Answer:
shown below
Step-by-step explanation:
1. o corresponds with r
2.q is also 70 degrees
3. and QR is 8.5 inches
Identifying the Constant of Proportionality. ... The constant of proportionality is the ratio between two directly proportional quantities. In our tomato example, that ratio is $3.00/2, which equals $1.50. Two quantities are directly proportional when they increase and decrease at the same rate.
Answer:
(-3/2, -11/2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Equality Properties
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = x - 4
y = 4x + 2
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: x - 4 = 4x + 2
- Isolate <em>x </em>terms: -4 = 4x + 2
- Isolate <em>x</em> term: -6 = 4x
- Isolate <em>x</em>: -3/2 = x
- Rewrite: x = -3/2
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = x - 4
- Substitute in <em>x</em>: y = -3/2 - 4
- Subtract: y = -11/2
two sides are 3 and 6
since triangle is isosceles , the third side can be either 3 or 6
In a triangle , sum of two sides > third side
checking for third side=3 we have {3,3,6}
3+3>6, 6>6 ( false)
checking for third side =6 , we have (3,6,6)
3+6>6 , 9>6 ( true)
6+6>3, 12>3 (true)
so the third side must be 6
Option C. 6 is the correct answer
