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Nadya [2.5K]
3 years ago
6

Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain. Given XY = WZ and XW

= YZ
a.

No; you cannot determine that the quadrilateral is a parallelogram.


b.

Yes; two opposite sides are both parallel and congruent.


c.

Yes; opposite sides are congruent.


d.

Yes; diagonals of a parallelogram bisect each other.

Mathematics
1 answer:
Virty [35]3 years ago
8 0
The best answer is Letter C - Yes, opposite sides are congruent.

If both pairs of opposite sides of a quadrilateral are congruent, then you'll always have two opposite pairs of parallel sides. Congruent<span> means that they measure the same. Since two congruent sides separating the other pair of opposite sides must always keep those opposite lines the same distance apart, then, the opposite sides are also parallel.</span>
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kirza4 [7]

Answer:

The factors are 2v+3,2v+3.

The factors are not 4v+3,4v+3

Step-by-step explanation:

Equation is 4v^2=-12v-9.

This equation can be written as follows:

4v^2+12v+9=0

Here,

12v=6v+6v

Therefore,

4v^2+6v+6v+9=0\\2v(2v+3)+3(2v+3)=0\\(2v+3)(2v+3)=0

So, the factors are 2v+3,2v+3.

The factors are not 4v+3,4v+3

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3 years ago
A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the
d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

Trees = 24

Yield = 104

x \to additional\ trees

So, we have:

Trees = 24 + x

Yield = 104 - 2x

Required

The additional trees to be planted for maximum yield

The function is:

f(x) = Trees * Yield

f(x) = (24 + x) * (104 - 2x)

Open bracket

f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x

f(x) = 2796 + 104x - 48x - 2x^2

f(x) = 2796 + 56x - 2x^2

Rewrite as:

f(x) = - 2x^2 + 56x + 2796

Differentiate

f'(x) = -4x + 56

Equate f'(x) = -4x + 56 to 0 and solve for x to get the maximum of x

-4x + 56 = 0

-4x =- 56

Divide by -4

x =14

The farmer should plant 14 additional trees, for maximum yield.

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Maksim231197 [3]

Answer:

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Step-by-step explanation:

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