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maks197457 [2]
3 years ago
7

Which triangles are congruent by SAS?

Mathematics
1 answer:
boyakko [2]3 years ago
5 0

Answer:

Option A

Triangles ABC and TUV

Step-by-step explanation:

Given three triangles ABC , FGH and TUV

For triangles ABC and FGH, given that

DF =AB

DH = AC

and angle F = angle A

This cannot be taken as SAS congruence because the angle F is not included between the equal sides.  Two triangles can be congruent by SAS only if two sides and included angle are congruent.

For triangles ABC and TUV we have AB=TU, AC = TV and

included angles between these sides are equal.

So these two triangles are congruent

We write corresponding sides only in order Hence ABC = TUV

and Not VTU =ABC

So option A is true.

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Answer:

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We can find the surface area of the object by adding the surface areas of each part. We have many rectangle faces to count and two triangular faces. Each has a formula for the area. We will find the area of each and then add them all together.

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Rectangle - b*h

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There are two triangles on either side. The height is 1.5. The base is 1.8.

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We will start by calculating the largest rectangle on the side. It has height of 4 and a base of 2.5 (shown above left).

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Since there are two (one we can see and one we can't), we will add 10+10 in our final calculation.

Next we calculate the top and bottom. The height is 3 and the base is 2.5 on top. But the bottom sticks out more and adds 1.8 to its base.

Top - 3(2.5)=7.5

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Finally, we will calculate the front side and back(not visible) as well as the slant up front. The back side has height 4 and base 3. The front side has base 3 and height 4-1.5=2.5. The slant has base 2.3 and height 3.

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Read 2 more answers
The probability that Ariana is on time for a given class is 69 percent. If there are 39 classes during the semester, what is the
salantis [7]

Answer:

The best estimate of the number of times out of 39 that Ariana is on time to class is 27.

Step-by-step explanation:

For each class, there are only two possible outcomes. Either Ariana is on time, or she is not. The probability of Ariana being on time for a class is independent of other classes. So we use the binomial probability distribution to solve this question.

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Rounding

The best estimate of the number of times out of 39 that Ariana is on time to class is 27.

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