Logarhythm

I'm pretty sure the theorem is called "same side consecutive angle theorem" or something like that but basically the other side of the "x" and 65 degrees is 180 - 120.

x = 180 - (180 - 120) - 65

   = 180 - 60 - 65

   = 120 - 65

   = 55^o 

√1260 ≈ 35.5

35 * 36 = 1260, which is your answer :)

p.s. -36 and -35 also works 

The only terms that will make "z" and add them up:
 

(-7z)(6) + (4)(-z)

= -42z - 4z

= -46z, which means -46 is your answer :)

I might be biased since I've only ever really done Kumon and Mathnasium as a child and those aren't the best options if you want in depth and higher level difficulty, but I've been doing spirit of math for a while now and I think it's a really good program and that you should consider taking it? They have courses from kindergarten to 11, 11 being equivalent to about a first year or second year university math course (according to their website) and I think they have really good problems (lots of experience just from doing these problems) and teach you really useful skills.

I wish this was sponsered but it isn't lol

tl;dr Spirit of math offers good courses (right know it's online but if there wasn't a pandemic it's in person) and all you need is like a B in all subjects or something like that to get in. Good topics + experience. There are grades but they don't matter :)

To find the other angle, we can see that 148 is supplementary to 32. 

Since the total angle in a triangle is 180, we can find h:
h = 180 - 32 - 56 = 92^o

By pythagoras' theorem:
Height = √(9² - 6²)

           = √45

           ≈ 6.7

\(sin(120) = \frac{\sqrt{3}}{2}\)

Let x = side DE

\(Tan(25) = \frac{9}{x} \)

\(\frac{9}{x} ≈ 0.466 \)

\(x ≈ \frac{9}{0.466}\)

\(x ≈ 19.3\)

Split this figure into rectangles:
Area = 2 * 7 * 3 + 3 * 5 

         = 14 * 3 + 15

         = 42 + 15

         = 57 m²

Volume = 6²π(26) - (2.1)²π(26)

             = 26(36π - 4.41π)

             = 26(31.59π)

             = 821.34π cm³

6C2 = 15 pairings. This happens twice though so it's 15 * 2 = 30 matches in one division

Then you need to do the other division, which means you have 30 * 2 = 60 games.

Then there are 6 * 6 games between the two divisions which means your total is 60 + 6 * 6 = 60 + 36 = 96 conference games

Area of the figure = 5 x 4 + 2 x (3 + 4 + 3)

                             = 20 + 2 x 10

                             = 20 + 20

                             = 40 cm²

x + 2x = 90

3x = 90

x = 30

The angle is 60

Bagels cost $1.25 = 125 cents

Cupcakes cost 50 cents

i) Two bagels cost 125 x 2 = 250 cents, or $2.50

ii) Two cupcakes cost 50 x 2 = 100 cents, or $1.00

iii) Bagels cost 125 - 50 = 75 cents more than cupcakes :)

Thank you!

I got 2268a base 11 digits... I'm not sure how you calculated it but I used Melody's answer as a guide and this is what I got? 

Excuse the handwriting :)

Excuse the handwriting :)

Excuse the handwriting..