Answer:
see below
Step-by-step explanation:
(x) = 7 - 2x
Let t(x) =0
0 = 7-2x
Subtract 7 from each side
-7 = -2x
Divide by -2
-7/-2 =-2x/-2
7/2 =x
h(x) = 4x + 2
Replace x with x+3
h(x+3) = 4(x+3) + 2
Distribute
= 4x+12 +2
=4x+14
5).
and
6).
The volume of a sphere is
(4/3) (pi) (radius)³ .
In #5, the 'pi' is already there next to the answer window.
You just have to come up with the (4/3)(radius³).
Remember that the radius = 1/2 of the diameter.
7). The volume of a cylinder is
(pi) (radius²) (height) .
Divide the juice in the container by the volume of one can,
to get the number of cans he can fill.
8). The volume of a cone is
(1/3) (pi) (radius of the round bottom)² (height) .
He starts with a small cone, he then adds clay to it to make it higher.
The question is: How much clay does he ADD to the short one,
to make the bigger one ?
Use the formula to find the volume of the short one.
Use the formula again to find the volume of the bigger one.
Then SUBTRACT the smaller volume from the bigger volume.
THAT's how much clay he has to ADD.
Notice that the new built-up cone has the same radius
but more height than the first cone.
_______________________________________
Don't worry if you don't understand this.
The answer will be this number:
(1/3) (pi) (radius²) (height of the big one minus height of the small one).
My answer would be false. I hope this answers your question!
Answer:
See Below.
Step-by-step explanation:
Paragraph Proof:
We are given that ∠1 ≅ ∠4. ∠1 and ∠4 are alternate exterior angles. Since they are congruent, by the Alternate Exterior Angles Converse, the two lines being cut by the transversal must be parallel. Then by the Alternate Interior Angles Theorem, ∠3 ≅ ∠2.
2-Column Proof
Statements Reasons:
1) 
Given
2) 
Alternate Exterior Angles Converse
3) 
Alternate Interior Angles Theorem
I would write a flowchart as well, but unfortunately, I never learned it that way.
If she mowed 18 lawns in 15 hours and didn’t get paid she would be dumb but if she did get paid the answer is 1.76
