The interior angles of any triangle must add up to 180° in measure. Right angles have measure 90°, so the missing angles in both triangles here have measure 45°.
In a 45°-45°-90° triangle, the legs and hypotenuse occur in a ratio of 1 : √2. This means
(1) <em>x</em> = 48 √2
(2) 88 = √2 <em>x</em> → <em>x</em> = 88 / √2 = 44 √2
You could also set up trigonometric equations to solve for <em>x</em> in each case:
(1) cos(45°) = 48 / <em>x</em> → <em>x</em> = 48 / cos(45°) = 48 / (1 / √2) = 48 √2
(2) cos(45°) = <em>x</em> / 88 → <em>x</em> = 88 cos(45°) = 88 (1 / √2) = 44 √2
Let A = {1, 2, 3, 4,}, B = {3, 4, 5, 6, 7}, and C = {2, 3, 5, 7} Find: B∩C
natka813 [3]
The notation
means "B intersect C" telling you to look at the intersecting, or overlapping, region of the Venn Diagram. This is where the common values that are found in BOTH set B and set C.
The values {3, 5, 7} are in both set B and set C.
So that is why
I think it might be B sorry
Angle 45
Because it could be 45,45,90