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vichka [17]
2 years ago
5

Please Hurry) What is the length of side AC of the triangle? □ units. ​

Mathematics
1 answer:
NARA [144]2 years ago
8 0

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

\boxed{\mathrm{AC = 25 \:\: units ~}}

\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}

As we can see in the given figure, Angles A and B are equal. therefore their opposite sides will be equal to one another, that is ~

  • AB = BC

now, let's plug the values of AB and BC in terms of x and equate them to find the value of x ~

  • 5x + 5 = 7x - 1

  • 7x - 5x  = 5 + 1

  • 2x = 6

  • x = 6 \div 2

  • x = 3 \:  \: units

now , let's find the measure of side AC ~

  • AC = 6x + 7

that is ~

  • 6(3) + 7

  • 18 + 7

  • 25 \:  \: units

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