2.4*x/2=34.68
2.4*x=69.36
x=28.9
(x is the height)
Answer:
x = 1
Step-by-step explanation:
4x-5=y
4x-5= -1
4x = -1+5
4x=4
x=1
2x-y=3
2x-(-1)=3
2x+1=3
2x= 3-1
2x= 2
x=1
since the two answers for x are the same therefore:
x = 1
Answers and Step-by-step explanations:
16. Yes; we can see that AB || CD, so by definition of alternate angles, angles BAE and CDE are equal. In addition, angles AEB and CED are vertical angles, so by definition, they are congruent. Then by the AA Similarity Theorem, triangles AEB and CED are similar.
17. No; we see that KL = NO and that angles KLJ and NOM are congruent. However, there is no other indication (whether it's same angles or corresponding sides with the same ratio) that we can use to prove the two triangles are similar. So, these triangles are not similar.
18. Yes; we can see that ML || PO, so by definition of corresponding angles, angles NML and NPO are equal. In addition, we can obviously see that angles MNL and PNO are literally the same angle. So by AA Similarity Theorem, triangles MNL and PNO are similar.
Hope this helps!
They should get 1.5 (1 1/2) cookies because 3÷2= 1.5
The answer is 2.5 years.
The compound interest formula is:
A = P(1 + r/n)ⁿˣ
A - the final value
P - the initial value
r - the interest rate
n - the number of times interest is compounded by year
t - the numbers of years of investment
We have:
A = $21,000
P = $15,000
r = 15% = 15/100 = 0.15
n = 1 (since this is per year)
t = ?
So:

Now, logarithm both sides of the equation:

Since

, then

Therefore: