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3 years ago

The cost of 5 books is 71$ . What is the cost of each book

Mathematics

2 answers:

Goshia [24]3 years ago

5 0

$71 divided by 5 books will be $14.20

Alla [95]3 years ago

3 0

$14.20 is the cost of each book

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A circle has its center at (-1, 2) and a radius of 3 units. What is the equation of the circle?

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So the question or problem ask to find the equation of a circle which has a center of (-1,2) and a radius of 3 units. To get the equation of the circle, you must first follow the formula which is (x-h)^2 +(y-k)^2 = r^2. So the answer would be letter D. (x+1)2+(y-2)2=9. I hope you are satisfied with my answer

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snow_tiger [21]

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alekssr [168]

Answer:

Other Side (B) = 9.45 inches

Step-by-step explanation:

Given:

Hypotenuse = 10 inches

Other Side (A) = 3.25 inches

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Computation:

According to Pythagoras theorem:

$Hypotenuse^2= (Perpendicular)^2+(Base)^2\\\\Hypotenuse^2= (A)^2+(B)^2\\\\10^2= (3.25)^2+(B)^2\\\\100=10.5625 +(B)^2\\\\89.4375 = (B)^2\\\\B=\sqrt{89.4375}\\\\B=9.4571$

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3 years ago

Choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.

Ber [7]

Answer:

Option D.

LA Theorem or Postulates

Explanation:

LA theorem or postulates is leg-acute states that if the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.

In $\triangle ACB$ and $\triangle DFC$

$\angle C =\angle F = 90^{\circ}$ [Given]

$\angle B = \angle E$ [Acute angle] [Given]

$BC=EF$ [Given]

By LA theorems or postulates,

$\triangle ACB \cong \triangle DFE$

Therefore, LA theorems or postulates support the conclusion that the triangles are congruent.

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2 years ago

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