Answer:
a) <em>"K" is proportional Constant K= 0.0833</em>
<em>b) The value of b = 99.639</em>
Step-by-step explanation:
<u><em>Explanation</em></u> :-
Given 'a' is directly proportional to 'b'
a ∝ b
<em> a = k b ....(i)</em>
<em>where "K" is proportional Constant</em>
<u><em>Case(i)</em></u><em>:-</em>
<em>when a =6 and b=72</em>
<em> a = k b </em>
<em> ⇒ 6 = k (72)</em>
<em> ⇒ </em>
<em> </em>
<u><em>Case(ii)</em></u><em>:- </em>
<em> Given a = 8.3 </em>
<em> a = k b </em>
<em>⇒ 8.3 = 0.0833 ×b</em>
<em>⇒ </em>
<em></em>
<u><em>Final answer</em></u><em>:-</em>
a)<em>"K" is proportional Constant K= 0.0833</em>
<em>b) The value of b = 99.639</em>
<em></em>
<em></em>
<em></em>
<em></em>
Multiply by -2.
x > -8
_____
Multiplying or dividing by a negative number causes the direction of the relationship to change.
Answer:
Part 1) 
Part 2) The measure of the interior angles are 64°-67°-49°
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the value of x
we know that
The sum of the interior angles in any triangle must be equal to 180 degrees
so
In this problem

Solve for x
Combine like terms

Subtract 18 both sides


Divide by 6 both sides

step 2
Find the measure of each interior angle
substitute the value of x in each measure



Answer:
Option D.
Step-by-step explanation:
Total number of cards = 52
Total number of cards of each suit (♠, ♣,♦, and ♥) = 13
The probability of getting a card of heart is



The probability of getting a card other then heart is

If Ming randomly draw a card from the deck 300 times, putting the card back in the deck after each draw, then the number of cards she will draw something other than a heart is

Close to 225 times but probably not exactly 225 times.
Therefore, the correct option is D.
Answer:
The correct answer is option B. 65
Step-by-step explanation:
<u>To find the measure of <VYX</u>
Central angle of arc VW = 44°
Therefore m<VXY = 44/2 = 22°
And central angle of arc XZ = 86° therefore <XVY = 86/2 = 43
<u>To find the mesure of <XYZ</u>
m<XYZ = m<VXY + m<XVY
= 22 + 43
= 65°
Therefore the correct answer is option B. 65°