Mathematics, 15.04.2020 05:38 abolton04

I need help.Which values are possible lengths for segments AC and CD, respectively?

I need help.....Which values are possible lengths for segments AC and CD, respectively?

Answers: 3

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Answer from: khalidalrasheedi2025

Given:

Given that R is a circle.

The length of BC is 5 units.

The length of CE is 12 units.

We need to determine the lengths of AC and CD.

Length of the chord AD:

The lengths of the segments AC and CD can be determined using the intersecting chords theorem.

Applying the theorem, we have;

$AC \cdot CD=BC \cdot CE$

Substituting the values, we have;

$AC \cdot CD=5 \times 12$

$AC \cdot CD=60$

Hence, when multiplying the two segments AC and CD, we get 60 units.

Thus, the length of the chord AD is 60 units.

Option F: 6 and 10

The possible lengths of AC and CD can be determined by multiplying the two segments.

Thus, we have;

$AD=AC \cdot CD$

Substituting the values, we have;

$60=6 \times 10$

60=60

Thus, the possible lengths of AC and CD are 6 and 10 respectively.

Hence, Option F is the correct answer.

Option G: 8 and 9

Similarly, we have;

$AD=AC \cdot CD$

Substituting the values, we have;

$60=8 \times 9$

$60 \neq 72$

Since, both sides of the equation are not equal, Option G is not the correct answer.

Option H: 7 and 14

Similarly, we have;

$AD=AC \cdot CD$

Substituting the values, we have;

$60=7 \times 14$

$60 \neq 98$

Since, both sides of the equation are not equal, Option H is not the correct answer.

Option J: 12 and 13

Similarly, we have;

$AD=AC \cdot CD$

Substituting the values, we have;

$60=12 \times 13$

$60 \neq 156$

Since, both sides of the equation are not equal, Option J is not the correct answer.

Therefore, the possible lengths for segments AC and CD are 6 and 10 respectively.

Hence, Option F is the correct answer.

Answer from: nakeytrag

F) 6 and 10

Step-by-step explanation:

AC > BC

AC > 5

CD < CE

CD < 1

Also,

AC × CD = BC × CE

AC × CD = 5 × 12 = 60

6 × 10 = 60

Answer from: Quest

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book= $x+184$

hence, there are x+184 pages in olivia's book.

Answer from: Quest

50- 250 is correct i did that one too

step-by-step explanation:

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