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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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Replace ∗ with a monomial so that the derived equality will be an identity: (15y + ∗)2 = 225y2+12x3y+0.16x6
kobusy [5.1K]

Answer:

<u>∗ = 0.4x³</u>

Step-by-step explanation:

(15y + ∗)² = 225y²+12x³y+0.16x⁶

<u>Note:</u>

225y² = 15y * 15y = (15y)²

12x³y = 2 * 15y * 0.4x³

0.16x⁶ = 0.4x³ * 0.4x³ = (0.4x³)²

So, by factoring the right hand side:

225y²+12x³y+0.16x⁶ = (15y + 0.4x³)²

By comparing the left hand side with (15y + 0.4x³)²

<u>So, ∗ should be replaced with the monomial 0.4x³</u>

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3 years ago
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Leya [2.2K]

Answer:

g(x)=x+8

Step-by-step explanation:

Translating a function up is very simple, all you need to do here is add 8.

If you want to think of it logically,

f(x)=x

the whole right side of the function here can be our output. If x is 8, then the output, or height, is also 8. if you wanted to translate that up to 10, you'd simply need to add 2 to it, meaning x+2. Then, at any given point on the function, it'd be 2 higher than it would be otherwise.

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Dimas [21]

Answer:

16


Step-by-step explanation:

Area = perpendicular height * base

=  DP * CB

=  √[(2 - -1.2)^2 + (-5 - (-3.4)^ ] *  √[(2 - 0)^2 + (3- -1)^2)]

= √(12.8.) * √(20)

=  16

=


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Where is the function?
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Answer:

103

Step-by-step explanation:

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