Answer:
C. 3,960
Step-by-step explanation:
∆ADB ~ ∆EDC. Therefore,
(substitution)
Solve for x
Cross multiply
5x - 3x = 7,920
2x = 7,920
x = 7,920/2
x = 3,960 meters
We know, S = n/2 [ a + l ]
Here, a = 45
l = 108
Calculation of n:
a(n) = a + (n - 1)d
108 = 45 + (n - 1)1
108 - 45 = n - 1
63 + 1 = n
n = 64
Now, substitute in the expression:
S = 64/2 [ 45 + 108 ]
S = 32 [ 153 ]
S = 4896
In short, Your Answer would be 4896
Hope this helps!
Answer:
mean: 27.6
median: 32
mode: 35
range: 35
Step-by-step explanation:
Definitions:
mean: average
median: middle
mode: the number that comes up the most
range: the difference between the highest and lowest values/numbers
What to do:
mean: you add up all the numbers and then you divide that sum by the amount of numbers there are (I'm not going to do the work because that's a lot of numbers to type out, but you can check your work with my answer).
~answer is 27.6
median: middle number --> 32
mode: the number that comes up the most --> 35
range: 40-5 = 35
Answer:
7n + 9 = n² + 1
n = -1, 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Factoring
- Solving quadratics
Step-by-step explanation:
<u>Step 1: Set up Equation</u>
"Nine more" is + 9
"Seven times a number" is 7n
"One more" is + 1
"Square of the [same] number" is n²
7n + 9 = n² + 1
<u>Step 2: Solve for </u><em><u>n</u></em>
- Subtract 7n on both sides: 9 = n² - 7n + 1
- Subtract 9 on both sides: 0 = n² - 7n - 8
- Factor quadratic: 0 = (n - 8)(n + 1)
- Solve roots: n = -1, 8
