Answer:
x = -8
m∠BDC = 68°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Geometry</u>
- Definition of a Line: A line is 180°
Step-by-step explanation:
<u>Step 1: Set up Equation</u>
m∠BDC + m∠CDA = 180°
(-7x + 12)° + (-8x + 48)° = 180°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: -15x + 60 = 180
- Isolate <em>x</em> term: -15x = 120
- Isolate <em>x</em>: x = -8
<u>Step 3: Find m∠BDC</u>
- Define: m∠BDC = (-7x + 12)°
- Substitute in <em>x</em>: m∠BDC = (-7(-8) + 12)°
- Multiply: m∠BDC = (56 + 12)°
- Add: m∠BDC = 68°
Hey there!
1 + 2 = 3
2/8 + 5/8 . . .
= 7/8 (denominator stays the same)
3 + 7/8 = 3 7/8
The sum of the numbers 1 2/8 and 2 5/8 is 3 7/8.
1 2/8 + 2 5/8 = 3 7/8.
Hope this helps you.
Have a great day!
Can you describe it a little more- I have no clue how I’m suppose to solve that.
Answer:
Line of "rise": (0, 3) to (0, 0) ==> -3 units
Line of "run": (0, 0) to (1, 0) ==> 1 unit
Slope: rise/run ==> -3/1
Step-by-step explanation:
Slope is basically a ratio of changes in the y-value to changes in the x-value. What I mean by that is the slope shows how much the line goes up or down compared to how much the line goes left or right. In this case, the line goes right one unit for every 3 units the line goes down. Taking a look at the portion of the line in Quadrant 1 (top right quadrant), the line starts at (0, 3) and ends at (1, 0). I guess that's another way to figure out slope, too: line up the two coordinates (the leftmost one above the rightmost one), and add or subtract.
Like this:
(0, 3)
<u> (1, 0) </u>
+1 -3
Since the formula for slope is rise/run (y-difference/x-difference), the slope is therefore -3/+1, or simply -3/1. (You don't include plus signs.)
<span>g(x) = 6(4)x, Section A is from x = 0 to x = 1. Your "6(4)x" needs to be written as
</span><span>g(x) = 6(4)^x, where the " ^ " indicates exponentiation.
The average rate of change of g(x) from x= 0 to x=1 is:
6(4)^1 - 6(4)^0 24 - 6
a.r.c. = ----------------------- = ----------- = 18 (answer)
1-0 1
Now do the same thing for x = 1 to x = 2.</span>
