Answer:
<MBK is approximately equals to < MKB, by reason of property of an isosceles triangle.
Step-by-step explanation:
In the given triangle, < ABC has a bisector K which divides the angle into two equal parts. Then given that BM = MK,
< BMK + < CMK = (sum of angles on a straight line)
< ABC = < CMK (corresponding angles)
Thus, KM ll AB.
Considering the isosceles triangle KBM,
BM = MK (given property of the triangle)
Since two sides are equal, then two angles would be equal.
So that,
<MBK = < MKB (the opposite angles of the sides of an isosceles triangle are equal)
Answer:
A. No solution
Step-by-step explanation:
The given equation is 4(2 x + 9) = 4(2 x +6)
We divide through by 4 to get:
2 x + 9 = 2 x +6
We now group similar terms to obtain:
This final statement is false.
Therefore the given equation has no solution.
2. c = 47,000 × n, where c is the cost of n number of bears.
3. a) The cost to ride 5 rides = $20.50, the cost to ride 8 rides = $28.00
The equation for the pattern, C(x) = 15.50 + 2.50 (r - 3), where C is the cost and r is the number of rides.
b) The cost to ride 12 rides = $36.00.
Step-by-step explanation:
Step 1; To find the cost of one bear, we divide the cost of bears by the number.
If 4 bears cost $188,000, 1 bear costs = = $47,000.
If 7 bears cost $329,000, 1 bear costs = = $47,000.
So the equation is c = 47,000 × n, where c is the cost to buy n bears.
Step 2; For every additional ride, the price increases by $2.50. So the equation for the pattern is C(x) = 13.50 + 2.50 (x - 3).
When the number of rides is 5, C(5) = 15.50 + 2.50 (5-3) = 15.50 + 2.50 (2) = 15.50 + 5.0 = $20.50.
When the number of rides is 8, C(8) = 15.50 + 2.50 (8-3) = 15.50 + 2.50 (5) = 15.50 + 12.50 = $28.00.
When the number of rides is 12, C(12) = 15.50 + 2.50 (12-3) = 15.50 + 2.50 (9) = 13.50 + 22.5 = $36.00.