Answer:
x = 10
Step-by-step explanation:
Use CPCTC (Corresponding parts of congruent triangles are congruent).
Set the ratios:
First, simplify. Combine like terms:
Next, cross multiply.
Isolate the variable, x. Divide 6.5 from both sides of the equation:
Check:
Plug in 10 for x (Your answer). Cross multiply, then simplify:
(True).
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Each room has 2 walls that are 4x10 = 40 square feet and 2 walls that are 8x10 = 80 square feet. So 80+80+40+40 = 240 square feet of wall will be painted per room.
We use 2 coats of paint so in effect, we double the area. Imagine laying one thin wall on top of the other. The amount of paint area used per room doubles from 240 to 480
There are 4 of these rooms so 4*480 = 1920
The total area we need to paint is 1920 square feet
Divide this over 32 to get 1920/32 = 60
Final Answer: 60
Answer:
AC is four times longer than DF
Step-by-step explanation:
AC is the diameter of the circle E and DE is the radius of the circle E
AC = 2 x DE
DE is the diameter of the circle F and DF is the radius of the circle F
DE = 2 x DF
AC = 2 x DE
AC = 2 x (2 x DF)
AC = 4 x DF
So AC is four times longer than DF
(21x- 19x) -10= 180
2x-10= 180
2x= 190
x= 95
hope this helps!
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