The answer is b ............
Answer:
33°
Step-by-step explanation:
Where a transversal crosses parallel lines at right angles, all of the angles at their points of intersection are right angles.
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Angles at U are right angles, congruent to ∠UXZ. So, acute angle UXW in right triangle UXW is the complement of acute angle UWX:
∠UXW = 90° -57° = 33°
The idea is to find a linear combination a_1(5, -6) + a_2(-2, -2) = (-6, 2)
It boils down to a system of equations:
Take the augmented matrix:
<span>[<span><span>5<span>−6</span></span><span><span>−2</span><span>−2</span></span><span><span>−6</span>2</span></span>]</span>
Reduced form:
<span>[<span><span>10</span><span>01</span><span><span>−<span>811</span></span><span>1311</span></span></span>]</span>
-(8/11)*(5, -6) + (13/11)*(-2, -2) = (-6, 2)
Answer: one gallon jug of water cost’s $3.68
