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3 years ago

Select the statement which best fits the justification for the step in Line 5.

Mathematics

2 answers:

kipiarov [429]3 years ago

7 0

Answer:

Simplify

Step-by-step explanation:

zvonat [6]3 years ago

4 0

Do you know the answer???

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Someone please help me.

Free_Kalibri [48]

<h3>Explanation:</h3>

1. PQ║TS, PQ ≅ TS, PT and QS are transversals to the parallel lines . . . given

2. ∠P ≅ ∠T . . . alternate interior angles at PT

3. ∠Q ≅ ∠S . . . alternate interior angles at QS

4. ΔPQR ≅ ΔTSR . . . ASA postulate

_____

You can use any pair of angles together with the sides PQ and TS. If you use the vertical angles and one of ∠T or ∠S, then you must invoke the AAS postulate for congruence, as the side is not between the two angles.

3 0

2 years ago

What is the volume of a cylinder tank with diameter of 50cm and height of 80cm

stepladder [879]

Answer:

12566.37061435917

4000π

Step-by-step explanation:

the equation is 50π×80

this is because you have to find the area of the circle which is diameter times pi and then you multiply that by the height of the cylinder

5 0

2 years ago

I need some help!!!!!!!!!!!!!!!!!!!!!!!

vampirchik [111]

Step-by-step explanation:

We are dealing with theoretical probability. This means that our probability of said outcome is

$\frac{x}{y}$

where x is the outcome we want, and y is the total number of outcomes possible.

28. There is 3 triangles out of 6 polygons so the probability is 1/2.

29.There is 1 Pentagon so the probability is 1/6.

30. This is a complement to question 28. A complement is the inverse of the problem. A complement and its original add to 1 so the probability of both getting a triangle is 1/2.

31. There is 4 non quadraletrial so the probability is 2/3.

32. There is 3 figures that has more sides than three so 1/2 is the probability.

33.There is only multi right angles figures so 1/2 is the probability.

34. There is 30 days in April so the probability it's the 29th is

$\frac{1}{30}$

35. There is 31 days in July and 15 days after the 16th. So the probability

$\frac{15}{31}$

3 0

2 years ago

Find the number of ways you can arrange (a) all of the letters and (b) two of the letters in the word TRY. a. The number of ways

Phantasy [73]

Answer:

a) 6 ways

b) 6 ways

Step-by-step explanation:

a) for all of the letters

for the first letter, we have 3 options

for the second, we have 2 options

for the third, we have 1 option

So the number of options will be;

3 * 2 * 1 = 6

b) for the first, we have 3 options, for the second, we have 2 options

so the number of options will be 3 * 2 = 6 options

8 0

2 years ago

Write the function a a product of linear factor by grouping or using the x method or a combination of both

Sladkaya [172]

<h3><u>Answer:</u></h3>

$\boxed{\boxed{\pink{\sf Option \ A \ is \ correct .}}}$

<h3><u>Step-by-step explanation:</u></h3>

Given function to us is :-

$\bf \implies g(x) = x^2 - 9$

And we , need to write the function a a product of linear factor by grouping or using the x method or a combination of both . So let's factorise this ,

$\bf \implies g(x) = x^2 - 9 \\\\\bf\implies g(x) = x^2-3^2\\\\\bf\implies \boxed{\red{\bf g(x) = (x+3)(x-3) }}\:\:\bigg\lgroup \blue{\tt Using \ (a+b)(a-b) \ = a^2-b^2 }\bigg\rgroup$

I have also attached the graph of x²-9.

<h3><u>Hence </u><u>option</u><u> </u><u>A</u><u> </u><u>is</u><u> </u><u>corr</u><u>ect</u><u> </u><u>.</u></h3>

4 0

3 years ago