25 points!! please answer
2 answers:
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Answer:
Length of diagonal is 18 m
Step-by-step explanation:
Given in trapezoid ABCD. AC is a diagonal and ∠ABC≅∠ACD. The lengths of the bases BC and AD are 12m and 27m. We have to find the length of AC.
Let the length of diagonal be x m
In ΔABC and ΔACD
∠ABC=∠ACD (∵Given)
∠ACB=∠CAD (∵Alternate angles)
By AA similarity theorem, ΔABC~ΔACD
∴ their corresponding sides are proportional
Comparing first two, we get
⇒
⇒
⇒
hence, the length of diagonal is 18 m
Answer:
A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20.
Step-by-step explanation:
Given that:
Charges of taxi 1 = $3.00 per mile
Charges of taxi 2 = $1.77 per kilometer
1 mile = 1.61 kilometers
To find:
Cost of a 12 miles ride for taxi 1 and taxi 2.
Solution:
Let us first convert the charges of each taxi to per mile.
Taxi 1 charges are already given in per mile.
Charges for 1 mile = $3
Charges for 12 miles = 3 12 = <em>$36</em>
Taxi 2 charges = 1.77 1.61 = $2.85 per mile
Charges for 12 miles = 2.85 12 = <em>$34.20</em>
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Therefore, the answer is:
<em>A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20.</em>