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Dmitry [639]
2 years ago
11

The triangles below are not drawn to scale or to proper proportions.

Mathematics
1 answer:
Lesechka [4]2 years ago
4 0

Answer/Step-by-step explanation:

Given:

m<A = 115,

m<B = 78,

m<C = 35,

✔️m<1 = 180 - m<A (angles on a straight line/supplementary angles)

m<1 = 180 - 115 (substitution)

m<1 = 65°

✔️m<2 + m<1 + m<B = 180° (sum of interior angles of a triangle)

m<2 + 65 + 78 = 180

m<2 + 143 = 180

m<2 = 180 - 143 (substitution property of equality)

m<2 = 37°

✔️m<3 = 180° - m<B (supplementary angles)

m<3 = 180 - 78

m<3 = 102°

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Vlad1618 [11]

Answer:

The third option

Step-by-step explanation:

This is because you plug in 1 as a test into each of the equations and see if it equals to 12.25. It works for the third option. To verify that you can also plug in different x values and see if they match the y value.

6 0
3 years ago
Read 2 more answers
What would be the answer for 24y =7
Marta_Voda [28]

Answer:

y=\frac{7}{24}

Step-by-step explanation:

24y = 7

Our primary objective here is to get y on it's own side, without any numbers attached.

Since a 24 is attached to the y, we have to divide the 24y by 24.

24y=7

\frac{24y}{24} = \frac{7}{24}

Remember that whatever we do to one side, we MUST do to the other.

y=\frac{7}{24}

Since \frac{7}{24} can't be simplified, that would be our answer.

Please let me know if you need help with anything else. :)

5 0
3 years ago
5<img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20" id="TexFormula1" title=" x^{2} " alt=" x^{2} " align="absmiddle" class="la
AlladinOne [14]
X=6
First subtract 11 from both sides and you'll get 5x^2=180 then divide 180 by 5 which equals 36 you get x^2=36 find square root of 36 is 6
4 0
2 years ago
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Tju [1.3M]

Answer:

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7 0
2 years ago
A straight slide in a playground design makes an isosceles triangle with the
julia-pushkina [17]

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.
  • Therefore, the formula will be:

       A = 1/2 (x.x)

           =1/2 (x²)

      32 = 1/2 (x²)

     Multiplying both sides by 2 gives:

     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.

3 0
3 years ago
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