Answer:
65
Step-by-step explanation:
So we have the expression:

And we want to evaluate it for m=25.
So, substitute 25 for m:

Subtract:

Multiply:

Add:

So, our answer is 65.
And we're done!
Tangent is opposite/adjacent so it would 60/25 which simplifies to 12/5
So this one is a little tricky because in order to solve you need to combine like terms. The only problem is that two fractions don't have the same denominator.
This is what you do.
2/3 - 1/9
= (2*9) - (1*3) / 3*9
= 18 - 3 / 27
= 15/ 27
Simplify.
5/9 + y = 7/9
Now since you need to isolate the variable you have to subtract 5/9 from both sides. Since the denominator is the same you can just subtract the numerator.
So y = 2/9
I hope this helps love! :)
Answer:
14/5
Step-by-step explanation:
Answer:
a) 16.7
b) 13.5
Step-by-step explanation:
AC and DE are parallel, so ∠CAB and ∠EDB are corresponding angles, and ∠ACB and ∠DEB are corresponding angles.
Therefore, ΔABC and ΔDBE are similar triangles. We can use this to write a proportion.
a)
(25 + x) / (18 + 12) = x / 12
12 (25 + x) = x (18 + 12)
300 + 12x = 30x
300 = 18x
x = 16.7
b)
x / (7 + 2) = 3 / 2
x = 13.5