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If line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23
The line AB and BC are intersecting at point B.
Ray BD bisect the angle ABC
∠ABD = x+8 degrees
∠ABD=∠DBC = x+8
Because the ray BD bisect the ∠ABC, so ∠ABD and ∠DBC will be equal
∠ABD+∠DBC= 4x-30 degrees
Because both are vertically opposite angles
Substitute the values in the equation
x+8 + x+8 = 4x-30
2x+16 = 4x-30
2x-4x = -30-16
-2x = -46
x = 23
Hence, if line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23
The complete question is
Line AB and BC are intersecting at point B and ray BD bisect the angle ABC. What is the value of x?
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6.75 is the absolute value of 6.75 absolute value is distance from zero and 6.75 is 6.75 from 0 so is -6.75
Both rhombuses and trapezoids have 4 angles. Angela can add 9 and 6 which will give her 15 and multiply by 4 which will give her 60.
Angela has 60 angles.
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6. If 55% of the selling price is markup, the remainder (45%) is the cost. Gaitan can pay up to 45% of 489.50 = $220.28.
7. If 52% of the selling price is markup, the remainder (48%) is the cost. 48% of the selling price is $38.87.
... 0.48 × selling price = cost
... selling price = cost/0.48 = $38.87/0.48 = $80.98
8. If 40% of the selling price is markup, the remainder (60%) is the cost, $12.95.
... 0.60 × selling price = $12.95
... selling price = $12.95/0.60 = $21.58
9. If 35% of the selling price is markup, the remainder (65%) is the cost.
... 0.65 × $24.00/dz = $15.60/dz
10. If 60% of the selling price is markup, the remainder (40%) is the cost. Veronica can pay up to 40% of $600.00 = $240 for the jacket.