Answer:
(a) 
(b) 
(c) 
Step-by-step explanation:
(a)



(b)


(c)


Hope this helps!
Answer:
17.5
Step-by-step explanation:
The perimeter is the sum of the side lengths:
perimeter = XZ +WZ +WX
The figure shows us WX = WZ, so we can rewrite the formula as ...
perimeter = XZ +2·WZ
Filling in the given values, this becomes ...
50 = 15 + 2·WZ
35 = 2·WZ
35/2 = WZ = 17.5
The length of WZ is 17.5 units.
Answer:
72km
Step-by-step explanation:
alex : tomos : annabelle = 2 : 3 : 4
if tomos drove 24km
tomos ratio is 3
so 3 --> 24
<em>1 --> 8 </em>
<u>total ratios --> 2 + 3 + 4 = 9</u>
so total journey is 9 --> 9 * 8 = 72km
Answer:
-2
Step-by-step explanation:
15x+6=6x-12
15x-6x=-12-6
9x=-18
x=-2
Answer:
(-3, 4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -x + 1
2x + 3y = 6
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x + 3(-x + 1) = 6
- Distribute 3: 2x - 3x + 3 = 6
- Combine like terms: -x + 3 = 6
- Isolate <em>x</em> terms: -x = 3
- Isolate <em>x</em>: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = -x + 1
- Substitute in <em>x</em>: y = -(-3) + 1
- Simplify: y = 3 + 1
- Add: y = 4