Answer:
C. (-1.5, 8.875)
Step-by-step explanation:
on a coordinate plane if point(x1,y1) and (x2,y2) is divided by a point p in ratio of m:n then coordinate of point p is given by
p = (nx1 + mx2/ m+n, ny1+my2/m+n)
_______________________________________________
Given point
A (-9, 4) and B (11, 17)
ratio 3:5
m:n = 3:5
m+n = 3+5 = 8
coordinate of point p that partition AB
x = (5*-9 + 3*11) / 5+3 y = (5*4 + 3*17) / 5+3
x = (-45 + 33) / 8 y = (20 + 51) / 8
x = (-12) / 8 y = (71) / 8
x = -3 / 2 = -1.5 y = 8.875
Thus, coordinate of point p is (-1.5, 8.875).
Option C and D is correct .....
Answer:
The total cost of a bicycle after the tax = $900.8
Step-by-step explanation:
Given
- The cost of a bicycle before tax = 837.95 (let say in $)
To determine
The total cost of the bicycle with a sales tax include
The tax amount can be calculated by multiplying Sales tax i.e. 0.075 with the cost of bicycle before tax i.e. 837.95.
Thus,
Tax amount = 7.5% × 837.95
= 0.075 × 837.95
= $62.85
Thus, the tax amount is: $62.85
Total cost after the tax can be calculated by adding the Tax amount and the cost before tax.
Therefore,
The total cost of a bicycle after the tax = $62.85 + $837.95
= $900.8
Hence, the total cost of a bicycle after the tax = $900.8
Answer:
CD = 27
Step-by-step explanation:
Given the triangles are similar then the ratios of corresponding sided are equal, that is
= 
, substitute values
= 
= 3 ( multiply both sides by 9 )
CD = 27
