Answer:
See below.
Step-by-step explanation:
The question tells us that 2.54 cm is equivalent to 1 inch. The next part wants to know what 5.08 cm is in inches. We can just divide 5.08 by 2.54 to figure that out.
5.08/2.54 = 2
This means that 5.08 cm is 2 inches.
The next one wants to know how many centimeters 10 inches is. We can 2.54 and multiply it by 10.
2.54 · 10 = 25.4
This means that 25.4 cm is 10 inches.
<u><em>Answer:</em></u>
ΔABP is congruent to ΔBAQ
ΔABP ≡ ΔBAQ
<u><em>Explanation:</em></u>
We are given two triangles; ΔABP and ΔABQ
<u>In these two triangles, we have:</u>
AB as a common side
∠ABP = ∠BAQ
AQ = BP
We can conclude that these two triangles are congruent by SAS (side-angle-side) postulate which states that:
"When two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle, then the two triangles are congruent"
Note that when writing congruency statements, the order of the letters is critical as each angle/side in the first triangle must be congruent to its corresponding angle/side in the second triangle.
<u>Based on the above, the congruency statement would be:</u>
ΔABP is congruent to ΔBAQ
Hope this helps :)