Look at the picture
1 answer:
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*see attachement for the triangles given
Answer:
PQ = 6.8
Step-by-step explanation:
Corresponding sides of similar shapes or figures are proportional to each other. Since ∆LMN ~ ∆OPQ, the ratio of their corresponding sides would therefore be equal. Thus:
LN/OQ = MN/PQ
LN = 5
OQ = 17
MN = 2
PQ = ?
Plug in the values
5/17 = 2/PQ
Cross multiply
5*PQ = 2*17
5*PQ = 34
PQ = 34/5
PQ = 6.8
Answer:
Theresa's height is 60 inches
Step-by-step explanation:
The given parameters are;
The height of Paul = The height of Steve
Paul's height = times Theresa's height - 16 inches
Steve's height = times Theresa's height - 6 inches
Let 'T' represents Theresa's height, we have;
Paul's height = ×T - 16
Steve's height = ×T - 6
Paul's height = Steve's height
Therefore;
×T - 16 =
×T - 6
×T -
×T = 10
×T -
×T = 10
×T = 10
T = 10 × 6 = 60
Theresa's height, T = 60 inches