I will give brainliest and 5 stars if you help ASAP​

I will give brainliest and 5 stars if you help ASAP​


[tex]I will give brainliest and 5 stars if you help ASAP​[/tex]

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  1. BC = 13.4

    Step-by-step explanation:

    its a law of cosines S-A-S

    a² = b² + c² - 2bc cosA

    a² = 12.6² + 4.6² - ( 2 * 12.6 * 4.6 * cos 90 )

    a² = 179.92

    a = sqrt (179.92)

    a = 13.4

  2. [tex]Area = 240 m^2[/tex]

    Step-by-step explanation:

    The area of the right triangle above = [tex]\frac{1}{2}*base*height[/tex].

    Where,

    base = 16 m

    height = 30 m

    Plug in the above values into the area formula:

    [tex]Area = \frac{1}{2}*16*30[/tex]

    [tex]Area = 8*30[/tex]

    [tex]Area = 240 m^2[/tex]

  3. XZY = 32 and XYZ = 116

    Explanation:
    Triangle XYZ is an isosceles triangle with XY = ZY and Angle YXZ = XZY

    And YXZ = a = 32 degree

    Which mean XZY also = 32 degrees

    Find XYZ:

    XYZ + YXZ + YZX = 180
    XYZ + 32 + 32 = 180
    XYZ + 64 = 180
    XYZ = 180 - 64
    XYZ = 116

  4. £39.20

    Step-by-step explanation:

    → Identify which ratio goes to each person

    2 : 1 : 5

    2 = Paul

    1 = Colin

    5 = Brian

    → Divide the total tip by the total sum of the ratio's

    £78.40 ÷ ( 2 + 1 + 5 ) ⇔ £78.40 ÷ 8 = £9.80

    → Now we know one part is equal to £9.80 we multiply this number by each of the associated ratio's

    Paul = £9.80 × 2 ⇔ £19.60

    Colin = £9.80 × 1 ⇔ £9.80

    Brian = £9.80 × 5 ⇔ £49

    → Minus Brian's tip against Colin's tip

    £49 - £9.80 = £39.20

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