Please help guys I'm frustrated with this

OL is perpendicular to ON, which means that there is a 90 degree angle being created between these two line segments. So, angle LON is equal to 90 degrees. Because LON is a 90 degree angle and we have two angles within it, those two angles are complimentary. We can add LOM and MON together and they will equal 90 degrees.

3x - 15 + 5x - 23 = 90

8x - 38 = 90

8x = 128

x = 16 degrees

Angle MON = 5x - 23

5(16) - 23 = 57 degrees

Angle MON = 57 degrees

Hope this helps!! :)

LOM 3x-15  Lets say x is 15 = 3x

3x= 45-15 = 30

MON, therefore 5x-23= 75-23=52

It is a right angle we want 8 more divided by 3+5=8/8

Lets say x is now 16

LOM 3x= 48  48-15 = 33  

MON 5x -23= 80 = 80-23= 57

Both angles add up to 90 degree making the right angle.

Step-by-step explanation:

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for