Answer:
Surface area: 250
Volume: 1375
Step-by-step explanation:
Scale factor: 4:5
This means that the dimensions of the larger figure are 5/4 of those in the smaller figure.
Surface area:
The surface area is found multiplying the square of the change(5/4) by the original surface area(160). So
Volume:
The volume is found multiplying the cube of the change(5/4) by the original volume(704). So
Answer:
A. (x + 8, y - 4)
Step-by-step explanation:
When something is translated to the right, x goes up, and when something is translated down, y goes down.
Alternatively, eft means down for x and up means up for y.
Answer:
(3, 2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
-3x + 10y = 11
-8x + 2y = -20
<u>Step 2: Rewrite systems</u>
-8x + 2y = -20
- Add 8x to both sides: 2y = 8x - 20
- Divide 2 on both sides: y = 4x - 10
<u>Step 3: Redefine systems</u>
-3x + 10y = 11
y = 4x - 10
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: -3x + 10(4x - 10) = 11
- Distribute 10: -3x + 40x - 100 = 11
- Combine like terms: 37x - 100 = 11
- Add 100 to both sides: 37x = 111
- Divide 37 on both sides: x = 3
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define original equation: -3x + 10y = 11
- Substitute in <em>x</em>: -3(3) + 10y = 11
- Multiply: -9 + 10y = 11
- Add 9 to both sides: 10y = 20
- Divide 10 on both sides: y = 2
<u>Step 6: Graph system</u>
<em>Check the system</em>.
Answer:
h= 60
g= 120
m= 147
k= 33
Step-by-step explanation:
We know that all three lines are straight an continuous, so, at any given point the angles should add up to 180 degrees.
This immediately helps with angle h:
120 + h = 180
h = 60
As well as m:
33 + m = 180
m = 147
There are two ways to solve the next part:
First and most familiar way:
h + g = 180
60 + g = 180
g = 120
and:
m + k = 180
147 + k = 180
k = 33
The other way that I prefer is that the angles opposite of each other when two lines intersect are equal. I don't know if that makes sense, it's hard to explain in this format.
Answer:
False
Step-by-step explanation:
5 3/8 > 5 4/10