A clothing store sold 4 times as many sweaters as coats. The difference in the sales was 300. How many of each were sold?
1 answer:
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Answer:
perpendicular
Step-by-step explanation:
The first equation can be written in slope-intercept form as ...
y = -1/2x - 3
In this form, we see that the slopes of the two lines are -1/2 and 2, so the product of their slopes is -1. That means the lines are perpendicular.
Answer:
x = 7.5
Step-by-step explanation:
We first labelled the diagram we get
DC = 8
AD = 10
CE = 6
BE = x
∴ AC =AD + DC = 18
∴ BC = BE + ED = x + 6
To Find :
BE = x =?
Solution:
Let DE || AC
In Δ ABC and Δ DEC
∠A ≅ ∠D …………..{corresponding angles ∵ DE || AB }
∠B ≅ ∠E ..............{corresponding angles ∵ DE || AB }
∠C ≅ ∠C ……….....{Reflexive Property}
Δ ABC ~ Δ DEC ….{Angle-Angle-Angle Similarity test}
If two triangles are similar then their sites are in proportion.
On substituting the given values we get
∴
