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4 years ago

Determine whether the parallelogram is a rhombus, rectangle, square, or none. Explain.

Mathematics

1 answer:

lara31 [8.8K]4 years ago

4 0

Answer:

Step-by-step explanation:

The diagonals of the given parallelogram are QS and RT. We would first determine if its diagonals are congruent.

QS = √(1 - 5)² + (3 - 3)² = 16

RT = √(3 - 3)² + (4 - 2)² = 4

Since QS ≠ RT, it means that they are not congruent and this means that the parallelogram is not a rectangle.

Let us check if the diagonals are perpendicular.

Slope of QS = (3 - 3)/(5 - 1) = 0/4

Slope of RT = (2 - 4)/(3 - 3) = - 2/0

The slopes are not opposite reciprocals. It means that the diagonals are not perpendicular. Therefore, the correct option is

D. QRST is none of these because its diagonals are neither congruent nor perpendicular.

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Enter the trigonometric equation you would use to solve for x. Do not solve the equation.

pentagon [3]

Answer:

$x=12\times \text{tan}(20^0)$

Step-by-step explanation:

From the figure attached,

Measure of an angle = 20°

Measure of the opposite side = x

Measure of the adjacent side = 12

By applying tangent rule in the given right triangle,

tan(20°) = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

$\text{tan}(20^0)=\frac{x}{12}$

$x=12\times \text{tan}(20^0)$

Therefore, equation to get the value of 'x' will be,

$x=12\times \text{tan}(20^0)$

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3 years ago

The area of the figure is ___ square units.

Zinaida [17]

Total area = area of the rectangle + area of the triangle

= 3*2 + 2 * (1/2)2

= 6 + 2

= 8 sq units.

Note the area of a triangle = 1/2 * base * height Here the height = 2 and base = 2 units.

6 0

3 years ago

Olive’s solar powered scooter travels at a rate of 30 miles per hour. What equation can she use to calculate her distance with r

kirza4 [7]

Suppose time Olive is traveling is x hours.
distance=speed×time
Olive's speed=30 miles per hour
time= x hours
Therefore, Olive's distance at time x will be given by:
distance=30×x= 30x
The right equation is:
Miles=30x

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4 years ago

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What is the simplified form of 45? A. 5 B. 9.5 C. 3/5 D. 5/3

DENIUS [597]

Answer:

Since radical 45 is equal to radical 9 times radical 5, and because radical 9 is equal to 3 (since 9 is a perfect square), we can simplify radical 45 to 3 times radical 5

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3 years ago

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[02.06]

Tresset [83]

-13>-5x+2>-28 subtract 2 from all expressions

-15>-5x>-30 divide each expression by -5

Be sure to reverse direction of signs when you divide/multiply by a negative value!

3<x<6

So the "graph" will be a infinitely high plane, or area, contained between the two vertical lines x=3 and x=6

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4 years ago

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