Answer:
m > 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
11 + m > 15
<u>Step 2: Solve for </u><em><u>m</u></em>
- Subtract 11 on both sides: m > 4
Here we see that any value <em>m</em> greater than 4 would work as a solution to the inequality.
The answer is 6.1 = 6 1/10
(2x-3y=-4)-2(x+3y=7)
2x-3y-2x-6y=-4-14
-9y=-18
y=2, making x+3y=7 become:
x+6=7
x=1
So the solution to the system of equations is the point (1,2)
Since the volume of a rectangular prism is V=lwh, we can isolate for h to obtain that h=V/(lw).
So, for the first prism, the height is 117/(4*6.5) = 4.5
Similarly, for the second prism, the height is 175.5/(6.5 * 4) = 6.75
So, the difference in heights is 6.75-4.5=2.25 = 2 1/4 inches
In ΔABC, D and E are the midpoints of AB and AC respectively. We know that the ratio of areas of two similar triangles is equal to the ratio of square of their corresponding sides. Hence, the ratio of the areas ΔADE and ΔABC is ar(ΔADE) : ar(ΔABC) = 1 : 4.
