B)
1 answer:
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Answer:
One-fifth
Step-by-step explanation:
step 1
Find the distance between the origin and the point B
the formula to calculate the distance between two points is equal to
we have
O (0,0) and B(10, –15)
substitute
step 2
Find the distance between the origin and the point B'
the formula to calculate the distance between two points is equal to
we have
O (0,0) and B'(2,-3)
substitute
step 3
Find the scale factor of the dilation
The scale factor is equal to divide the length of segment OB' by the length of segment OB
so
so
One-fifth
Answer: ∠1 = 109° ∠2 = 71°
<u>Step-by-step explanation:</u>
If the two angles form a linear pair, then their sum is 180°
∠1 + ∠2 = 180°
(5x + 9) + (3x + 11) = 180
8x + 20 = 180
8x = 160
x = 20
∠1 = 5x + 9
= 5(20) + 9
= 100 + 9
= 109
∠2 = 3x + 11
= 3(20) + 11
= 60 + 11
= 71
<u> CHECK:</u>
∠1 + ∠2 = 180°
109° + 71° = 180°
180° = 180°