Answer:
y = 22.5
Step-by-step explanation:
Here, the 4 angles shown are all exterior angles of the polygon.
The sum of the exterior angles of a polygon is ALWAYS 360°
<em>So we add up the 4 angles (given in terms of y) and sum it to 360 and solve for y:</em>
y = 22.5
You have to know how the value of one unit corresponds to the value of the other unit. For example you have to know that there are 100 cm in 1 m or 1000 m in 1 km. It's easy in metric measurement system because it's all about multiplying/dividing by 10 or its multiplications. But in American/English system you just have to learn the values.
For example:
1 km = 1000 m = 10000 dm = 100000 cm = 1000000 mm
But:
1 mile = 1760 yards = 5280 feet = 63360 inches
Answer:
$551.25
Step-by-step explanation:
$450 x 7.5% = 33.75
33.75 x 3 = 101.25
101.25 + 450 = 551.25
Answer:
Step-by-step explanation:
A: 2x = 3
B: w+1.3 = 2.7
C: 3y = 5.1
D: z+⅓ = ½
Let speed of the boat in still water = x miles per hour
Let speed of the current = y miles per hour
When water and current both flow in same direction then effective speed will be sum of both speeds that is (x+y)
now plug the given values in formula speed=distance/time
we get equation:
(x+y)=160/8
or x+y=20...(i)
When water and current both flow in opposite direction then effective speed will be difference of both speeds that is (x-y)
now plug the given values in formula speed=distance/time
we get equation:
(x-y)=160/40
or x-y=4
or x=4+y...(ii)
plug value of x into (i)
4+y+y=20
4+2y=20
2y=16
y=8
plug value of y into (ii)
x=4+8=12
Hence final answer is given by:
Speed of the boat in still water = 12 miles per hour
Speed of the current = 8 miles per hour
