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2 years ago

9. If set A is a subset of set B, and set B is a subset of set C. Is it true that set A is a subset

Mathematics

1 answer:

Gennadij [26K]2 years ago

6 0

Step-by-step explanation:

when B is a subset of C, it means that everything in B is also contained in C. C just contains more than that.

when A is a subset of B, it means in the same way that everything in A is also contained in B. since it is contained in B, it is also contained in C.

so, A is therefore also a subset of C.

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3 years ago

Points S,U, and T are the midpoints of the sides of PQR. Which statements are correct ? 1/2QP=UT 1/2TS=RQ SU=PR SU||RP UT=RP

cricket20 [7]

Answer:

$\frac{1}{2} QP = UT$

Step-by-step explanation:

GIVEN : In ΔPQR

S is the mid point of QP

U is the mid point of PR

T is the mid point of QR

Solution :

i) is true i.e $\frac{1}{2} QP = UT$

Refer the attached file

By mid segment theorem i.e. In a triangle, the line joining the midpoints of any two sides will be parallel to the third side and that same line joining the midpoints is also half of length of third side .

UT is the line joining the two mid points . So, by theorem given above UT is parallel to PQ and 1/2QP=UT.

So, (i) statement is true i.e. $\frac{1}{2} QP = UT$

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3 years ago

Read 2 more answers