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Vikentia [17]
4 years ago
12

Points C and D lie on circle O as shown below. If OC = 6x+2 and OD = 10x -16, then find the length of the radius of circle O.

Mathematics
1 answer:
Ket [755]4 years ago
3 0
Radius = OC = OD

Solve for x:

10x -16 = 6x+2

4x = 18

x = 9/2 = 4.5

Sub 'x' back into OC

OC = 6(4.5) + 2 = 29

Radius = 29
You might be interested in
Two consecutive perfect squares have a difference of $99$. what is the value of the larger perfect square?
Fofino [41]

Answer:

2500

Step-by-step explanation:

Let the first square number be x^2 then the next square number is (x+1)^2.

The difference between these two consecutive numbers is 99.

This implies that:

(x+1)^2-x^2=99

We expand to get:

x^2+2x+1-x^2=99

Simplify:

2x=99-1

2x=98

Divide both sides by 2

x=49

Therefore the value of the larger perfect number is

(49+1)^2=50^2=2500.

6 0
3 years ago
Which one is correct? Please hurry <3
Phoenix [80]

Answer:

$4.59

Step-by-step explanation:

20 - 1.20 - 5.03 = 13.77

13.77/3 = 4.59

4 0
3 years ago
DUE ASAP PLZ HELP (brainliest if you get it right)
sammy [17]

here's the right answer!

A)  76 + 80 + 78 + x = 82 times 4

234 + x = 328

x = 94

B) Mei needs a score of at least 94 on the next exam.

hope you have a good day

4 0
3 years ago
What is 3t - 8 = 8t + 12 ​
timama [110]
So you want to get t onto the right side so what you would do is subtract 8t from each side and add 8 to each side

-5t=20

Divide each side by -5

t= -4
6 0
4 years ago
Read 2 more answers
Circle P is divided into four central angles by the diameters AC and BD.
Vanyuwa [196]

Answer:

m∠CPD = 129.75°

Step-by-step explanation:

m∠APD + m∠APB = 180 since the angles are supplementary

x + 1 + 3x - 18 = 180

4x - 17 = 180

4x = 197

x = 49.25

m∠APB = 3(49.25) - 18 = 129.75

m∠APB = m∠CPD because the angles are vertical angles

m∠CPD = 129.75°

8 0
3 years ago
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