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Blizzard [7]
3 years ago
14

I need some help with a geometry question. Help is very much appreciated!

Mathematics
2 answers:
Talja [164]3 years ago
7 0
First off,congruent triangles are triangles that are equal to another,having the same area,length of sides and angles.

Judging visually,the triangles that are congruent would be:

C and E-as they are both in smaller size.
D and F-as they are both significantly irregular.

That would left A and B:

A-it is very large in size that none other could match
B-it is the only isosceles triangle.

Thus the answer is A and B as they do not match with any others.

Hope it helps!
sdas [7]3 years ago
4 0

Hey there!

Congruent means to be exactly the same. So for these triangles, let's go through each triangle.

Triangle A - There are no other triangles that are the same size, so it is not congruent to any other triangles.

Triangle B - There are no other isosceles triangles of the same size, so it is not congruent to any other triangles.

Triangle C - There is another triangle that appears to be equilateral, as is this one. So, it is congruent to another triangle. The triangle that is congruent to this one is triangle E.

Triangle D - There is another triangle that appears to be obtuse, as is this one. So, it is congruent to another triangle. The triangle that is congruent to this one is triangle F.

Triangle E - This triangle is congruent to triangle C.

Triangle F - This triangle is congruent to triangle D.

Answer: Triangles A + B are not congruent to any others.

Hope this helps!! :)

If there's anything else that I can help you with, please let me know!

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A group of people were asked which of three ice cream flavors they prefer. The results are shown in the table.
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Using it's concept, it is found that the probability of a person being over 20 years old and preferring strawberry ice cream is of 12%.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes.</u>

In this problem, there are 8 + 10 + 6 + 8 + 6 + 12 = 50 people, and of those, 6 are over 20 years old and prefer strawberry ice cream, hence the probability is given by:

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Which of the lines graphed in the diagram represents the equation 6x + 4y = 8
Blizzard [7]
In order to easily discern which graph is a proper representation of 6x + 4y = 8, you first need to convert the equation to y = mx+ b, also known as slope-intercept form. Here's how you can do this:
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4y = -6x + 8
y = -1.5x + 2
The +2 tells you that your line will intercept the vertical y-axis at (0, 2). This narrows it down to graphs a and d. Then, because you have a NEGATIVE number in front of your x (it's -1.5), you can tell that your graph will be going down as it moves from left to right. This leaves you with graph d as your answer!
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If x= 19 feet and y = 12 feet, what is the area and perimeter of the figure above?
Delicious77 [7]

All we need to do to solve this problem is calculate the area of a rectangle and the area of a circle, then <em><u>add them</u></em>!

____________________________

First, let's do the rectangle!

Area of a rectangle = length x width

or in this case... Area = "x" times "y"

Area = 19 × 12 = 228 square feet!

________________________________

Now, let's do the circle!

Area of a circle = πr² ...      (r = radius)

<u><em>*</em></u> In this diagram, the diameter of the circle is also the same length as "y"!

<u><em>* </em></u>And remember that<em> radius is half of the diameter</em>.

radius = 6

Now, let's actually calculate the area

Area = π(6)² ⇒ 36π

Area = 113.1 (I rounded up the decimals!)

_______________________________________

<u><em>*</em></u>But wait! Look at the figure! It looks like HALF of the circle's area <u>was included when we calculated the area of the rectangle</u>! This means that we should divide the area of the circle (that we just calculated) in half!

Area of the HALF CIRCLE = 113.1 ÷ 2 = 56.5

Now let's add the <u>area of the rectangle</u> to the <u>area of the half-circle</u> to find the <u>area of THE ENTIRE FIGURE</u>!

<u>228 + 56.5 = 284.5 </u>

284.5 square feet is our answer!

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