<em>only the last figure (i.e figure e) is shaded </em>
The shaded region is a triangle
Area of a triangle
= ½ × b × h
= ½ × 14 × 5
= ½ × 70
= 35yd²
Answer:
155°
Step-by-step explanation:
The obtuse angle of the large (outside) triangle is the supplement of 60°, so is ...
180° -60° = 120°
The angle x is the sum of the remote interior angles of that large triangle:
x = 35° +120° = 155°
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<em>Check</em>
The other acute angle in the smaller (left) right triangle is 90° -35° = 55°. Then the top acute angle in the larger (bottom, right) right triangle is ...
180° -55° -60° = 65°
The other acute angle in that triangle is 90° -65° = 25°. It is supplementary to angle x. Hence angle x is 180° -25° = 155°, as above. (Note that x is also the sum of 90° and 65°, the remote interior angles of the nearest right triangle to x.)
Line r is twice line m. i.e. r = 2s which means that they are linearly dependent.
Therefore there are infinitely many solution to the given set of equations.
Answer:
450 miles , $90.5
Step-by-step explanation:
Let d be the miles driven
59 + 0.07d = 50 + 0.09d
d = 450
The two plans cost the same when he drives for 450 miles which the respective cost is 59 + 0.07(450) = $90.5
