A!
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Given: Triangle JKL is dilated from the origin at a scale factor of 10 to create triangle J′K′L′.
Required: Correct option that complete the statement.
Explanation:
Now, triangle is dilated from the origin at a scale factor of 10.
So, the sides will become larger, but angles will remain the same.
Hence, the triangles will be similar as sides will be in proption (SSS rule).
So, The triangles are similar because their corresponding sides are proptional and their corresponding angles are congurent.
Final Answer: Second group is correct answer.
Divide top and bottom by four.
6/7 is the answer
Answer:
HI
Step-by-step explanation:
The quantity of each type of seats sold are as follows:
- Movie and a dinner seat = 200
According to the question,there are four times as many 3D, x seats as Dinner and a Movie, y seats.
That is, x = 4y
Also, total seats
= (x) + (y) + (z) = 3000...….............eqn(1)
Also, If the theater brings in $53,000 when tickets to all 3000 seats are sold.
- 20x + 35y + 15z = 53000...........eqn(2)
By substituting 4y for x in equations 1 and 2; we have;
<em>5y + z = 3000</em>..…........eqn(3) and
<em>115y + 15z = 53000</em>.........eqn(4)
By solving equations 3 and 4 simultaneously; we have;
y = 200 and z = 2000
and since x = 4y
x = 800
The quantity of each type of seats sold is as follows:
- Movie and a dinner seat = 200
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