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Naily [24]
2 years ago
12

The perimeter of the triangle is 40 units.Which of the following equations could be used to find the value of x?

Mathematics
1 answer:
Artyom0805 [142]2 years ago
5 0

Answer:

13x + 112 = 320.

Step-by-step explanation:

The perimeter is the sum of the 3 sides:

1/2 x + 3/8 x + 11 + 3/4 x + 3 = 40

1/2 x + 3/8 x  + 3/4 x + 3 + 11 = 40

1/2 x + 3/8 x  + 3/4 x + 14 = 40

Multiply through by 8 to remove the fractions:

4x + 3x + 6x  + 14 = 40

13x + 112 = 320.

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Which of the binomials below is a factor of this trinominal? x^2-13+30
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Answer:

(x-3)(x-10)

Step-by-step explanation:

To factor the equation, break it into two binomials which multiply to make the equation. To write these binomials (x+a)(x+b), find factors which multiply to 30 and add to -13 for a and b.

30: 1, 2, 3, 5, 6, 10, 15, 30

-3+-10 = -13

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3 years ago
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tino4ka555 [31]

Answer:

1.2 cm

Step-by-step explanation:

Quadrilateral circumscribing a circle is a quadrangle whose sides are tangent to a circle inside it (see attached diagram).

The area of circumscribed quadrilateral is

A=p\cdot r,

where p=\dfrac{a+b+c+d}{2} is semi-perimeter and r is radius of inscribed circle.

In your case, A=12\ cm^2

If a quadrilateral is circumscribed over the circle, then the sum of opposite sides is equal, so

a+c=b+d=10\ cm,

so

P=10+10=20\ cm\\ \\p=\dfrac{20}{2}=10\ cm

Now

12=10\cdot r\Rightarrow r=\dfrac{12}{10}=1.2\ cm

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