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3 years ago

the vertex angle of on isosceles triangle measures 42 a base angle in the triangle has a measure given by 2x+3

Mathematics

1 answer:

Llana [10]3 years ago

6 0

Answer:

Step-by-step explanation:

I take it that the question is What is the value of x.

... Every triangle has a measure of 180o so that is what is on the right side of the equation.

... the Vertex of an isosceles triangle has a unique value. There is only one angle with a measure of 42.

... The Base angles are equal. And there are 2 of them.

Equation

2x + 3 + 2x + 3 + 42 = 180o

Solution

Combine like terms

2x + 2x + 3 + 3 + 42 = 180 Show the like terms as 1 term for the xs and 1 for the pure numbers on the left.

4x + 48 = 180 Subtract 48 from both sides

4x = 180 - 48 combine

4x = 132 Divide by 4

4x/4 = 132/4

x = 33

Answer

x = 33

2x + 3 = 2*33 + 3 = 69

So the three angles are

69 + 69 + 42

Check

69 + 69 + 42

138 + 42

180 as it should.

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Given:

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To find:

Whether the parallelogram ABCD is a rhombus, rectangle or square.

Solution:

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Using distance formula, we get

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Similarly,

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$AC=\sqrt{(-1-7)^2+(-12-(-4))^2}=8\sqrt{2}$

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Both diagonals are equal.

Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.

We know that, a square is special case of rectangles and rhombus.

So, parallelogram ABCD is a rhombus, rectangle or square. Therefore, the correct option is c.

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