I had to read this a couple of times to see this was not about time, but is a right triangle problem. If the hour hand is at three, let us consider that a leg of a right triangle, we will consider the hypotenuse as the second hand.
Sketch the picture.
The hypotenuse is 9 cm. the angle is found by:
the (hour hand) is pointing directly at the 12. I expect you mean the minute hand. The angle between the minute hand and the second hand is 25/60*360 = 150 which make the angle between the hour hand and the second hand. 150 -90 =60
so the second hand and the hour hand gives us a right triangle, with a 60 degree angle and a hyp. of 9 cm.
cos 60 = x/9
9 cos 60 =x
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x = 4.5 cm
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Steps:
let “x” be number of hrs
let “y” be total cost
Abe:
50x + 75 = y
Plumbing Service:
65x=y
Since both equations are equal to y, you can set them equal to each other.
65x = 50x + 75
isolate for x:
65x - 50x = 75
15x = 75
x = 5
therefore it will take 5 hours for each to cost the same. you should call Abe for any task more than 5 hours because it will be cheaper and you should call the Plumbing Service for any task less than 5 hours because it will be cheaper.
m□ebd=4 x-8 and m□ebc=5 x+20
This is solvable only if e b is the initial side and b d and b c lies on opposite side of each other and lies on a line i.e c,b,d are Collinear.
∠ebd and ∠ebc will form a linear pair.The meaning of linear pair is that angles forming on one side of a straight line through a common vertex which are adjacent is 180°.
i.e
∠ ebd + ∠ebc = 180°
4 x- 8 + 5x + 20= 180°
adding like terms
⇒ 9 x +12 =180°
⇒ 9 x = 180° - 12
⇒ 9 x = 168°
⇒ x =( 168/9)°=(56/3)°
now m□ebc =5 x +20
= 5 × 56/3 + 20
= 280/3 + 20
=340/3
m□ebc=( 340/3)°
So, solution set is x =(56/3)° and m□ebc =(340/3)°
Answer:
$12.50
Step-by-step explanation:
I might be wrong but you can try this answer
Answer:
Step-by-step explanation:
By triangle theorem for similarity we have
AC||DE if and only if
the ratios
Option I:
Here we find the ratios are equal to 1/2
Hence parallel
OPtion 2:
Here we get both ratios equal to 2/3 Hence parallel
Option 3:
Here we get I ratio =2/5 and II ratio =4/7
Since the two are not equal we get not parallel
