Answer:
a)<em> k(x) = 5x - 2</em>
x = 5(y) - 2
5y = x + 2
y = (x+2)/5
<u>k-¹(x) = (x+2)/5</u>
b) <em>h</em><em>(</em><em>x</em><em>)</em><em> </em><em>=</em><em> </em><em>(</em><em>x</em><em>+</em><em>1</em><em>0</em><em>)</em><em>/</em><em>(</em><em>x</em><em>-</em><em>3</em><em>)</em><em> </em>
x = (y+10)/(y-3)
x(y-3) = y + 10
xy -3x = y + 10
xy - y = 3x + 10
y(x-1) = 3x + 10
y = (3x + 10)/(x-1)
<u>h-¹(x) = (3x+10)/(x-1)</u>
Since both terms are perfect squares, factor using the difference of squares formula, a
^2
−
b^
2
=
(
a
+
b
)
(
a
−
b
) where a
=
a
^2 and b
=
4
.
(
a
^2
+
4
)
(
a
+
2
)
(
a
−
2
)
Answer:
64.1
Step-by-step explanation:
You use Pythagorean theorem which is x^2 +y^2=z^2 (^ this means to the power of) so you would get 55^2+33^2=z^2. solving this would get you z=64.1404708433 or 64.1
Answer:
The missing reason for the 3rd step in the proof below is;
C. Vertical angles are congruent
Step-by-step explanation:
In the two column proof, we have;
Statement 
Reason
1. AB ║ CD 1. Given
2. ∠3 ≅ ∠7 2. Corresponding angles theorem
3. ∠7 ≅ ∠6 3. <u>Vertical angles are congruent</u>
4. m∠3 = m∠7 4. Definition of congruence
m∠7 = m∠6
5. m∠3 = m∠6 5. Substitution
6. m∠3 ≅ m∠6 6. Definition of congruence
Vertical angles are the angles formed on the opposite sides of two straight lines when they cross each other
Other vertical angles in the diagram are;
1) ∠5 and ∠8
2) ∠1 and ∠4
3) ∠2 and ∠3
