If both triangles are similar the ratio of sides will be same

The Answer is
D) 31
Because 9x+13,
9(2)+13,
18+13,
31
Answer:
Given: PR=EF, QR=DE and PQ=FD
Now, In △PRQ and △DEF
PR=EF
QR=DE
PQ=FD
Thus, △PQR≅△FDE (SSS rule).
Answer:
∠AKB = 22°
Step-by-step explanation:
Call the point of intersection of BK and AC point P. Then line BK is a transversal to parallel lines AK and BC. Alternate interior angles AKB and PBC will be congruent.
We know that angle PCB is 68°, the difference between 180° and the sum of the two given angles in ΔABC:
∠PCB = 180° -∠PAB -∠ABC = 180° -59° -53° = 68°
Since PB is an altitude, ∠CPB is a right angle. Then ∠PBC is the complement of ∠PCB, so is ...
∠PBC = 90° -68° = 22°
As we said, this is congruent to ∠AKB, so ...
∠AKB = 22°
Carmen bought $8 of corn. Carmen bought 24 wars of corn but 6 ears of corn cost $2. 24 divided by 6 is 4. Which means Carmen bought 4 sets of 6 ears of corn. As Carmen bought four sets of 6 ears of corn, you multiply 4 times the $2 to get your price, which is $8. Ending with the solution that Carmen spent $8.