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Paul [167]
2 years ago
15

Triangles 3 and 4 are identical. They are joined in the poster to form a square. Construct a math argument to show why triangles

3 and 4 are isosceles right angles.

Mathematics
1 answer:
Bond [772]2 years ago
7 0

Triangles 3 and 4 are isosceles right angles because they have same length.

<h3>How to explain the triangle?</h3>

It should be noted be noted that the square has all right angles equal. The largest angle of the triangle is the right angle m.

Here, the triangles are isosceles right angles as both the legs and the acute angles are congruent.

Learn more about triangles on:

brainly.com/question/17335144

#SPJ1

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Which equation has the solutions x=1+/- 5?
nikitadnepr [17]

Answer:

x^{2} -2x-4=0

Solving Steps

Use the quadratic formula

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Multiply / Remove the parentheses / Evaluate

x=\frac{2(+/-)\sqrt{4+16} }{2}

Calculate

x=\frac{2(+/-)\sqrt{20} }{2}

Separate the solutions

x=\frac{2(+/-)2\sqrt{5} }{2} \\x=\frac{2-2\sqrt{5} }2}

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2 years ago
The perimeter of the original rectangle is ______
sergey [27]

Answer:

  • perimter of original rectangle = <u>17. 6 mm</u>
  • side length of the enlarged rectangle = <u>23. 22 mm</u>
  • perimeter of the enlarged rectangle = <u>95. 04 mm</u>

Step-by-step explanation:

<u>PERIMETER</u><u> </u><u>OF</u><u> </u><u>ORIGINAL</u><u> </u><u>RECTANGLE</u>

  • Length of original rectangle = 4.5 mm
  • Width of original rectangle = 4.3 mm

<em>perimeter = 2 × ( length + width)</em>

= 2 × ( 4.5 + 4.3)

= 2 × 8.8

= 17. 6 mm

<u>SIDE</u><u> </u><u>LENGTH</u><u> </u><u>OF</u><u> </u><u>ENLARGED</u><u> </u><u>RECTANGLE</u>

  • Width of original rectangle = 4. 5 mm
  • Width of enlarged rectangle = 24.3 mm

Enlargement factor = 24.3 / 4.5

= 5.4

  • Length of original rectangle = 4.5 mm
  • Enlargement factor = 5.4

Side length of enlarged rectangle

= original length × Enlargement factor

= 4.3 × 5.4

= 23. 22 mm

<u>PERIMTER OF ENLARGED RECTANGLE</u>

= 2 × ( enlarged ength + enlarged breadth)

= 2 × (23. 22 + 24. 3 )

= 95. 04 mm

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