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serious [3.7K]
2 years ago
10

A parallelogram which has a line of symmetry is a rectangletrue or false​

Mathematics
1 answer:
ch4aika [34]2 years ago
3 0
<h3>Answer: False</h3>

Explanation:

If a parallelogram has a line of symmetry through each pair of opposite sides, then we have a rectangle.

But if a parallelogram has a line of symmetry through each pair of opposite vertices, then we have a rhombus.

A square is a combination of both cases above.

The statement "A parallelogram which has a line of symmetry is a rectangle" is sometimes true. Overall its false because it implies that all parallelograms with this property are automatically a rectangle.

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If l and m are parallel,which pair of angles are supplementary?
chubhunter [2.5K]

Answer:

Option (1)

Step-by-step explanation:

Angles 2 and 5 are supplementary by the same-side interior angles theorem.

4 0
2 years ago
A card is selected at random from a standard deck of playing cards.
notsponge [240]

|\Omega|=52\\|A|=4\\\\P(A)=\dfrac{4}{52}=\dfrac{1}{13}

7 0
3 years ago
Identify the intervals on which the function x^2 -2x -48 is positive
lions [1.4K]

Step-by-step explanation:

x² - 2x - 48

= (x - 8)(x + 6)

Coefficient of x² is positive, => Happy shape curved upwards

Hence x < -6 or x > 8.

7 0
3 years ago
Alvin’s first step in solving the given system of equations is to multiply the first equation by 2 and the second equation by –3
Ksivusya [100]

Answer:

One solution: 0x + 0.5y = 0

Step-by-step explanation:

9x + 4y = 36

6x + 2.5y = 24

2 * Eq. 1

18x + 8y = 72

-3 * Eq. 2

-18x - 7.5y = -72

Add the multiples of the equations.

0x + 0.5y = 0

Answer: One solution: 0x + 0.5y = 0

4 0
3 years ago
Read 2 more answers
Two angles form a linear pair. The measure of one angle is 1/3 of the other angle. Find the measure if each angle
sdas [7]

Answer:

<em>The measure of the angles is 45° and 135°</em>

Step-by-step explanation:

When two lines intersect, a linear pair of angles is formed. Two angles are said to be linear if they are adjacent, so a linear pair of angles must add up to 180 degrees.

Let's call x and y the two required angles. Knowing they form a linear pair:

x+y=180

We also know one angle is 1/3 of the other angle, thus:

x=y/3

Or, equivalently:

3x=y

Substituting y into the first equation:

x+3x=180

Simplifying:

4x=180

Solving:

x=180/4=45

The other angle is:

y=3x=3\cdot 45=135

Thus the measure of the angles is 45° and 135°

5 0
3 years ago
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