Answer:
x = -10
Step-by-step explanation:
1) <em>A line creates a 180° angle on each side of it. Even if another line intersects it, we know that the total measure of angles on that side will equal 180°.</em>
2)<em> We set the equations equal to 180.</em>
(-4x) + (-14x) = 180
<em>Combine like-terms</em>
-18x = 180
<em>Isolate </em><em>x</em><em> by dividing both sides by </em><em>-18.</em>
x = -10
3)<em> </em><em>To solve for each angle, you can plug in </em><em>-10</em><em> for </em><em>x</em><em> and solve.</em>
-4(-10) = 40°
-14(-10) = 140°
s=√\frac{n}{n-1} [tex]n∑(x₁-x⁻)^2
i=1
89.6, 48.75, 41.5, 26.57, 22, and 69.3
Answer:
y value = 49
Step-by-step explanation:
You are going to be completing the square
y = - x^2 - 10x + 24 Take a minus outside the brackets for the first 2 terms.
y = - (x^2 + 10x) + 24
Take 1/2 the linear term (1/2 10 and square it. Put that value inside the brackets. 1/2* 10 =5; 5^2 = 25
y = - (x^2 + 10x + 25) + 24
Add 25 outside the brackets.
y = -(x^2 + 10x + 25) + 24 + 25. You should stop here and consider why you are adding 25 outside the brackets. It is because there is a - sign in front of the trinomial and what is inside the brackets is really - 25 when the brackets are removed. Therefore to balance that, you add 25.
Now complete the square.
y = - ( x + 5)^2 + 49
The value you seek is 49.
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I'll confirm this with a graph.
Answer: 75
solve:
For gym A
total cost= membership fee+monthly fee
membership fee=25
monthly fee=25
cost of x month=25x
total cost=25+25x
for gym B
membership fee=10
total cost=55+10x
now total cost are same
25+25x=55+10x
15x=30
x=30/15
x=2.
2 months
and amount =25+25*2=75