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°
Answer:
I'm not sure but I got -16
Step-by-step explanation:
I just plugged in the -5 in place for the x
Answer:
$10 an hour
Step-by-step explanation:
Subtract the bonus to get the pay.
330-90=240
Divide 240 by 24 hours to get his rate of pay.
240/24=10
He gets $10 an hour.
<h3>What is the greatest common factor for 60 and 45 ?</h3>
<em>The greatest common factor (GCF) is also known as greatest common divisor (GCD).</em>
<em>First we have to find the prime factorization of 60</em>
60 = 2² × 3 × 5
<em>Then we have to find the prime factorization of 45</em>
45 = 3² × 5
<em>Now we have to multiply the common factors to both numbers with a lower exponent</em>
GCF = 3 × 5 = 15
Answer : GCF(60,45) = 15
Hope this helps!
<span>Standard deviation is the square root of variance. Variance is always a non-negative number, since you can't take the square root of a negative number. So neither can be negative </span>
