Answer:
She is incorrect. The correct answer is 285.74
Step-by-step explanation:
A= (pi)r^2
Training wheel: A= (3.14)(3)^2=28.26in^2
Wheel: A= (3.14)(10)^2= 314in^2
314-28.26=285.74in^2
No cap absolutely I think its the 2nd one tho
Answer:
Guided Practice 4: QR = 7.12
Guided Practice 5: x = 15
Step-by-step explanation:
<u>Guided Practice 4:</u><u> </u>
Given that:
PR = 
PQ = 
QR = ?
PQ + QR = PR
6.63 + QR = 13.75
Subtract 6.63 from both sides of the equation to solve for QR:
6.63 - 6.63 + QR = 13.75 - 6.63
QR = 7.12
Check if QR is valid:
PQ + QR = PR
6.63 + 7.12 = 13.75
13.75 = 13.75 (true statement).
<u>Guided Practice 5</u>:
Given that:
AC = 4x - 12
AB = x
BC = 2x + 3
AB + BC = AC
x + (2x + 3) = 4x - 12
Combine like terms:
3x + 3 = 4x - 12
Add 12 on both sides of the equation:
3x + 3 + 12 = 4x - 12 + 12
3x + 15 = 4x
Subtract 3x from both sides of the equation:
3x - 3x + 15 = 4x - 3x
15 = x
Check if AB = x is valid by plugging in 15 to x values in the equation:
AB + BC = AC
15 + 2(15) + 3 = 4(15) - 12
15 + 30 + 3 = 60 - 12
48 = 48 (True statement)
The given triangle is a Right angled triangle,
By applying trigonometry :

_____________________________

Answer:
x = 9
Step-by-step explanation:
Here, we want to find the value of x
To do this, we are going to use the similar triangles principle
When two triangles are similar, the ratio of their corresponding sides are the same
The two similar triangles we shall be using are;
LMN and LJK
Thus, we have it that;
x/8.5 = x+ 9/17
17x = 8.5(x + 9)
17x = 8.5x + 76.5
17x - 8.5x = 76.5
8.5x = 76.5
x = 76.5/8.5
x = 9