Matematika

Pertanyaan

mohon bantuannya ya guys
mohon bantuannya ya guys

1 Jawaban

  • 1) jumlah sudut segitiga ABC = 180°
        ∠ABC + ∠BAC + ∠ACB      = 180°
             40° +     80° + ∠ACB     = 180°
                                    ∠ACB     = 180° - 40° - 80°
                                                   =  60°
        sudut berpelurus = 180°
        ∠ACB + ∠ACD    = 180°
            60°  + ∠ACD   = 180°
                       ∠ACD  = 180° - 60°
                                   = 120°

    2) sudut berpelurur = 180°
        ∠CBA + ∠ABD    = 180°
            4x   + 6x + 10  = 180
                   10 x + 10  = 180
                           10 x  = 180 - 10
                                x  = 170 /10
                                    = 17°
        ∠CBA = 4x
                   = 4 ( 17° )
                   = 68°
        jumlah sudut segitiga ABC = 180°
        ∠CAB + ∠CBA + ∠ACB      = 180°
           54°  +  68°    +  ∠ACB      = 180°
                                    ∠ACB      = 180 - 54 - 68
                                                    = 58°
    3) Luas lingkaran = π r²
                      462    = 22/7 x r²
                           r²   = 462 x 7/22
                                = 147
                           r    = √147
                                = 12,12 cm
        keliling daerah yang diarsir = 3/4 keliling lingkaran + 2 x jari jari
                                                    = 3/4 ( 2 π r ) + 2 x 12,12
                                                    = 3/4 ( 2 x 22/7 x 12,12) + 24,24
                                                    = 81,44 cm

    4) pada belah ketupat berlaku ketentuan sudut yang berhadapan sama besar maka
        ∠BCD  =  ∠DOB
                    = 150°