Matematika

Pertanyaan

tolong di jawab y, peke cara... semua
tolong di jawab y, peke cara... semua

1 Jawaban

  • 1)
    a. ΔACD dan ΔBCD
    b. [∠ABC=∠CAB=75°] dan [∠ACB=2x15°=30°]

    2)
    ∠CBD = ∠ABC : 2 = 60° : 2 = 30°
    ∠ABD = ∠CBD = 30°
    ∠ADB = 180° - ∠BDC = 180° - 60° = 120°
    ∠BAD = 180° - ∠DCB - ∠ABC = 180° - 90° - 60° = 30°

    3)
    a. ∠A + ∠B + ∠C = 180°
    <=> (2x) + (3x + 20°) + (5x - 40°) = 180°
    <=> 10x - 20° = 180°
    <=> 10x = 180° + 20°
    <=> 10x = 200°
    <=> x = 200° : 10
    <=> x = 20°
    b. [∠A = 2x = 2 x 20° = 40°]
    [∠B = 3x + 20° = 3 x 20° + 20° = 60 + 20° = 80°]
    [∠C = 5x - 40° = 5 x 20° - 40° = 100° - 40° = 60°]

    4)
    a. [z = 180° - 150° = 30°]
    [3y = 180° - 105° - z = 180° - 105° - 30° <=> 3y = 45° <=> y = 45° : 3 = 15°]
    b. ∠PQR = 3y = 3 x 15° = 45°

    5)
    a. (2x - 1) + (x + 3) + (5x - 1) = 9
    <=> 8x + 1 = 9
    <=> 8x + 1 (-1) = 9 (-1)
    <=> 8x = 8
    <=> x = 8 : 8
    <=> x = 1
    b. [2x - 1 = 2 x 1 - 1 = 2 - 1 = 1]
    [x + 3 = 1 x 1 + 3 = 1 + 3 = 4]
    [5x - 1 = 5 x 1 - 1 = 5 - 1 = 4]