Answer:
x = 4
y = 9
Step-by-step explanation:
It is given that figure (NPQR) is a square. One property of a square is that all sides of a square are congruent. This property also applies to the given square, thus one can make the following statement;
PQ = NR
Substitute,
10y - 29 = 5y + 16
Inverse operations,
10y - 29 = 5y + 16
-5y -5y
5y - 29 = 16
+29 +29
5y = 45
/5 /5
y = 9
Another property of a square is that all of the interior angles of a square have a measure of (90) degrees. Moreover, the diagonals (segment connect non-adjacent vertices) bisect these angles. Thus, twice the measure of an angle formed between a side and a diagonal forms a (90) degree angle. Therefore, one can draw the following conclusion;
2(m<QPR) = 90
Substitute,
2(6x + 21) = 90
Simplify,
12x + 42 = 90
Inverse operations,
12x + 42 = 90
-42 -42
12x = 48
/12 /12
x = 4
Answer:
Addison has more dominoes.
Step-by-step explanation:
Addison: 4 * 5 = 20 dominoes
Corbin: 5 * 3 = 15 dominoes
Answer:
7. Down 5
8. Horizontal reflection
9. Vertical stretch by a factor of 5
Step-by-step explanation:
Transformations of Graphs (functions) is the process by which a function is moved or resized to produce a variation of the original (parent) function.
<u>Transformations</u>
For a > 0








Identify the transformations that take the parent function to the given function.
<u>Question 7</u>


Comparing the parent function with the given function, we can see that 5 has been <u>subtracted from the parent function</u>.
Therefore, the transformation is:

<u>Question 8</u>


Comparing the parent function with the given function, we can see that the <u>parent function has been multiplied by -1</u>.
Therefore, the transformation is:

<u>Question 9</u>


Comparing the parent function with the given function, we can see that the <u>parent function has been multiplied by 5.</u>
Therefore, the transformation is:

Learn more about graph transformations here:
brainly.com/question/27845947