Answer:
First statement: Angles 1 and 3 are vertical angles.
First reason: Definition of supplementary
Second Reason: Vertical angles are congruent
Third Reason: Vertical Angles Theorem
Step-by-step explanation:
Hope this helps: Angles that form an X- Type figure are congruent.
Answer:
Option d. PQ = YZ
Step-by-step explanation:
<u><em>The question in English is</em></u>
Choose the most appropriate answer. The PQR triangle and the XYZ triangle are two congruent triangles. The angle P = the angle Y and PR = YX. Side pairs of the same length are ... a. PQ = XZ b. QR = YZ c. QR = XY d. PQ = YZ
we know that
If two triangles are congruent, then its corresponding sides and its corresponding angles are congruent
Corresponding sides are named using pairs of letters in the same position on either side of the congruence statement
so
we have that


so
Triangle PQR is congruent with Triangle YZX
That means
<em><u>Corresponding angles</u></em>



<u><em>Corresponding sides</em></u>

Answer:
-2a³+9a²+45a+6ab²+18b²
Step-by-step explanation:
(a+3)(-2a²+15a+6b²)
Distribute the a:
-2a³+15a²+6ab²
Then distribute the 3:
-6a²+45a+18b²
Now add both of the results together:
-2a³+15a²+6ab²-6a²+45a+18b²
Combine like terms:
-2a³+9a²+45a+6ab²+18b²
Answer:
t:

meaning any number can substitute t and it would be the same answer.