span>
<span> r ^ 2 = 10</span>
<span> Clearing we have:</span>
<span> R = root (10)</span>
<span> Answer:</span>
<span> The length of the radius of the circle is:</span>
<span><span> √ (10)</span></span>
