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kondor19780726 [428]
3 years ago
7

Question 5 of 6

Mathematics
1 answer:
Dmitry [639]3 years ago
3 0

Answer:

B. 13 small bags and 12 large bags

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of small bags.

y is the number of large bags.

The Tuesday morning delivery consists of 25 bags

This means that x + y = 25, that is y = 25 - x

Bunyan Farm sells 3 pound and 5 pound bags of onions. Total of 99 pounds.

This means that 3x + 5y = 99

Since y = 25 - x

3x + 5(25 - x) = 99

3x + 125 - 5x = 99

-2x = -26

2x = 26

x = \frac{26}{2}

x = 13

y = 25 - x = 25 - 13 = 12

So 13 small bags and 12 large bags.

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Anastasy [175]

Answer:

m∠EBC=65° 15' and AC=20in

Step-by-step explanation:

Given:

AB≅BC

AE=10in\\m\angle FEC=90\\m\angle ABC=130\°30'

From the given Data, we can conclude the following:

1. Since two sides of the triangle ABC are congruent, therefore its an isosceles triangle.

2. m\angle FEC=90°. This shows that the line BE is perpendicular to AC. By property of isosceles triangle, the line which passes from the vertex of the largest angle of triangle and cuts the opposite side(base) perpendicularly is the perpendicular bisector of the side and angle bisector of the angle.

∴  m\angle EBA\ ≅m\angle EBC    [ Definition of Angle bisector]

m\angle ABC=130\°30'

m\angle EBC=\frac{m\angle ABC}{2}=\frac{130\°30'}{2}=65\°15'

m\angle EBC=65\°15'

∴AE=EC       [ Definition of perpendicular bisector]

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