angle 4 is the same as angle 8
angle 7 & angle 8 has to equal 180 degree
so angle 7 and angle 4 also have to equal 180
angle 4 is 3 times the size of 7
lets call 7 (x)
so 4(x) = 180
180/4 =45
x=45
angle 7 is 45 degrees
The answer is power of 10
Answer:
<h2>The volume of water in the vase is 339.33 in^3</h2>
Step-by-step explanation:
To calculate the volume of water in the vase we need the following parameters
1. the diameter/radius of the vase
2. the height /level of water in the vase
Given data
diameter d= 6 in
radius = d/2= 6/2 = 3 in
height of water h= 12 in
we know that the expression for the volume of a cylinder is given as

Inserting our data we have

The formula for the perimeter of a rectangle is P = 2L + 2W
you are given P (perimeter) and l (length.
Replace the letters withe the given information and solve for width:
76 = 2(31) +2W
Simplify:
76 = 62 + 2w
Subtract 62 from both sides:
14 = 2w
Divide both sides by 2:
W = 14/2
W = 7 cm
The width is 7 cm.
Answer:
<1 = <3 = 67
<2 = <4 = 113
Step-by-step explanation:
<1 and <3 are equal because they are vertical angles
<1 = <3 = 67
<2 and <3 form a straight line so they add to 180
<2+ 67 = 180
<2 = 180-67
<2 = 113
<2 and <4 are equal since they are vertical angles
<2 = <4 = 113