Hello,
Angle BCH and CHJ are alternate-interior ( and have the same measure)
82+30=3n+7
==>3n=105
==>n=35
Answer:
x = -15
Step-by-step explanation:
3x-5=2(2x+5)
Expand by using distributive property
3x - 5 = 4x + 10
Subtract 4x from both sides
3x - 5 - 4x = 4x + 10 - 4x
Simplifying
-x - 5 = 10
Add 5 to both sides
-x - 5 + 5 = 10 + 5
Simplifying
-x = 15
Divide both sides by -1
x = -15
Answer:
B
Step-by-step explanation:
The cylindrical part
Area of the cylindrical part = Circumference of the circle * height
Area of the cylindrical part = pi * d * height
Area = 3.14 * 10 * 9
Area = 282.6
Lid
Area = pi * r^2
r = 5
Area = 3.14* 5^2 * 2
Area = <u> 157</u>
Total 439.6
I know this doesn't look right according to the diagram, but it is the only way that you can solve the question. That is, you must assume there are two lids, not one as the diagram suggests.
The third one would be the correct answer. I separately multiplied each number in the first section by each number in the second section. For instance, 0 x 2 is 0, 4 x 5 is 20, 5 x 3 is 15, and 2 x 0 is 0. All of these numbers are in the third answer.
We have that
smaller figure
ha=8.7
ra=1.6
larger figure
hb=10.44
rb=1.92
ha/hb=8.7/10.44----> 0.83
ra/rb=1.6/1.92-------> 0.83
ratio smaller figure to the larger figure
1.6/1.92-------> divided by 1.6 both members[1.6/1.6]/[1.92/1.6]-------> 1/1.2
the ratio ha/hb is equal to the ratio ra/rb
so
the smaller figure and the larger figure are similar
and
the ratio smaller figure to the larger figure is equal to----> 1/1.2
the answer is
the option yes 1/1.2
