Let, speed of 1st bicyclist is x.
So, speed of 2nd bicyclist is x-3 .
We know, relative speed when two objects moves towards each other :

Now, distance travelled in 3 hours is (98-2) miles .
So,

Therefore, speed of bikes are 17.5 mph and 14.5 mph.
Hence, this is the required solution.
First, we need to find the least common denominator. The LCD for 7/8 and 1/3 would be 24. 7*3/8*3 = 21/24. 1*8/3*8 = 8/24. So, how many 8/24 will go into 21/24? 8 goes into 21 two times, and we are left with a remainder of 5. The answer is: Karen can make 2 and 1/24 servings of 1/3 cups of ice cream.
Answer:
42
Step-by-step explanation:
11 - 4 = 7
49 - 7 = 42
Answer:
see explanation
Step-by-step explanation:
∠ YXW = ∠ ZXV ( vertically opposite angles ) , so
4a + 15 = 2a + 65 ( subtract 2a from both sides )
2a + 15 = 65 ( subtract 15 from both sides )
2a = 50 ( divide both sides by 2 )
a = 25
Then
(7)
∠ ZXV = 2a + 65 = 2(25) + 65 = 50 + 65 = 115°
(8)
∠ YXW = ∠ ZXV = 115°
∠ ZXY and ∠ ZXV are adjacent angles and sum to 180° , that is
(9)
∠ ZXY = 180° - 115° = 65°
(10)
∠ VXW = ∠ ZXY = 65° ( vertically opposite angles
Answer:
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Step-by-step explanation:



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Now, Using Pythagoras theorem

plug the values
⇒
Evaluate the power
⇒
Swap the sides of the equation
⇒
Move constant to right hand side and change it's sign
⇒
Calculate the difference
⇒
Squaring on both sides
⇒
Hope I helped!
Best regards!