Answer: 114°
Step-by-step explanation:
<h2>Concept: </h2>
Here, we need to know the idea of the "Exterior Angle theorem".
<u>The exterior angle theorem</u> states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two opposite interior angles of the triangle.
If you are still confused, then refer to the attachment below for a graphical explanation.
<h2>Solve:</h2>
Given
24 + (2x + 18) = 3x + 6
Put like terms together
24 + 18 + 2x = 3x + 6
Combine like terms
42 + 2x = 3x + 6
Subtract 6 on both sides
42 + 2x - 6 = 3x + 6 - 6
36 + 2x = 3x
Subtract 2x on both sides
36 + 2x - 2x = 3x - 2x
x = 36
Exterior angle = 3x + 6 = 3(36) + 6 = 114°
Hope this helps!! :)
Please let me know if you have any questions
<span>V(h 24) = 30 cm*20 cm*24 cm = 14400 cm³ = 14,4 liters</span>
<span>V(h 15) = 30 cm*20 cm*15 cm = 9000 cm³ = 9 liters</span>
<span> + 6,5 liters = + 6500 cm³ </span>
9 liters + 6,5 liters = 15,5 liters => 15,5 liters -14,4 liters = 1,1 liters
now 15500 cm³ => 1100 cm³ =1,1 liters too much !!
Answer: 1,1 liters of water overflow the container.<span>
</span>
Answer:
-3/2
Step-by-step explanation:
If the first equation is 9x +3/4y = 6, then the solution would look like this:

An appropriate multiplier is -3/2.
Answer:
x^2 -6x +6
Step-by-step explanation:
f (x) = x^2
g (x) = x − 3
f(g(x)) = Substitute g(x) in for x in the function f(x)
= (x-3)^2 -3
=x^2 -3x-3x+9 -3
=x^2 -6x +6