Mathematics : asked on sk800760
 06.02.2020

in triangles ABC and angle A cong angle L angle B cong angle M and angle C cong angle N this information to prove ABC and LMN congruent through ASAExplain your answer

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24.02.2022, solved by verified expert
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In ∆ABC and ∆LMN 

Angle A is congruent to Angle L 

Angle B is congruent to Angle M

Angle C is congruent to Angle N

It is not necessary that ∆ABC and ∆LMN are congruent. 

Even after having 

Angle A is congruent to Angle L 

Angle B is congruent to Angle M

Angle C is congruent to Angle N

Sides of triangles can be of different size. 

  

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Mathematics
Step-by-step answer
P Answered by Specialist

The given information is not enough to prove that  triangles ABC and LMN congruent through ASA as the included side between the angles are not given to be equal.

Step-by-step explanation:

Given: In triangles ABC and LMN, \angle A\cong \angle L\,,\,\angle B\cong \angle M\,,\,\angle C\cong \angle N

To check: if the given information sufficient to prove triangles ABC and LMN congruent through ASA

Solution:

Two figures are said to be congruent if they are of same shape and size.

Two triangles are said to be congruent by ASA if two angles of one triangle are congruent to the two angles of the other triangle and the included side between the angles of each of the triangles are also congruent.

The given information is not enough to prove that  triangles ABC and LMN congruent through ASA as the included side between the angles are not given to be equal.

Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

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

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following 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

Approximately it is aqual to 1300kg

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

Mathematics
Step-by-step answer
P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

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