From the given attachment, the triangles are similar.
45/(6x + 4) = 90/(4x + 56)
45(4x + 56) = 90(6x + 4)
180(x + 14) = 180(3x + 2)
3x - x = 14 - 2
2x = 12
x = 12/2 = 6
Length of midsegment = 6x + 4 = 6(6) + 4 = 36 + 4 = 40
Answer:
39/37 and 6/5
Step-by-step explanation:
To start, let's assume that 9-8x is positive (we will do this to get rid of the absolute value, but then check later). We get 9(9 - 8x) = 2x + 3, or 81 - 72x = 2x + 3, so 74x = 78 and x = 39/37. If we assume 9-8x is negative, the |9-8x| will turn into 8x-9, so we get 9(8x - 9) = 2x + 3, or 72x - 81 = 2x + 3 , so 70x = 84 and x = 6/5. If we plug the values back in, 9-8(39/37) needs to be positive, which works, and 9-8(6/5) needs to be negative, and this works, so the answers are 39/37 and 6/5.
<h2>Writing an linear equation from a given scenario</h2>
Answer:
Choice B
<h3>
Step-by-step explanation:</h3>
<em>Please refer to my answer from this question to know more about writing a </em><em>linear</em><em> </em><em>equation</em><em> from a given scenario: </em><em><u>brainly.com/question/24599307</u></em>
Scenario: A submarine dives
feet per minute.
We let
, be the position of the submarine from sea level as a function of
, the time (in minutes) since the submarine dived.
The given scenario states that for every minute, the position of the submarine <u>decreases</u> (because the submarine is going in a downward direction) by
feet. So
can be defined as
.
Now we can select two points for the graph. We can select points
and
.
Evaluation of function:


Our points are
and 
Choice A doesn't touch our chosen points. In Choice C, it would be the case if the submarine is going in upward direct.
So the correct graph is Choice B.