Because HI and JK are parallel, that makes their angles congruent. So angle K equals angle I
So the interior angles of a triangle add up to 180°
So, Angle I + angle H + angle x =180°
60°+56°+x°=180°
116°+x°=180°
X=180-116
X=64°
Answer:
y = - 13, y = 13
Step-by-step explanation:
Given
y² = 169 ( take the square root of both sides )
y = ±
= ± 13
Since 13 × 13 = 169 and - 13 × - 13 = 169
$48.75
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Answer:
Step-by-step explanation:
If we let x and y represent the costs of a lamp and end table, respectively, the two purchases can be written as ...
3x +2y = 520
2x -y = 20
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These equations can be solved many ways. If we use "elimination", we can add twice the second equation to the first to eliminate y:
(3x +2y) +2(2x -y) = (520) +2(20)
7x = 560 . . . . simplify
x = 80 . . . . . . divide by 7
y = 2x -20 = 2(80) -20 = 140
The cost of a lamp is $80; the cost of an end table is $140.