Step-by-step explanation:
First we find the function
g
(
f
(
x
)
)
To do this we substitute the variable
x
in
g
(
x
)
for
f
(
x
)
:
∴
g
(
x
)
=
3
x
−
2
g
(
f
(
x
)
)
It would be 14.6 because the 13 in the number are below 5 so you round down
Solve each equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
x=-1, -7
Angles are undefined terms in plane geometry.
The true statements are:
- <em>4. </em><em>.</em>
- <em>5. </em><em />
- <em>6. </em><em> is an obtuse angle</em>
- <em>7. Its supplement must be an acute angle</em>
- <em>8. See attachment</em>
<em />
<u>Question 4</u>
The first statement is represented as:
Supplement of
means that A and B are congruent.
The supplementary of A and B would be the same
The measure of A is then calculated as:
Subtract 22 from both sides
<u>Question 5</u>
If LP and LQ are linear pairs, then:
So:
Substitute
Subtract 90 from both sides
<u>Question 6</u>
--- S and T are supplementary
--- T and U are complementary
Subtract both equations
Make U the subject
This means that:
Hence, is an obtuse angle
<u>Question 7</u>
Obtuse angles are greater than 90 degrees but less than 180.
This means that their supplement must be an acute angle (i.e. less than 90)
<u>Question 8</u>
See attachment
Read more about angles at:
brainly.com/question/13954458
Answer:
c < - 6
Step-by-step explanation:
Given
3(2c - 8) - 10c > 0 ← distribute and simplify left side
6c - 24 - 10c > 0
- 4c - 24 > 0 ( add 24 to both sides )
- 4c > 24
Divide both sides by - 4, reversing the inequality symbol as a consequence of dividing by a negative quantity.
c < - 6