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astra-53 [7]
3 years ago
5

The length of the base of an isosceles triangle is x. The length of a leg is 3x-5. The perimeter of the triangle is 39. Find X.

Mathematics
1 answer:
frozen [14]3 years ago
5 0

Answer:

x = 7

Step-by-step explanation:

In an isosceles triangle, both legs are always congruent. The length of one leg is given, and the other leg has to be the same. The perimeter of this triangle can be written as:

x+(3x-5)+(3x-5)=39

With this equation, all you need to do is solve for x.

3+3x-5+3x-5=39\\(-5-5)+(x+3x+3x)=39\\-10+7x=39\\7x=49\\x=7

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Annita, Gary, and Tara all run races. Annita has 7 less than 4 times the number of race medals as Tara. Gary has 13 more than 2
harkovskaia [24]

Answer:

4 t - 7  = 2 t+ 13  is the required equation.

The number of race medals Tara has is t = 20 medals.

Step-by-step explanation:

Let the number of medals Tara has = t medals

So, the number of medal Anita has  = 4( Medals of Tara) - 7

= 4t - 7

And the number of medals Gary has = 2 times (Medals of Tara) + 13

= 2(t)  + 13  = 2t + 13

Now, Annita and Gary has same number of medals.

⇒  4t - 7  = 2t+ 13

or, 4t - 2t  = 7 + 13

⇒ 2t  = 20

⇒ t = 20/2 = 10

or t = 10

Hence, the number of race medals Tara has is t = 20 medals

6 0
3 years ago
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7 0
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Good luck! :D
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