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alekssr [168]
3 years ago
12

For a craft project, two equilateral triangles are taped together to create a quadrilateral. What is the quadrilateral? rhombus

rectangle trapezoid square

Mathematics
2 answers:
Juli2301 [7.4K]3 years ago
6 0

Answer:- The quadrilateral must be a rhombus.

Explanation:-

Given :-For a craft project, two equilateral triangles are taped together to create a quadrilateral.

We know that an equilateral triangle is a triangle in which all the sides and angles are equal such that its each interior angle should be 60°.

If we join two equilateral triangle by to create a quadrilateral then the sides of the quadrilateral would be same as it was constructed by equilateral triangle.

Then the interior angle for the sides which are not joint will remain same as 60°.

But the interior angle for the vertex of quadrilateral which has formed by joining two triangles will become 60°+60°=120°.

Thus it is not a square , rectangle (no right angle )or trapezoid(quadrilateral have equal sides).

Therefore, the quadrilateral must be a rhombus.

andrew-mc [135]3 years ago
5 0
Rhombus! Hope this is correct i am 99% sure
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Answer:

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

m = -\frac{\cos 2\theta}{\sin \theta}

The tangent line is horizontal when m = 0. Then:

\cos 2\theta = 0

2\theta = \cos^{-1}0

\theta = \frac{1}{2}\cdot \cos^{-1} 0

\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right), for all i \in \mathbb{N}_{O}

\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}, for all i \in \mathbb{N}_{O}

The first four solutions are:

x:   \sqrt{2}   -\sqrt{2}  -\sqrt{2}  \sqrt{2}

y:     1        -1        1     -1

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

6 0
3 years ago
Peter left his home in Chicago and drove to a town a few hours away. On the way there, he drove 40 mph due to traffic, but on th
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Answer:

50 mph

Step-by-step explanation:

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Add the two numbers

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4 0
4 years ago
An equation is shown below:
IrinaK [193]
5(2x - 8) + 15 = -15
               -15      -15     subtract 15 from each side
5(2x - 8) = -30
  ÷5             ÷5             divide both sides by 5
2x - 8 = -6
     +8    +8                   add 8 to each side
2x=2
÷2  ÷2                          divide both sides by 3
x = 1

Checking:
5(2(1)-8) + 15 = -15
5(-6) + 15 = -15
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7 0
4 years ago
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a_sh-v [17]

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Step-by-step explanation:

6 0
3 years ago
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Find the surface area.
qwelly [4]

Answer:

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Step-by-step explanation:

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Multiply 12(16)/2 to get the area of the triangle.

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Multiply 96 by 2 to get 192.

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Height is 20m and the base is 12m

20(12) is 240. Then, multiply by three.

240(3) is 720.

Add 192 and 720 to get 912m.

Hope this helps! Comment if I did something wrong.

5 0
3 years ago
Read 2 more answers
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