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2 years ago

Which statements are always true for a rectangle?

Mathematics

1 answer:

LekaFEV [45]2 years ago

5 0

Answer:

True☆The diagonals are congruent.

Not always X All sides are congruent. (Only for rectangles that are also rhombus = a square!)

Not always X The diagonals of a rectangle are perpendicular to each other. (Counterexample: draw a really long rectangle with a tiny, tiny width...the x made by the diagonals is clearly not perpendicular!)

True☆ The opposite sides are parallel. (Bc rectangles are parallelograms, part of the definition)

True☆All angles are congruent. (All four angles are right angles--part of the definition)

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I don’t understand!! Please someone help ASAP !

Lera25 [3.4K]

14. E.because 6.7. none the answers are up there!
15.E. because 10 over 25 which mean divide by 5 equals 2 over 5

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3 years ago

Hello,how do I calculate the the volume of this compound shape?

Setler [38]

To calculate the volume, we can divide this figure into three shapes. Three rectangular prisms, like the following image

The volume of a rectangular prism is given by the product between its 3 different dimensions, width, length and height. The green prism is the easiest to see the its dimensions, it has a width equals to 3, a length equals to 3 and a height equal to 1/2, therefore, its volume is

$V_g=3\times3\times\frac{1}{2}=9\times\frac{1}{2}=\frac{9}{2}=4\frac{1}{2}$

Since the width of the green prism is 3 and the red prism is 1 1/2 apart from the corner of the green prism, the width of the red prism is the difference between those values.

$3-1\frac{1}{2}=\frac{6}{2}-\frac{3}{2}=\frac{6-3}{2}=\frac{3}{2}=1\frac{1}{2}$

The length and the height of the red prism are also easy to see on the image, both of those values are 1, which means the volume of the red prism is

$V_r=1\frac{1}{2}\times1\times1=1\frac{1}{2}$

Finally, the last prism is the blue prism. The height of the green prism and the blue prism combined is equal to 3/4. Since the height of the green prism is 1/2, the height of the blue prism is

$\frac{3}{4}-\frac{1}{2}=\frac{3}{4}-\frac{2}{4}=\frac{3-2}{4}=\frac{1}{4}$

The length of the red prism and the blue prism combined is equal to 3, since the length of the red prism is 1, the length of the blue prism is

$3-1=2$

The width of the blue prism is given, it is equal to 1. With those dimensions, we can finally calculate the volume of the blue prism.

$V_b=\frac{1}{4}\times2\times1=\frac{1}{2}$

The total volume of the compound shape is the sum of all those volumes we calculated.

$V=V_g+V_r+V_b=4\frac{1}{2}+1\frac{1}{2}+\frac{1}{2}=6\frac{1}{2}$

3 0

1 year ago

The ______ is the best measure of central tendency when there are extreme values in the distribution.

notka56 [123]

I think Theodosius the best measure. The outliers will not effect the measure. If you use mean, you add all the data points and divide by the number of data points. The extremes will skew the data. If you use mode, that may work also. You find the data that occurs most often.

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3 years ago

Solve for x mathematics

Bas_tet [7]

Answer:

x = 6

Step-by-step explanation:

9 / 6 = (2x - 6) / 4 (by the side splitter theorem)

6(2x - 6) = 36

12x - 36 = 36

12x= 72

x = 6

3 0

3 years ago

Read 2 more answers

Please help me, I really need help. I will mark brainliest answer!!

masha68 [24]

So, let's list the facts:
1) In a week, the eagle eats 3.85 kilograms
2) there are 7 days in a week
3) on each day, the eagle eats the same amount.
This means that in order to find out how much was eaten on each day, we need to divide the whole week's food by the number of days in a week:

3.85/7= 0.55

(3.85=3.5+0.35 and 5*7=55, so (3.5+0.35)/7=0.5+0.05=0.55

Every day the eagle eats 0.55 kilograms of meat!

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3 years ago