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melamori03 [73]
3 years ago
15

Given that AC and BD are chords, apply the Intersecting Chord Theorem to set up an equation and solve for x.

Mathematics
1 answer:
Mamont248 [21]3 years ago
3 0
The answer is c) 5.
<span>
(x − 2)x = 8(x − </span><span>258</span>)
x2<span> − 2x = 8x − 25</span>
x2<span> − 10x + 25 = 0</span>
(x − 5)(x − 5) = 0
<span>x = 5</span>
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HELPPP
GalinKa [24]

Answer:

HL (Hypotenuse Leg)

Step-by-step explanation:

You have BC=CD (Because of reflexive property), AC=DC, and measure of BAC is equal to the measure of BDC, which is 90 degrees. Since these triangles are right and they have a hypotenuse and a leg congruent, you can say that they are congruent because of HL.

4 0
2 years ago
Determine whether the geometric series 27 + 18 + 12 + 8 + ... converges or diverges, and identify the sum if it exists.
Ne4ueva [31]

The given geometric series as shown in the question is seen to; Be converging with its' sum as 81

<h3>How to identify a converging or diverging series?</h3>

We are given the geometric series;

27 + 18 + 12 + 8 + ...

Now, we see that;

First term; a₀ = 27

Second Term; a₁ = 2(27/3)

Third term; a₂ = 2²(27/3²)

Fourth term; a₃ = 2³(27/3³)

Thus, the formula is;

2ⁿ(27/3ⁿ)

Applying limits at infinity gives;

2^(∞) * (27/3^(∞)) = 0

Since the  terms of the series tend to zero, we can affirm that the series converges.

The sum of an infinite converging series is:

S_n = a/(1 - r)

S_n = 27/(1 - (2/3)

S_n = 81

Read more about converging or diverging series at; brainly.com/question/15415793

#SPJ1

6 0
1 year ago
Bobby catches 8 passes in 3 football games. At this rate how many passes dose he catch in 15 games?expine
stepan [7]

Answer: 40

Step-by-step explanation:

I can see the answer is 40, but let's try to figure out how to do it.

I like to use the rule of 3. Let's put the number of passes on the left side and the number of games on the right side.

\frac{8}{x}=\frac{3}{15}

''x'' represents the number of passes in 15 games.

Solve for x;

x=\frac{15*8}{3}\\ x=\frac{120}{3}\\ x=40

8 0
3 years ago
On a boat, a cabin's window is in the shape of an isosceles trapezoid, as shown below. What is the area of the window?
kramer

Answer:

63 m²

Step-by-step explanation:

The diagram shows a parallelogram.

Area

= 9 x 7

= 63 m²

7 0
3 years ago
Whats A O E in the diagram for A O C
Orlov [11]

Answer:

where is the picture or graph

or something

Step-by-step explanation:

8 0
2 years ago
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