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Free_Kalibri [48]
4 years ago
15

PLEASE HELP FASTTTT THANKS

Mathematics
1 answer:
bearhunter [10]4 years ago
5 0

The answer is [ 1/2; reduction ]

The length of the large square is 4 units.

The length of the small square is 2 units.

Divide to find the scale factor:

2 / 4 = 2/4 = 1/2

Since the larger square turns into a smaller square, it is a reduction.

This proves that Option B is correct.

Best of Luck!

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Given: ABCD is a trapezoid, AC ⊥ CD AB = CD, AC=the square root of 75 , AB = 5 Find: AABCD
Ugo [173]

In this attached picture according to the conditions of the problem we have an isosceles trapezoid and since we know that legs are equal (AD=BC=5 cm), we have to calculate bases and height in order to find the area. Working with the triangle BCD, we apply Pythagoras theorem and find that CD = \sqrt{75+25} = 10 cm. Since BDC is a right triangle, applying theorem for the area of triangles, we find that \frac{1}{2} * BF =  \frac{1}{2} * 5 * \sqrt{75} and BF= 0.5\sqrt{75}. Since ABCD is an isosceles trapezoid, triangles ADE and BFC are congruent with Angle Side Angle theorem. Then, DE=FC and with the help of Pythagoras theorem, DE=FC=2.5 cm. Then, AB=EF=5 cm and the area of the trapezoid is  A= BF *  \frac{AB+CD}{2} = 0.5  \sqrt{75}  * \frac{5+10}{2} = 18.75 \sqrt{3}   cm^{2}

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3 years ago
A movie theater has a seating capacity of 333. The theater charges $5.00 for children, $7.00 for students,
pantera1 [17]

Answer:

182 children, 91 adults, 60 students

Step-by-step explanation:

The quantity of adults is x, then the quantity of children are 2x,  the quantity of students is 333-x-2x=333-3x. The charge from all adults is 12x, students gave 7*(333-3x), children gave 5*2x=10x, the sum of all money is 2422

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