Answer:
d = 105° , e = 32° , f = 43°
Step-by-step explanation:
d and 105° are vertically opposite angles and are congruent , then
d = 105°
e and 32° are vertically opposite angles and are congruent , then
e = 32°
105° , e and f lie on a straight line and sum to 180° , that is
105° + e + f = 180°
105° + 32° + f = 180°
137° + f = 180° ( subtract 137° from both sides )
f = 43°
<h2>Evaluating Composite Functions</h2><h3>
Answer:</h3>

<h3>
Step-by-step explanation:</h3>
We can write how
will be defined but that's too much work and it's only useful when we are evaluating
with many inputs.
First let's solve for
first. As you read through this answer, you'll get the idea of what I'm doing.
Given:

Solving for
:

Now we can solve for
, since
,
.
Given:

Solving for
:

Now we are can solve for
. By now you should get the idea why
.
Given:

Solving for
:

Answer:
x = 5, y = -1/2
Step-by-step explanation:
3.5x - 5y = 20
3x + 4y = 13 multiply by 1.25 so the y's match up (you could match x's too)
3.75x + 5y = 16.25
–––––––––––––––––––––––
3.5x - 5y = 20
3.75x +5y = 16.25
7.25x + 0y = 36.25 you can add or subtract here (on this equation you add)
7.25x=36.25
x=5 So now we have x=5 and to find y we can just plug in x into one of the equations
–––––––––––––––––––
3(5) + 4y = 13
15 + 4y = 13
4y = -2
y = -1/2
x = 5, y = -1/2
Then you can plug in both to check your answers.
Answer:
4/6 and 6/9 us simlar as 2/3
Answer: X= -5
Step-by-step explanation: