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kifflom [539]
3 years ago
8

Line BD bisects angle ABC. find angle ABC if angle ABD = 5x+16 and angle CBD = 8x-23

Mathematics
1 answer:
Triss [41]3 years ago
6 0

ABC = 162

Step-by-step explanation:

ABD = 5x+16

CBD = 8x-23

ABD = CBD

5x+16 = 8x-23

3x = 39

x= 13

ABC = 5x+16 + 8x-23

=5*13+16+8*13-23

=162

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B is between A and C if AB=3x+4 and BC= 4x-1 and AC=8x+15, find BC
xxTIMURxx [149]

Answer:

BC = \begin{vmatrix}- 49\end{vmatrix} = 49   unit

Step-by-step explanation:

The given as AC is a line with B as its mid point

AND ,

AC = 8x + 15

AB = 3x + 4

BC = 4x - 1

∵ AC = AB + BC

Or, 8x + 15 = ( 3x + 4 ) + ( 4x - 1)

Or, 8x + 15 = 7x + 3

Or, 8x - 7x = 3 - 15

∴             x = - 12

SO,        AC = 8x + 15 = 8 × ( - 12) + 15 = - 81

Or,          AC =   \begin{vmatrix}- 81\end{vmatrix} = 81 unit

And       ,AB = 3x + 4 = 3 × ( - 12) + 4 = - 32

Or         ,AB =  \begin{vmatrix}- 32\end{vmatrix} = 32 unit

Similarly BC = 4x - 1 = 4 × ( - 12) - 1 = - 49

Or,         BC = \begin{vmatrix}- 49\end{vmatrix} = 49 unit Answer

8 0
3 years ago
A virtual reality headset lists for $719. Find the net cost after trade discounts if the series discount is 10/30.
ivann1987 [24]

Answer:

479.33

Step-by-step explanation:

10/30 is the same as 1/3 or 33.34%.

Multiply the fraction to the original price then subtract.

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3 years ago
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a_sh-v [17]
1 gallon = $7.44
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3 0
3 years ago
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