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Taya2010 [7]
4 years ago
8

Find the values of x and y.

Mathematics
1 answer:
Murljashka [212]4 years ago
4 0

ΔABC has two congruent angles. Therefore, it is an isosceles triangle.

Therefore we have the equation (1)  3x - 5 = y + 12.

All angles of the ΔDBC are congruent. Therefore it is an equilateral triangle.

Therefore we have the equation (2)  3x - 5 = 5y - 4

From (1) and (2) we have the equation:

5y - 4 = y + 12      <em>add 4 to both sides</em>

5y = y + 16     <em>subtract y from both sides</em>

4y = 16     <em>divide both sides by 4</em>

y = 4

Substitute the value of y to (1):

3x - 5 = 4 + 12

3x - 5 = 16       <em>add 5 to both sides</em>

3x = 21       <em>divide both sides by 3</em>

x = 7

<h3>Answer: x = 7 and y = 4</h3>

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Answer:

\boxed {\boxed {\sf (-1, -\frac{5}{2} )  \ or \ (-1, -2.5) }}

Step-by-step explanation:

We are asked to find the midpoint of a line segment. The midpoint bisects the line segment, or divides it into 2 equal parts. We find the midpoint by finding the average of the x-coordinates, then the y-coordinates.

( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

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Substitute the values into the formula.

(\frac {-9+7}{2},  \frac{3 + -8}{2})

Solve the numerators.

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( \frac{-2}{2}, \frac {-5}{2} )

Divide.

(-1, - \frac{5}{2} )

The fraction can be written as a decimal.

(-1,-2.5)

The midpoint of the line segment is (-1, -5/2) or (-1, -2.5)

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3 years ago
FIRST PERSON TO ANSWER GET MARKED BRAINLY <br> Find the value.
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Step-by-step explanation:

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Jane took out a loan for college with and interest rate of 5.75%. She does not have to make payments on the loan until she gradu
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Answer: the original amount of the loan is $52000

Step-by-step explanation:

Let P represent the original amount of the loan. We would apply the formula for determining simple interest. It is expressed as

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T represents the duration for which the loan was given in years

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From the information given,

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I = 11960

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11960 = 23P/100 = 0.23P

P = 11960/0.23

P = 52000

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