The number has 3 digits. The number of ones is twice the number of hundreds. The tens digit is the sum of the other two digits. The sum of the hundreds and tens digits is 8. What is the number?

The number in the one's place is either 1, 3, 5, 7, or 9.

The number in the hundreds place is either 2, 3, 4

The number in the tens place is either 4, 6, or 8.

Step-by-step explanation:

Looked it up

We require the congruence between another pair of corresponding angles to say that those triangles are similar by the Angle-Angle Postulate.

Step-by-step explanation:

To prove that the two triangles similar we can use these postulates:

Angle-Angle Postulate: if two pairs of corresponding angles between two triangles are congruent, then, those triangles are similar.Side-Side-Side Postulate: if all corresponding sides between two triangles are proportional, or they are in a same proportion, then, those triangles are similar.Side-Angle-Side Postulate: If two pairs of corresponding angles are proportional, and one pair of corresponding angles (which are formed by the proportional sides) are congruent, then, those triangles are similar.

So, in the problem, we know that one pair of corresponding triangles are congruent. Now, we require the congruence between another pair of corresponding angles to say that those triangles are similar by the Angle-Angle Postulate. That's the shortest way.