Use similarity property:
14 / (14+6) = 21 / (21 + (x+4))
14/20 = 21/(x+25) cross multiplication property
14*(x+25) = 20*21
14x + 350 = 420
14x = 70
x = 70/14 = 5.
Answer:
B. 12
Step-by-step explanation:
✔️Find the value of x
The side lengths of two similar triangles are always proportional.
Given that ∆ABC ~ ∆LMN, therefore:

AB = 5
LM = 10
AC = x + 5
LN = 3x + 3
Plug in the values

Cross multiply

(distributive property)
Collect like terms
Divide both sides by 5
x = 7
✔️Find AC
AC = x + 5
Plug in the value of x
AC = 7 + 5
AC = 12
Answer:
Height of the object is 68.6 cm.
Step-by-step explanation:
The height of the object can be determined by:
= 
From the given question;
object distance from pinhole = 3.6 m = 360 cm
image distance from pinhole = 4.2 cm
height of image = 0.8 cm
So that;
= 
⇒ object height = 
= 
= 68.571
object height = 68.6 cm
Thus, the height of the object is 68.6 cm.
Answer:
Part A:
C= cash Sue earns
H = hours Sue works
C is dependent upon H because C only changes when H is changed.
Part B:
(0,0)
(1,6)
Part C:
C=6H
Answer:
x= 3(y+6) or x = 3y + 18
Step-by-step explanation:
get the "x" by itself.
so first +6 on both sides of the equation to make it x/3=y+6
then multiply both sides by 3 to make it x=(y+6)*3