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3 years ago

Based on the drawing, Which can be used to prove PQR ≅ STV?

Mathematics

1 answer:

natta225 [31]3 years ago

5 0

Answer:

Option (2) is correct.

Based on the drawing, SAS can be used to prove PQR ≅ STV

Step-by-step explanation:

We have to find the criterion by which the two given triangle can be prove similar from the given options.

Consider, the given triangles from the drawing given

ΔPQR and ΔSTV,

PR = VS (Given)

∠QRP = ∠TVS ( Given)

and, QR = TV (given)

Thus, PQR ≅ STV ( SAS CRITERION)

For SAS criterion , we need to show that two sides and the angle between those sides are equal .

Thus, option (2) is correct.

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Number 1 and 2 please (25 points)

Elenna [48]

Answers:

1) $(3x+2)+(4-5x)=-2x+6$

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Step-by-step explanation:

In mathematics there are rules related to complex numbers, specifically in the case of addition and multiplication:

Addition:

If we have two complex numbers written in their binomial form, the sum of both will be a complex number whose real part is the sum of the real parts and whose imaginary part is the sum of the imaginary parts (similarly as the sum of two binomials).

For example, the addition of these two binomials is:

$(3x+2)+(4-5x)=3x-5x+2+4=-2x+6$

Similarly, the addition of two complex numbers is:

$(3+2i)+(4-5i)=3+4+2i-5i=7-3i$ Here the complex part is the number with the $i$

Multiplication:

If we have two complex numbers written in their binomial form, the multiplication of both will be the same as the multiplication (product) of two binomials, taking into account that $i^{2}=-1$ .

For example, the multiplication of these two binomials is:

$(1-3x)(2+x)=2+x-6x-3x^{2}=-3x^{2}-5x+2$

Similarly, the multiplication of two complex numbers is:

$(1-3i)+(2+i)=2+i-6i-3i^{2}=2-5i-3(-1)=5-5i$

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3 years ago