Step-by-step explanation:
In the attached images we can see the rigid transformation of the function 
1. The basic graph
2. The reflected graph 
3. The displaced graph 
Reflection: In the expression , the sign - before the parenthesis indicates that the function is reflected in the x axis, for this case the function is even, this means that -f(x) = f(-x)
, then the reflection on the x axis is equal to the reflection on the y axis.
Displacement: We observe the term (x-4) of the function and analyze the value -4, where, the sign - indicates displacement to the right and the value 4 indicates the amount that the graph shifted
.
Answer:
triangle A
Step-by-step explanation:
the area is 16cm²
8×4/2 = 32/2 = 16
Answer:
625 cm^2
Step-by-step explanation:
Break it into a rectangle on the bottom and a triangle on top
rectangle area = 50 x 8 = 400 cm^2
triangle area = 1/2 b * h = 1/2 * 50 * 9 = 225 cm^2
added together = 625 cm^2
Given: ∠JNL and ∠MNK are vertical angles and m∠MNK=90°
Prove: ∠JNL is a right angle.
Statements Reasons
1. ∠JNL and ∠MNK are vertical angles. Given
2. 
Vertical angle theorem
3. 
Angle congruence postulate
4. 
Given
5. 
<u> Substitution Property of Equality</u>
Since, the measures of angle JNL and MNK are equal and the measure of angle MNK is 90 degrees. therefore, by substitution property of equality, both the angles JNL and MNK will have an equal measure.
Therefore,
6. ∠JNL is a right angle. Definition of right angle
Since the desk is $69.00 and the shipping charges are 6%
69*.06= 4.14
Your tax would be $4.14 so,
$4.14+$69.00= A total of $73.14
