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Mashcka [7]
2 years ago
5

PLEASE HELP ME ASAP!!! I WILL MAKE YOU BRAINLIEST AND YOU GET 20 points!!!

Mathematics
1 answer:
uranmaximum [27]2 years ago
3 0

Answer:

I hope this makes sense, sorry for the lack of proofs.

Step-by-step explanation:

It is given that S is the midpoint of line QT. The definition of a midpoint is that it bisects the line it is on. So, line QS and line TS are congruent, or the same.

Now, we also know that line QR and line TU are parallel. Because they are parallel, it means that they form congruent corners with lines QS and TS..I think the proof here is "angles opposite to congruent sides are congruent in a triangle." But I'm not sure if this is right. Anyways, this means angles RQS and UTS are congruent.

There's also some proof that when two lines cross, the opposite angles are congruent. This means that angles TSU and QSR are congruent.

Therefore, by ASA (angle-side-angle) ΔQRS ≅ ΔTUS.

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BRAINLIESSTTTT!!!
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The answer would be B because the sum of the squares of the 2 shorter sides equal the square of the longer side, which is the pythagoream theorem of a^2+b^2=c^2.

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2 years ago
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Inessa05 [86]
Answer:

i. D:All real numbers

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Step-by-step explanation:

The given function is

y=-\frac{1}{2} |x-1|-2

The domain of this function are the values of x that makes the function defined.

The absolute value function is defined for all real values.

The domain is all real numbers.

ii. The range refers to the values of y for which x is defined.

y=-\frac{1}{2} |x-1|-2

The vertex of this function is

(1,-2)

The function is reflected in the x-axis.

The vertex is therefore the maximum point on the graph of the function.

The range is therefore;

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Or

(-\infty,2]

iii. To find the y-intercept, we substitute x=0 into the funtion.

y=-\frac{1}{2} |0-1|-2

y=-\frac{1}{2} (1)-2

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The y-intercept is b=-2.5

The graph is shown in the attachment.

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