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Effectus [21]
3 years ago
11

Someone plz help me out

Mathematics
1 answer:
laila [671]3 years ago
8 0
One the first set, #1 figure, notice we have two angle tickmarks, so those angles are equal, however, notice at segment AB, is at the border of both triangles, so AB is just the same length for ∡ABC as it's for ∡ADB.

so, we have an Angle, then a Side, and then an Angle, so they're congruent by ASA.

now, on the 2nd set, #2 figure, we have an angle tickmark and a side tickmark, hmmmmm but notice angles 1 and 2, they're just across from each other at that junction, therefore, angles 1 and 2 are vertical angles adn therefore are also equal.

so, we have a Side, then an Angle and then another Side, the triangles are congruent by SAS.
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The governor of state A earns 50, 440 more than the governor of state B. If the total of their salaries is $283,910, can you fin
WITCHER [35]
Use what we know to make equations in order to solve for each governor's salary.
A=governor of state A
B=governor of state B
A+b=283,910. (Their salaries combined)
A=B+50,440 (A earns 50,440 more than B)
Sub A into the original formula to solve for B
B+50,440+b=283,910
2B=283,910-50,440
2B=233,470
B=116,730
Sub B into the formula that's equal to A
A=B+50,440
A=116,735+50,440
A=167,175
I hope this helps!
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