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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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49x^2=-21x-2 quadratic functions
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Answer: 49x^2=-21x-2 quadratic functions -1/7and -2/7    



Step-by-step explanation:

Quadratic function:

In elementary algebra, the quadratic formula is a formula that provides the solution to a quadratic equation. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring, completing the square, graphing and others.

Move terms to the left side

49x^{2}  =-21x-2

49x^{2}  -(-21x-2) =0

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49x^{2}  -(-21x-2) =0

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Use the quadratic formula



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Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

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let, a=49

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 Replace with values in this equation

X=(-b±√b^{2}  -4ac  ) / 2a

Simplify

Evaluate the exponent

Multiply the numbers

Subtract the numbers

Evaluate the square root

Multiply the numbers

x=(-21±7) /98

Separate the equations

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.Separate

x=(-21+7) /98

x=(-21-7) /98

Solve

Rearrange and isolate the variable to find each solution

x=-1/7

x=-2/7



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