3×2+14=20
20×3+18=78
78×4+22=334
334×5+26=1696
1696×6+30=10206
Hence, the question mark should be replaced by 10206
The answer is D because then triangles DEF and ABC would mapped onto one another
Answer:
Option C) G.
Step-by-step explanation:
Verify each expression
case E) we have
Any number plus zero equals the original number (Identity property of addition)
-----> is a decimal number
case F) we have
Any number plus zero equals the original number (Identity property of addition)
-----> is a decimal number
case G) we have
Any number plus zero equals the original number (Identity property of addition)
-----> is an integer
case H) we have
division by zero is undefined
<em><u>Simplified </u></em><em><u>Recap:</u></em>
PQR and XYR are similar.
PQ: 4 inches (shortest side)
PR: 9 inches
QR: 12 inches (longest side)
<em><u>Solving:</u></em>
Because they are similar triangles, we know that the sides of one triangle are proportional to the ones on the other. Therefore, the smallest side of PQR is proportional to the smallest side of XYZ. Now, we just need to figure out the constant of proportionality , and we can do that by dividing the smallest side of XYZ triangle by the smallest side of PQR.
Now we know that the constant of proportionality is 4. All we have to do now is solve the problem. The question is asking what the longest side of XYZ is, and to find that we just need to multiply the longest side of PQR by our constant of proportionality.
Therefore, our answer is 48.