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kipiarov [429]
2 years ago
7

Also this question tooo pleease, PS: what topic is this Solve for x.

Mathematics
1 answer:
MrRissso [65]2 years ago
8 0

This falls under geometry. The two labeled angles are congruent, which means the line segment between them (AD in the image) is a bisector of the angle at vertex A. Use the angle bisector theorem, which says that

\dfrac{BD}{DC}=\dfrac{AB}{AC}\iff\dfrac{12}{(5+9x)-12}=\dfrac{15}{25}

\dfrac{12}{9x-7}=\dfrac35

20=9x-7

x=3

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Answer:

Option D.

Step-by-step explanation:

  • First, the you need ti understand that the triangle is an isosceles right angled triangle. In other words, the base and height are equal in length. The third side is the slide. This is the longest side.
  • Next, we know that the formula for calculating the area of a right angled triangle is given by:

        A = 1/2 (base × perpendicular height)

  • The perpendicular height is equal to the base. Let's say the base is <em>x</em>. It means that the height is also x, since height = base.
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           =1/2 (x²)

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     32×2 = x²

     64  = x²

       8   = x

To find the third side, we use the Pythagoras theorem:

    C² = A² + B²

         = 8² + 8²

         = 128

   C = √128

       = 8√2

However, the answer will not be exact, so we  multiply the length of the base and height by 2. This gives x = 16 (Length of base = length of height)

Repeating the steps above gives C = √ (16)² + (16)²

                                                           = √256

This corresponds to option D.

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Answer:

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Step-by-step explanation:

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