Answer:
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Step-by-step explanation:
m<MON = 8x - 13°
m<LOM = 7x - 17°
To find : m <MON
First, we have to find the value of x :
Create an equation
( sum of angle in straight line )
Collect like terms

Calculate

Move constant to R.H.S and change its sign

Calculate the sum

Divide both sides of the equation by 15

Calculate

Now, let's find the value of m<MON

Plug the value of x

Calculate the product

Calculate the difference
°
Hope I helped!
Best regards!
It will take the roller coaster 171.652 seconds to pass over the hill and reach ground level
<h3>How to determine the time to hit the ground?</h3>
The function is given as:
h = –.025t^2 + 4t + 50
Set h = 0.
So, we have:
–.025t^2 + 4t + 50 = 0
Using a graphing calculator, we have:
t = -11.652 and t = 171.652
Time cannot be negative.
So, we have:
t = 171.652
Hence, it will take the roller coaster 171.652 seconds to pass over the hill and reach ground level
Read more about quadratic functions at:
brainly.com/question/27958964
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5^(x+3)=25^(x-2)
Apply the exponent rule ( 5 ^2 = 25, so remove the 5 and replace 25?with 2)
x + 3 = 2(x-2)
Simplify:
X + 3 = 2x -4
Add 4 to both sides:
X + 7 = 2x
Subtract x from both sides
X = 7
Answer: x = 7
Go study at your house don’t come again
Answer:
Step-by-step explanation:
27. LMN = LMO- NMO = 85-53 = 32