<span>For a parallelogram to be proven to be a rectange, the opposide sides must be parallel and the two adjacent sides must be perpendicular.
For two parallel sides, the slope of the two sides is equal.
Thus, for the parallelogram to be a rectangle, AB is parallel to CD.
The slope of AB = (y2 - y1)/(x2 - x1) while the slope of CD = (y4 - y3)/(x4 - x3)
Also, BC is perpedicular to CD.
For two perpendicular sides, the product of the slopes is -1.
The slope of BC is given by (y3 - y2)/(x3 - x2).
Therefore, for the parallelogram to be a rectangle.
(y2 - y1)/(x2 - x1) = (y4 - y3)/(x4 - x3) and (y4 - y3)/(x4 - x3) x (y3 - y2)/(x3 - x2) = -1.
The third option is the correct answer.</span>
To find the answer, we can first find the age of Rolando in four year:
17+4
=21
We can then proceed to find the current age of Marisa,which is 3/2 of Rolando’s age calculated above:
Let Marisa’s age be y.
3/2 y =21
y = 21 × 2/3
y = 42/3
y = 14
Therefore Marisa is currently 14 years old.
In three years, Marisa would be:
14+3
=17
Therefore, she will be 17 years old.
Hope it helps!
<h2>25 </h2>
Step-by-step explanation:
<h3><em>=</em><em> </em><em>3</em><em> </em><em>×</em><em> </em><em>(</em><em>5</em><em> </em><em>-</em><em> </em><em>1</em><em>)</em><em> </em><em>+</em><em> </em><em>1</em><em>3</em></h3><h3><em>=</em><em> </em><em>3</em><em> </em><em>×</em><em> </em><em>4</em><em> </em><em>+</em><em> </em><em>1</em><em>3</em></h3><h3><em>=</em><em> </em><em>1</em><em>2</em><em> </em><em>+</em><em> </em><em>1</em><em>3</em></h3><h3><em>=</em><em> </em><em>2</em><em>5</em></h3>
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The answer to this question is x=4.
Answer:
yes
Step-by-step explanation:
A number or an integer that divides 8 exactly without leaving a remainder, then the number is a factor of 8. As the number 8 is an even composite number, it has more than two factors. Thus, the factors of 8 are 1, 2, 4 and 8.
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