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3 years ago

9

Consider the diagram below, CD is tangent to circle A at point B. EB bisects triangle ABC. Select all of the statements that are

true about the diagram.

1 answer:

kolbaska11 [484]3 years ago

5 0

Answer:

<em>m∠ABC = 90° , m∠ABE = 30° , m∠EBC= 45°</em>

Step-by-step explanation:

If I were to remember correctly;

m∠ABC = 90°

m∠ABE = 30°

m∠EBC= 45°

Hope you're doing alright during the quarantine. Best of luck!

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Can somebody help me? anybody know the answer

tigry1 [53]

Answer:

25 = c

Step-by-step explanation:

You had a good start on filling in the values in the Pythagorean Theorem. The work needed to be finished.

$a^2 +b^2 = c^2\\\\20^2 +15^2=c^2\\\\400+225=c^2\\\\625=c^2\\\\\sqrt{625}=\sqrt{c^2}\\\\\boxed{25=c}$

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2 years ago

Three numbers are in the ratio 3:9:10. If 10 is added to the last number, then the three numbers form an arithmetic progression.

MrRa [10]

Answer:

<em> The numbers are 6, 18, and 30 </em>

Step-by-step explanation:

If the three numbers are in the ratio of 3:9:10,

let the numbers be 3x, 9x and 10x.

<em>If 10 is added to the last number to form an arithmetic progression</em>

<em>Then, 3x 9x (10x+10) are the progression</em>

The common difference of an arithmetic progression (d) = T₂ - T₁ = T₃ - T₂

T₂-T₁ = T₃ - T₂ .............. Equation 1

Where T₁ = first term of the progression, T₂ = Second term of the progression, T₃ = third term of the progression

<em>Given: T₁ = 3x, T₂ = 9x, T₃ = 10x +10</em>

<em>Substituting these values into equation 1</em>

<em>9x-3x = (10x+10)-9x</em>

<em>Solving the equation above,</em>

<em>3x = 10+x</em>

<em>3x-x = 10</em>

<em>2x = 10</em>

<em>x = 10/2</em>

<em>x = 2.</em>

<em>Therefore the numbers are 6, 18, and 30 </em>

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4 years ago

The length of a rectangle is 1 ft less than double the width, and the area of the rectangle is 21 ft^2. Find the dimensions of t

ICE Princess25 [194]

Let the width be w, then length = 2w - 1

Area = length times width = w(2w - 1) = 21.

Thus, 2w^2 - w = 21 or 2w^2 - w - 21 = 0

Solving the quadratic equation gives that w = 3.5.

Therefore, width is 3.5 ft and length is 2(3.5) - 1 = 6 ft.

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3 years ago

Someone please help.

olga55 [171]

Answer:

Step-by-step explanation:

It's solved by grafic method

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3 years ago

Which choice best describes the following sentence?

Wittaler [7]

Answer:

The choice that best describes the given sentence above is, it is a complete and correct sentence. What makes this sentence complete is having both the subject and the verb in a simple form, and still expresses a complete thought. The verb and simple predicate "volunteered" is enough to describe the subject "Cassidy".

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3 years ago