Answer:
K = 11
Step-by-step explanation:
3(k - 6) = 15
3k - 18 = 15
3k = 15 + 18
3k = 33
K = 33/3
K = 11
Thus, the value of K is 11
Answer:
y+6.75
Step-by-step explanation:
Answer: y+6.75
Follow Order of Operations
y+9*3/4
9*3/4 = 6.75
y+6.75
Answer:
76
Step-by-step explanation:
arrange the data set from least to greatest:
16, 31, 55, 61, 92
Range = Highest value - Lowest value = answer
Range = 92 - 16 = 76
Original coordinates of the points:
A (8,15) ; B (12,13) ; C (8,10)
Dilated scale factor of 3.
A ⇒ 3x = 3(8) = 24 ; 3y = 3(15) = 45 ⇒ A' (24,45)
B ⇒ 3x = 3(12) = 36 ; 3y = 3(13) = 39 ⇒ B' (36, 39)
C ⇒ 3x = 3(8) = 24 ; 3y = 3(10) = 30 ⇒ C' (24, 30)
The given image forms a right triangle. So, I'll get the short leg and long leg of the right triangle to solve for the hypotenuse, length of CB.
Short leg: y value of B and C
39 - 30 = 9
Long leg: x value of B and C
36 - 24 = 12
a² + b² = c²
9² + 12² = c²
81 + 144 = c²
225 = c²
√225 = √c²
15 = c
The length of CB is 15 units.
12x-4320=120
12x=120+4320
12x=4440
x=370