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IRINA_888 [86]
3 years ago
6

A playground is shaped like a quaderaleteral with all sides 27 feet long, with two angles measures of 65 degrees and two angles

measures of 115t degrees. What geomatric shape best describes the shape of the playground
Mathematics
1 answer:
Ksivusya [100]3 years ago
7 0

Answer:

Rhombus

Step-by-step explanation:

Shape of a playground is a quadrilateral

It is given that  all sides of a quadrilateral are= 27 feet

Since all the sides of a quadrilateral are equal that it can be either a rhombus or it can be a square

Two angle are 65° each

And other two angers are 115° each

65°+ 115°= 180°

It forms a co-interior angle

Hence the quadrilateral is a parallelogram

Since all the four sides of parallelogram are equal, than the given figure must be rhombus

Hence, geomatric shape best describes the shape of the playground is Rhombus.

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Answer:

q=35

Step-by-step explanation:

x2 - 12x + q = 0

Let the two roots be r and r+2.

Factor the quadratic expression:

(x - r)[x - (r + 2)] = 0

Expand, simplify, group like terms, and get

x2 - 2(r + 1)x + r(r + 2) = 0

Compare to

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and set equal the coefficients of like terms:

Coefficient of x:

-2(r + 1) = -12 ⇒ r + 1 = 6 ⇒ r = 5

(Then the other root is r + 2 = 5 + 2 = 7)

Constant term:

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Test the solution:

(x - 5)(x - 7) = x2 - 12x + 35

With two roots differing by 2, you get an equation of the form

x2 - 12x + q = 0

with q = 35.

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