Please help !! I'm having a difficult time on this !

Mathematics

1 answer:

expeople1 [14]3 years ago

3 0

To find the theorem that proves a conclusion, you need to look at the given information that makes the conclusion true. It may help to first just look at triangle WAS. We are given angles W and S, as well as side WA. Since we have two angles and one side, we can rule out SSS and SAS because each of these choices require two or more sides.

Then, since side WA does not lie within the two given angles, the answer must be AAS. I like to think of it like this: if you are using the theorem ASA, then you have two angles and the side in between them (the arrangement of the letters is important). Choice ASA is incorrect in this case because we are not given side WS.

I hope this helps. Let me know if you need any more help.

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Gaston is buying frult at a local grocery store. This table shows the cost per pound of each type of fruit. Match each

yuradex [85]

Answer:

bananas=$12.72

grapes=$9.48

oranges=$5.85

apples=$5.36

Step-by-step explanation:

To find the total cost for each fruit you would multiply the number of fruit by the cost.

bananas=3*4.24=$12.72

grapes=4*2.37=$9.48

oranges=3*1.95=$5.85

apples=2*2.68=$5.36

4 0

3 years ago

Can someone please help me factor this

Dmitry_Shevchenko [17]

Answer:

$\huge\boxed{\bf\:1}$

Step-by-step explanation:

$\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 } \times \frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }$

Take $\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 }$ & factorise it at first.

$\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 } \\= \frac{\left(x-3\right)\left(x-1\right)}{\left(x-4\right)\left(x-3\right)}\\= \frac{x-1}{x-4}$

Now factorise the next set : $\frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }$ .

$\frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }\\= \frac{\left(x-4\right)\left(x+6\right)}{\left(x-1\right)\left(x+6\right)}\\= \frac{x-4}{x-1}$

Now, multiply the two simplified results.

$\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 } \times \frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }\\= \frac{x-1}{x-4}\times \frac{x-4}{x-1} \\= \frac{\left(x-1\right)\left(x-4\right)}{\left(x-4\right)\left(x-1\right)} \\= \boxed{\bf\: 1}$