Answer:
Step-by-step explanation:
First, let's look at the largest triangle (two smaller triangles are combined) to solve for 
. Since the sum of the angles in a triangle adds up to 
, we can write the equation:
Looking at the smaller triangle on the left, 
(exterior angle) is the sum of the two opposite interior angles of the triangle on the left:
Since 
is the exterior angle of the triangle on the right, it is equivalent to the sum of the opposite interior angles of that triangle:
Hope this helps :)
Answer:
During the year 2021.
Step-by-step explanation:
As we have a function that defines the annual per capita out-of-pocket expenses for health care, we can work with it.
Knowing that, <u>we clear x</u> (<em>this is the number of years past the year 2000, so it will contain our desired information</em>).
Now, as we want to know when are the per capita out-of-pocket expenses for health care predicted to be $1400, and <em>this total is our variable y</em>, then
Finally, we know that <u>x is the number of years past the year 2000</u>, so the answer is that during the year 2021, <em>the per capita out-of-pocket expenses for health care are predicted to be $1400</em>.
Answer:
Not sure what the answer choices are, but choose the choice that says the new image is either stretched or shrunk. In a dilation, the shape/corresponding sides of the pre-image are preserved in the new image, but the size of the new image is altered.
Step-by-step explanation:
hope this helps!
Answer:
P = 6x-2
x = 14
Step-by-step explanation:
To find the perimeter, we add the sides
P = 4x-8 + 3-2x + 5x+3
Combine like terms
P = 4x-3x+5x -8+3+3
= 6x -2
Now we know the perimeter
82 = 6x-2
Add 2 to each side
82+2 = 6x-2+2
84 = 6x
Divide each side by 6
84/6 = 6x/6
14=x
