If we can match teh bases we can solve
because if x=x and xᵃ=xᵇ, we can conclude that a=b
16=2⁴
32=2⁵
rememeber that
2=2 so we conclude that 4(3x+2)=5(-2x-7)
4(3x+2)=5(-2x-7)
expand/distribute
12x+8=-10x-35
add 10x both sides
22x+8=-35
minus 8 both sides
22x=-43
divide both sides by 22
x=-43/22
The sequence is to take the previous number and multiply by 4, so the sequence is
3 12 48 192 768 3072 12288
add them all up and you get 16383
Hello!
So, every interior angle of a regular hexagon measures 120 degrees.
There are six interior angles of a hexagon, so you have to multiply 120 by 6.
120 x 6 = 720
So, the answer to your question is that the sum of the interior angles of a hexagon is 720 degrees.
Hope this helps!
Answer:
y is also doubled.
Step-by-step explanation:
Direct proportionality between 
and 
means that
or
,
which indicates a linear relationship between and because they are related by a constant.
Therefore, if x is doubled, then the new value of is 
The new value of is 2 times the previous; therefore, is doubled as is doubled.
First Question
circumference = pi * diameter
diameter = circumference/pi = 94.2 in./3.14 = 30 in.
The wheels have a 30-inch diameter.
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Second question
The area of a circle: area = pi * r^2
radius = diameter/2 = 94.2 in./2 = 47.1 in.
area = pi * r^2 = 3.14 * 47.1 in. * 47.1 in. = 6966 in.^2
Answer: 6966 in.^2
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Third question
The piece of felt has a width equal to the diameter of the wheel. The length has to be the same as 4 diameters.
4 * 94.2 in. = 376.8 in.
Answer: 376.8 in.
