360-235=125
235-125=110
110/2=55
Answer: ab -12
Given that y is 12 less than the product of a and b.
The product of a and b is the multiplication of a and b:
a x b = ab
12 less than the product will mean that we need to take away 12 from ab, so
y = ab - 12
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Answer: ab - 12
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Explanation:
<u>Statement</u> . . . . <u>Reason</u>
1. ∠1 ≅ ∠2, ∠J ≅ ∠K . . . . given
2. AB ≅ BA . . . . reflexive property of congruence
3. ΔABK ≅ ΔBAJ . . . . AAS congruence postulate
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The shared side is congruent with itself. Two angles are said to be congruent, and one of those is adjacent to the shared side. This is the setup for claiming AAS congruence.
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<em>Additional comment</em>
It is a good idea to be familiar with the ways triangle congruence can be claimed. There are basically 4 of them: SSS, SAS, ASA, AAS. The special case of two sides and an angle can only be claimed in the form of HL for right triangles.
In these abbreviations, S represents a side; A represents an angle. The order is important: SAS represents the case of the angle being between the two sides, for example.
The angle with a measure of 79 degrees and angle b are alternate exterior angles.
Alternate exterior angles from parallel lines are always congruent; thus, the measure of angle b must be 79 degrees as well.
Hope this helps!