Answer:
48
Step-by-step explanation:
Hi!
Remember, the sum of the angles on a straight angle is 180 degrees. Additionally, the sum of the measures of a triangle are 180 degrees.
Now, let's label the angles of the given triangle.
<DCE = y and <CDE=x
x+y+92=180
x+y= 88
Now, y+140 = 180 --> y= 40
x+40 = 88
x=48
The answer is 48 degrees.
Hope this is correct! Have a good day!
Okay,
so first you gotta know that cos(90-x) is equal to sinx and sin(90-x) is equal to cosx!!
Now all you gotta do is replace the cos(90-x) to sinx in the numerator and sin(90-x) to cosx in the denomenator inorder to make the numerator all into sin and denomenator all into cos.
After that, open up the brackets and solve...
At the end you'll hopefully get something like this :( 1+sin90 ÷ 1+cos90 )
And since sin90 is 1 (put it in the calculator!) and cos90 is 0, you'll get 2÷1 which is equals to 2!!
Hope this helped! :)
The answer is B its quite easy if you look at it
It'd be easier to do #18 if y ou were to break it up:
14* (first term + 14th term)
Sum from n=1 to 14 of n = S = ---------------------------------
14 2
14(1+14)
= ---------------- = 7(15) = 105
2
The sum of twice that is 210. The sum of "1 from n=1 to n=14" is just 14.
The final sum is 210 + 14 = 224 (answer)
