Can someone please answer 2 for me? I really need help for my quiz.

VARVARA [1.3K]

Answer:

I'm not sure what your asking, but, no, all rectangles are parallelograms.

I found this over the internet, and I hope it helps you understand why a rectangle is always a parallelogram, but a parallelogram is not always a rectangle:

It is true that every rectangle is a parallelogram, but it is not true that every parallelogram is not a rectangle. For instance, take a square. It's a parallelogram — it is a quadrilateral with two pairs of parallel faces. But it is also a rectangle — it is a quadrilateral with four right angles.

5 0

4 years ago

If I lost 4% of 100 pencils an 6% of 200 pens how many pencils do I have left and how many pens do I have left?

DedPeter [7]

To find 4% you multiply 100 by .04
100•.04=4
Then subtract
100-4=96 *you have 96 pencils left*

To find 6% of 200, multiply 200 by .06
200•.06=12
Then subtract
200-12=188 *you have 188 pens left*

6 0

3 years ago

What is the value of x in the equation below 6 (x - 8) equals 72

olga_2 [115]

Here is the equation:

$6(x-8)=72$

In the equation, 6 is being multiplied by x - 8. There are two ways to solve this equation.

FIRST METHOD

You need to remove the parentheses by multiplying everything in the parentheses by 6.

$6(x-8) = (6\times x) + (6 \times -8)$

Multiply:

$6 \times x = 6x\\6 \times -8 = -48$

Remember:

NEGATIVES

Negative(-) times(×) negative(-) = positive(+)

Negative(-) times(×) positive(+) = negative(-)

Negative(-) divided(÷) by positive(+) = negative(-)

Negative(-) divided(÷) by negative(-) = positive(+)

POSITIVES

Positive(+) times(×) positive(+) = positive(+)

Positive(-) times(×) negative(-) = negative(-)

Positive(+) divided(÷) by positive(+) = positive(+)

Positive(+) divided(÷) by negative(-) = negative(-)

Now combine the two values and rewrite the equation:

$6x+-48 \rightarrow 6x-48=72$

Since you're looking for x alone, you will need to remove the -48. This can be done by adding 48 to both sides, -48+48=0, which cancels it out).

$6x-48+48=72+48\\6x=120$

Lastly, divide both sides by 6 to leave x alone.

$\frac{6x}{6} = \frac{120}{6}$

$x=20$

SECOND METHOD

While the first step is somewhat complicated, there is a much easier way.

$6(x-8)=72$

Start by dividing both sides by 6 to remove the number next to the parentheses.

$\frac{6(x-8)}{6} =\frac{72}{6}$

$x-8=12$

(The 6 is cancelled out since 6 divided by 6 equals 1, and 1 × any number is that number).

Now you need to leave the variable alone, which can be done by adding 8 to both sides(-8+8=0 and -8 is cancelled out).

$x-8+8=12+8\\$

$x=20$

Either method can be used, but the second one is definitely shorter!

The answer is x = 20.

8 0

3 years ago

Read 2 more answers

A data set is symmetrical with a mean of 100 and a standard deviation of 5. About what percent of the data is between 90 and 105

saveliy_v [14]

ANSWER:

Is 81.5%

Explore

5 0

3 years ago

(4,2) rotated 180° counterclockwise around the orgin

jonny [76]

Answer: -4, -2

Step-by-step explanation: The formula for a 180 degree counterclockwise rotation is x,y -> -x, -y. You change the sign for both numbers, so they both become negative.

Hope this helped!

5 0

4 years ago

Read 2 more answers