It would be (A) , the point 9 (38.9) only needs another point to be a whole tenth .
Because LP and NP are the same measure, that means that MP is a bisector. It bisects side LN and it also bisects angle LMN. Where MP meets LN creates right angles. What we have then thus far is that angle LMP is congruent to angle NMP and that angle LPM is congruent to angle NPM and of course MP is congruent to itself by the reflexive property. Therefore, triangle LPM is congruent to triangle NMP and side LM is congruent to side NM by CPCTC. Side LM measures 11.
Answer: x = 16, x = 8
Step-by-step explanation:
|a| > 0, there are two solutions
|a| = 0, there is one solution
|a| < 0, there are no solutions
So, in this problem, we have two solutions.
In absolute value, the expression inside can be equal to itself OR its opposite.
Ex: |y| = y, |y| = -y
So, we can write two equations:
x - 12 = 4, x = 16
-x+12 = 4, x = 8
Check: |16 - 12| = |4| = 4
Check: |8 - 12| = |-4| = 4
Given:
A quadrilateral WXYZ has vertices W(3, −5), X(1, −3), Y(−1, −5), and Z(1,−7).
Rule of rotation is
.
To find:
The vertices after rotation.
Solution:
We know that,
means 90 degrees counterclockwise rotation around the origin.
So, the rule of rotation is defined as

Using this rule, we get




Therefore, the required vertices after rotation are W'(5,3), X'(3,1),Y'(5,-1) and Z'(7,1).