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Ipatiy [6.2K]
3 years ago
14

What is the 8th term of this sequence 2,8,18,36,66, 112,178

Mathematics
1 answer:
hjlf3 years ago
6 0
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In circle D, angle ADC measures (7x + 2)°. Arc AC
Akimi4 [234]

Answer:

The measure of angle ABC is 36° ⇒ 1st answer

Step-by-step explanation:

Let us revise some important facts in the circle

The measure of the center angle is equal to the measure of its subtended arc

The measure of the inscribed angle is equal to half the measure of the central angle subtended by the same arc

The vertex of a central angle is the center of the circle and its sides are radii in the circle

The vertex of an inscribed angle is a point on the circle, and its sides are chords in the circle

In circle D

∵ D is the center of the circle

∵ A and C lie on the circle

- DA and DC are radii

∴ ∠ADC is a central angle subtended by arc AC

∴ m∠ADC = m of arc AC

∵ m∠ADC = (7x + 2)°

∵ m of arc AC = (8x - 8)°

- Equate them to find x

∴ 8x - 8 = 7x + 2

- subtract 7x from both sides

∴ x - 8 = 2

- Add 8 to both sides

∴ x = 10

Substitute the value of x in the measure of ∠ADC

∵ m∠ADC = 7(10) + 2 = 70 + 2

∴ m∠ADC = 72°

∵ AB and BC are two chords in circle D

∴ ∠ABC is an inscribed angle subtended by arc AC

∵ ∠ADC is a central angle subtended by arc AC

- By using the 2nd fact above

∴ m∠ABC =  m∠ADC

∴ m∠ABC =  × 72

∴ m∠ABC = 36°

7 0
3 years ago
Duncan cycled from Town A to Town B at a speed of 12 km/h. He took 3 hours to cover of the trip. Find the distance between the t
madam [21]
If he travels 12km/h for 3 hours then he went 36km in 3hr. The answer is 36km.

5 0
3 years ago
Read 2 more answers
The following data values represent a population. What is the variance of the values? 7, 5, 11, 1, 11
MaRussiya [10]
The mean is 35/5=7

The variance is the average of the sum of squared differences of each element from the mean:

v=((7-7)^2+(5-7)^2+(11-7)^2+(1-7)^2+(11-7)^2)/5

v=(0+4+16+36+16)/5

v=14.4
3 0
3 years ago
Read 2 more answers
This is for my friend so if you could solve this asap that would be great
Yuliya22 [10]

Answer:

1. 5x^2 − 3x − 2

2. 4s^2 −28s + 49

3. 4y^2 + 9y + 8

8 0
3 years ago
Read 2 more answers
What is the slope ? M=
frez [133]

Answer:

-3/2

Step-by-step explanation:

The slope is found by

m = ( y2-y1)/(x2-x1)

Using the points (-4,11) and ( 0,5)

m = ( 11-5)/( -4-0)

  = 6/-4

  = -3/2

4 0
3 years ago
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