Answer:
110 degrees is the largest angle
Step-by-step explanation:
The angles in a pentagon add up to 540 degrees. In general, an n-sided polygon has angles that add up to 180*(n-2) where n is the number of sides. So, we're looking for 5 consecutive numbers that add up to 540. So, the five angles are 106, 107, 108, 109, and 110.
3 + 9 = 12/3 = positive 4 the missing number in the equation is 12/3.
Inversely proportional : it is relationship between two variables in which when one variable's value is increasing than other one is decreasing.
Situation A : The number of miles Rashid drives increases over a period of 5 hours.
→ in this situation both variable no. of miles and period of time are increasing. so it is not represent a inversely proportional relationship.
in next two situation , two variables are increasing with each other.
so we take last situation ↓
Situation : Robin has $100 to share evenly with his cousins at the fair. As the number of cousins who arrive increases, the amount that each person receives
decreases.
→ in this situation , both variable viz no. of cousins and amount they got is inversely proportional to each other. when no. of cousins are increasing than amount is decreasing. so this last one situation represent the inversely proportional relationship.
thanks ❤
Speed of the east bound cyclist is 12 mph and the speed of west bound cyclist is 15 mph.
<u>Solution:</u>
Let us assume that x is speed of slower eastbound cyclist
So, x+3 will be the speed of faster westbound cyclist
We know that distance is the product of speed and time. That is,
West-bound DATA:
Rate of speed = x+3 mph ; Time = 6 hrs ; distance = 6(x+3) = 6x+18 miles
East-bound DATA:
Rate of speed = x mph ; time = 6 hrs. ; distance = 6x miles
On solving,
Distance apart = 162
So, the rate of speed of the east bound cyclist is 12 mph and the rate of speed of the west bound cyclist will be 
Answer:
y=-1/4x+5
Step-by-step explanation:
perpendicular lines have slopes that multiply to -1.
Our given line:
y=4x-5
the slope (m) in it is 4. To find the slope of the perpendicular line:
4m=-1
divide by 4
m=-1/4
the slope of the new line is -1/4
here's our equation so far:
y=-1/4x+b
Since the line will pass through the point (-4,6) we can use it to solve for b (y intercept)
so substitute (-4,6) into the equation
6=-1/4(-4)+b
6=1+b
5=b
the y intercept is 5
so our equation is:
y=-1/4x+5
hope this helps! :D
