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Davante
Davante asked in Science & MathematicsMathematics · 1 decade ago

GEOMETRY HELP PLEASE HELP!!!!!!!!!!?

1.If B is between A and C, AB = 6x + 4, BC = 9x - 2 and AC = 19x - 6.

Part a. Find the value of x, AB, BC and AC. Show your work for credit.

Part b. What term best describes point B? Why?

2.InTriangle A B C., angle C is (10x - 5) degrees and segment AB = (6x + 8)mm.

Part a. What value of x would make Triangle A B C.equilateral?

Part b. What is the perimeter or sum of the lengths of the sides of the equilateral triangle? Be sure to include the unit of measure in your solution.

3.Given: Angle E ≅ Angle H and G is the midpoint of segment EH.

Prove: Segment EF is congruent to Segment HI

1 Answer

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  • ?
    1 decade ago
    Favorite Answer

    1)a)If B is between A and C that means that AC =AB+BC. Then

    19x-6=6x+4 + 9x-2 i.e.

    19x-6=15x+2 i.e.

    19x-15x=2+6 i.e.

    4x=8 i.e.

    x=2

    Then AB=6x+4=6*2+4=12+4=16

    BC=8x-2=9*2-2=18-2=16

    And AC=19x-6=19*2-6=38-6=32

    b) Note that AB=BC=AM/2 i.e. B is the midpoint since it divides the segment AC in two equal halves.

    2. a) If ABC is equilateral then all angles are 60 degrees. In particular angle C is 60 degrees.

    Then

    10x-5=60 i.e.

    10x=65

    x=6.5

    b) since x=6.5 then AB=6*6.5+8=39+8=47

    For an equilateral triangle all three sides have the same length so the perimeter is 3*47=141

    3. Please define points F and I otherwise it is unclear what you are asking.

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