Answer:
112
Step-by-step explanation:
So, we know that a triangle's sides must add up to have a sum of 180. If you add up your given lengths and you should get 47, not including x. Then if you look at the left side/the one without a given length and it should be identical to the 21, so you know that side is 21. So now add 21 to 47, you should get 68. Finally, you subtract 68 from 180 like this: 180-68, and it should equal 112. So you're answer is 112.
<h2>
Answer: a = ¹/₂ (4 + b)</h2>
<h3>
Step-by-step explanation:</h3>
To solve for 'a' we have to make it the subject of the equation. Since there are two unknowns ('a' & 'b'), we won't get a numerical value of 'a', but an expression in terms of the second unknown 'b'.
Since 2a - b = 4 <em> [add 'b' to both sides]</em>
then 2a = 4 + b <em>[divide both sides by 2 = multiplying by ¹/₂]</em>
a = ¹/₂ (4 + b)
A^2 + b^2 = c^2 fill in the know numbers a=4 b=10
$^2 +10^2 = 116
now find the square root of that its
c is approx 10.8
She can only make 2 trail mixes
Answer:
x = 2
Step-by-step explanation:
Since this is a 45-45-90 triangle, the 2 legs will be the same, meaning that y will also be 
.
We can then solve for x using the Pythagorean theorem:
Or, we could use a quicker approach: if the triangle is a 45-45-90 triangle, the hypotenuse will be times the length of 1 leg. It essentially does the same thing; it's just faster so you could save time on tests.
