Question

Exercitiile 9 si 10 va rog dau coroana si promovare pe instagram ;)))

Answer 1

Explicație pas cu pas:

500<n<1000

n:15=c1r=5=>n=15c1+5=>n-5=15c1

n:18=c2r=5=>n=18c2+5=>n-5=18c2

n:24=c3r=5=>n=24c3+5=>n-5=24c3

Deci avem ca:

n-5=15c1=> 15|n-5

n-5=18c2=>18|n-5

n-5=24c3=>24|n-5

Inseamna ca n-5 :[15,18,24] =>

n-5:360 => n-5€{360,720,1080..} dar cum

500<n<100 => n-5=720 => n=725

a)mABD=mDAC=>2mABD=mBAC=>

2mABD+mABD+30=180 =>3mABD=150 => mABD=50 => mBAC=100

b)mBAC=100 =>mDAC=50

mDAC+30+mADC=180=>80+mADC=180 =>mADC=100

DE bisectoare ADC=>mADE=50 dar cum mBAD=50 si AD secanta =>AB||DE

c)mDAB=mDBA=>Triunghiul ABD isoscel =>BD=AD

mADE=mDAE(50) => Triunghiul ADE isoscel => DE=AE

BD+DE=AD+AE=>AD+AE=AD+AE Adevarat