4. Supplementary angles together make a straight line (two right angles). So BOE is supplementary to BOC
Answer: ∠BOE
5. Distance and midpoint between (4,-2), (6,8)

midpoint

Answer: distance 2√26, midpoint (5, 3)
6.That's a rectangle oriented parallel to the axes, width parallel to the x axis of 7 - -3 = 10 and length along y of 1 - - 4 = 5, so an area of 10(5)=50
Answer: 50
Answer:
Graph B shows function f of x equals 4 multiplied by 3 to the power of negative x.
Step-by-step explanation:
is the value 4 times three raised to the negative x. Graph B is the best representation.
The complete table of truth value for the composite proposition:
p q ¬ q p ∨ ¬ q (p ∨ ¬ q) ⇒ q
T T F T T
T F T T F
F T F T T
F F T T F
<h3>How to fill a truth table with composite propositions</h3>
In mathematics, propositions are structures that contains a truth value. There are two truth values in classic logics: True, False. Composite propositions are the result combining simpler propositions and operators. There are the following logic operators and rules:
- Negation changes the truth value of the proposition into its opposite.
- Disjunction brings out "true" value when at least one of the two propositions is so.
- Conjunction brings out "true" value when the two propositions are so.
- Conditional form brings out "true" value when both propositions are true or only the consequent is true or both propositions are false.
Now we present the complete table of truth value for the composite proposition:
p q ¬ q p ∨ ¬ q (p ∨ ¬ q) ⇒ q
T T F T T
T F T T F
F T F T T
F F T T F
To learn more on truth values: brainly.com/question/6869690
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Answer:
significance level
Step-by-step explanation:
In other to determine whether her sample proportion is "different enough" than the claimed population proportion, We will set significance level because p-value should be compared to significance level that will allow Joanna to make a conclusion about whether her sample proportion is "different enough" than the claimed population proportion.
Answer:
As below
Step-by-step explanation:
using eq from problem 4) y = -45x + 1080
then use the point slope formula with the slope of the above line at -45 and plug in your given point of (8, 240)
y-y1 = m(x-x1) where m is the slope above
y-240 = -45 (x - 8 ) this is an equation for the line but the teacher probably wants the slope intercept form... the formula is y = mx + b
soooo...
y-240 = -45x + 360
y = -45x +360 + 280
y = -45x + 640
there you go :)