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goblinko [34]
3 years ago
15

In triangles GHI and RST, ∠G ≅ ∠R, ∠H ≅ ∠S, and segment GI ≅ segment RT. Is this information sufficient to prove triangles GHI a

nd RST congruent through SSS? Explain your answer.

Mathematics
1 answer:
user100 [1]3 years ago
3 0

The given information is not sufficient to prove ΔGHI and ΔRST are congruent through SSS congruence.

<h3>What is SSS congruence of triangles?</h3>

As per the SSS congruence of a triangle, if all the three sides of a triangle are equal to the all the three corresponding sides of another triangle, then the two triangles are congruent triangle.

Since one side and two angles of the triangle are given, the triangles can not be proved to be congruent as per the SSS congruence of triangles. Hence, the given information is not sufficient to prove ΔGHI and ΔRST are congruent through SSS congruence.

Learn more about SSS Congruence:

brainly.com/question/535562

#SPJ1

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There are 16 entrees available at a restaurant. From these, Archie is to choose 6 for his party. How many groups of 6 entrees ca
goblinko [34]

Answer: 8008

Step-by-step explanation:

Total entrees = 16

Number of entrees to choose = 6

Since order does not matter , so we combinations .

Number of combinations to choose r things out of n = C(n,r)=\dfrac{n!}{r!(n-r)!}

Then, total ways to choose 6 entrees = C(16,6)=\dfrac{16!}{6!10!}

=\dfrac{16\times15\times14\times13\times12\times11\times10!}{(720)10!}\\\\= 8008

Hence, the required number of ways= 8008

4 0
3 years ago
Please help I don’t get this will mark brainliest
velikii [3]

Answer:

Reduction

Step-by-step explanation:

So, lets go over what we know:

The black rectnagle is the orginal shape.

The organe rectnalge is the new shape.

The organge rectangle is smaller than the black rectangle.

The rogane rectangle is a scaled image of the black rectangle.

So, enlargment is when a object has a scale factor that makes it bigger than the orgninal object.

Reduction, on the other hand, is when a object has a scale factor that makes it smaller than the orginal object.

As we can see, the organe rectnagle is much smaller than the black rectnalge.

So this must be reduction, since the organe rectangle has a small scale factor that causes the shape to shrink in size.

Hope this makes sense and helps you! :)

4 0
4 years ago
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Studentka2010 [4]

I think the answer is A

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4 years ago
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serious [3.7K]
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For which of the following integrands will the table method for parts produce an antiderivative?
Sonja [21]

Answer:

x³ sin(x)

Step-by-step explanation:

Tabular method is a special form of integration by parts.  It works by taking derivatives of u and integrals of dv.  You multiply diagonally, then sum the results, alternating the signs.

The important thing to note is that this will produce an antiderivative only if the derivatives of u eventually become 0.  So the correct choice is x³ sin(x), because the derivatives of x³ eventually becomes 0:

d/dx (x³) = 3x²

d/dx (3x²) = 6x

d/dx (6x) = 6

d/dx (6) = 0

8 0
4 years ago
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