Answer:
P(6, 1)
Step-by-step explanation:
Point P is the weighted average of the end point coordinates. The weights are the reverse of the order of the segment lengths:
P = (2A +3B)/(2+3)
P = (2(-3, -2) +3(12, 3))/5 = (-6+36, -4+9)/5
P = (6, 1)
Step-by-step explanation:
11.42
Answer:
The number of tile for which the cost is same route to nearest tile is 49 .
Step-by-step explanation:
Given as :
The cost which Joshua will pay for tile at one store = $ 0.99 per tile + $ 25 for tile saw
The cost which Joshua will pay for tile at another store = $ 1.50 per tile only
Let The number of tile for which the cost is same route to nearest tile = n
So, According to question
$ 0.99 × number of tile + $ 25 = $ 1.50 × number of tile
or, $ 0.99 × n + $ 25 = $ 1.50 × n
or, $ 1.50 × n - $ 0.99 × n = $ 25
I.e 0.51 × n = $ 25
∴ n = 
I.e n = 49.01 ≈ 49
So, The number of tile for which the cost is same route to nearest tile = n = 49
Hence The number of tile for which the cost is same route to nearest tile is 49 . Answer
Answer: x = 57
Step-by-step explanation:
Since CD = AC, triangle ACD is isosceles, therefore
ADC = DAC
ADC + DAC + 112 = 180
ADC + DAC = 180 -112 = 68
ADC + DAC = 68/2 = 34
DEB = 180 - 34 - 23 = 123 (sum of interior angles of a triangle = 180)
Therefore, x = 180 - 123 = 57 (DEB and x are supplementary angles)
Answer:
D - 33
Step-by-step explanation:
From 5 to 6, the number is increasing by 1. Then from 6 to 8, it increases by 2. From 8 to 11 it increases by 3. This pattern continues throughout the entire sequence. Since between 20 and 26, it increases by 6, 26+7 should equal the number between 26 and 41. This number would be 33.