Answer:
c = 9
Step-by-step explanation:
2(3c+6)+7−5×1+2−1+9c=69+4c+5c
Add 12 and 7 to get 19.
6c+19−5×1+2−1+9c=69+4c+5c
Multiply 5 and 1 to get 5.
6c+19−5+2−1+9c=69+4c+5c
Subtract 5 from 19 to get 14.
6c+14+2−1+9c=69+4c+5c
Add 14 and 2 to get 16.
6c+16−1+9c=69+4c+5c
Subtract 1 from 16 to get 15.
6c+15+9c=69+4c+5c
Combine 6c and 9c to get 15c.
15c+15=69+4c+5c
Combine 4c and 5c to get 9c.
15c+15=69+9c
Subtract 9c from both sides.
15c+15−9c=69
Combine 15c and −9c to get 6c.
6c+15=69
Subtract 15 from both sides.
6c=69−15
Subtract 15 from 69 to get 54.
6c=54
Divide both sides by 6.
c = 54/6
Divide :)
c = 9
1a. 5/10 can be simplified to 1/2. (5 divided by 5 is one, 10 divided by 5 is 2.)
1b. 9/12 can be simplified to 3/4. (9 divided by 3 is 3, 12 divided by 3 is 4.)
1c. 12/18 can be simplified to 2/3. (12 divided by 6 is 2, 18 divided by 6 is 3.)
1d. 9/24 can be simplified to 3/8. (9 divided by 3 is 3, 24 divided by 3 is 8.)
1e. 27/90 can be simplified to 3/10. (27 divided by 9 is 3, 90 divided by 9 is 10.)
1f. 40/48 can be simplified to 5/6. (40 divided by 8 is 5, 48 divided by 8 is 6.)
Answer:1800
Step-by-step explanation: Do parentheses first, then multiply by 10^2 which is 100. Hope this helps!
Applying the intersecting secants theorem, the length of PD is: 6.
<h3>What is the Intersecting Secants Theorem?</h3>
The intersecting secants theorem states that if two secants intersect at a point outside a circle, then the product of the external secant secgent and the secant segment equals that of the other.
Given the following:
- AB = 5
- BP = 7
- CP = 14
- PD = ?
Based on the intersecting secants theorem, we would have:
AP × BP = CP × PD
Substitute
12 × 7 = 14 × PD
84 = 14(PD)
84/14 = PD
6 = PD
PD = 6
Therefore, applying the intersecting secants theorem, the length of PD is: 6.
Learn more about the intersecting secants theorem on:
brainly.com/question/15392507
