Answer:
It is 63
Step-by-step explanation:
The sum of the measures of the interior angles of a triangle in Euclidean space is always 180 degrees.
94+ 23=117
180-117=63
Answer:
This is the even numbers out of 100. So Do every other one so in you case 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30.And all them problem you do add up to 15 total of what you completed( why they said there will only be 15 problems AKA the ones you solve)
Step-by-step explanation:
Hope this helps :)
Answer:
There is obviously only 1 10x10 square. If we start with a 9x9 square in the top left corner, we can move it down 1, across 1 and back up 1, so there are 4 possible 9x9 squares.
For 8x8 we can move down 1, then 2 and we can move across 1 or 2 so that's 9 possible 8x8 squares.
For 7x7 we can go down 3 and across 3, so that's 4x4=16 possible squares.
The pattern is now clear the total number if squares is 1+4+9+16+…+100.
There's a formula for this, which I had to look up, but any the sum of the first n squared is 1/6n(n+1)(2n+1)1/6n(n+1)(2n+1), so the total number of squares is 10x11x21/6=5x11x7=385.
<h3>
First Method:</h3>
<u>Using cosine rule</u>:




<h3>
Second Method:</h3>
<u>First find XY using sine rule</u>:



Then use Pythagoras Theorem:
⇒ XY² + YZ² = XZ²
⇒ (6)² + YZ² = 12²
⇒ YZ² = 144 - 36
⇒ YZ = √108
⇒ YZ = 6√3
⇒ YZ = 10.4