Mathematics : asked on pandaho
 16.09.2022

Find the LMC of 5 and 12. Show your work. (3 points)

. 4

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Mathematics
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P Answered by PhD
I'm not positive on the first one but I believe it's all four sides.

2) KPT and KRT. when stating congruence the order must be the same. in this case the start and end of the triangle is the same (K, and T)
3) C. :E, The letter placement matches. in number two P is congruent to R.
4) B. if you start at the top (J) then to find the other triangle you must also start at the top. it goes from J to K. so on the other triangle you must also go the short leg first so M to C. then finish it off.
5)D. if one triangle has LMNPQ, then there are five letters so five parts. the other triangle is congruent and also has five letters and five parts. so there are five congruent parts
6)D. its asking for the triangle congruent to MQN. it says C and N are equal and N is at the end of the order so the congruent triangle must have C at the end of the order.E and Q are congruent and Q is in the middle so E must also me in the Middle. the only option is DEC
7) B this test really makes you focus on placement. in the congruent statement the E and B and both in the middle and therefore pair up together
8)B. again, if you start with the angle that is congruent in one order then its needs to happen for the other order. Then they both follow down the congruent side with 1 tally and finish it off with the side they both share.
9) I'm thinking its "triangles" it sounds like AAS or AAA congruency

As a side note for a lot of these just remember CPCTC. Corresponding Parts of Congruent Triangles are Congruent

Finally 10)C. CPCTC. its all about order
Mathematics
Step-by-step answer
P Answered by PhD
I'm not positive on the first one but I believe it's all four sides.

2) KPT and KRT. when stating congruence the order must be the same. in this case the start and end of the triangle is the same (K, and T)
3) C. :E, The letter placement matches. in number two P is congruent to R.
4) B. if you start at the top (J) then to find the other triangle you must also start at the top. it goes from J to K. so on the other triangle you must also go the short leg first so M to C. then finish it off.
5)D. if one triangle has LMNPQ, then there are five letters so five parts. the other triangle is congruent and also has five letters and five parts. so there are five congruent parts
6)D. its asking for the triangle congruent to MQN. it says C and N are equal and N is at the end of the order so the congruent triangle must have C at the end of the order.E and Q are congruent and Q is in the middle so E must also me in the Middle. the only option is DEC
7) B this test really makes you focus on placement. in the congruent statement the E and B and both in the middle and therefore pair up together
8)B. again, if you start with the angle that is congruent in one order then its needs to happen for the other order. Then they both follow down the congruent side with 1 tally and finish it off with the side they both share.
9) I'm thinking its "triangles" it sounds like AAS or AAA congruency

As a side note for a lot of these just remember CPCTC. Corresponding Parts of Congruent Triangles are Congruent

Finally 10)C. CPCTC. its all about order
Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD
The answer is in the image 

The answer is in the image 

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Mathematics
Step-by-step answer
P Answered by PhD

The solution is given in the image below

The solution is given in the image below
Mathematics
Step-by-step answer
P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

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