Nick has 15 dimes. If he gives Sean one third of the dimes, he will have ___

Could someone help me arrange these pairs of points in increasing order of the slopes of the lines joining them. (15, 30) and (2

Zina [86]

Answer:

(e) (27, 2) and (243, 18)

(g) (63, 9) and (84, 12)

(d) (45, 15) and (60, 20)

(c) (27, 12) and (72, 32)

(a) (15, 30) and (20, 40)

(b) (12, 32) and (18, 48)

(f) (18, 63) and (24, 84)

Step-by-step explanation:

Required

Arrange in increasing order of slope

Slope (m) is calculated using:

$m = \frac{y_2 -y_1}{x_2 - x_1}$

So, we have:

(a) (15, 30) and (20, 40)

$m = \frac{40 -30}{20- 15}$

$m = \frac{10}{5}$

$m =2.00$

(b) (12, 32) and (18, 48)

$m = \frac{48 -32}{18- 12}$

$m = \frac{16}{6}$

$m = 2.67$

(c) (27, 12) and (72, 32)

$m = \frac{32-12}{72- 27}$

$m = \frac{20}{45}$

$m = 0.44$

(d) (45, 15) and (60, 20)

$m = \frac{20-15}{60- 45}$

$m = \frac{5}{15}$

$m = 0.33$

(e) (27, 2) and (243, 18)

$m = \frac{18-2}{243- 27}$

$m = \frac{16}{216}$

$m = 0.07$

(f) (18, 63) and (24, 84)

$m = \frac{84-63}{24- 18}$

$m = \frac{21}{6}$

$m = 3.50$

(g) (63, 9) and (84, 12)

$m = \frac{12 -9}{84- 63}$

$m = \frac{3}{21}$

$m = 0.14$

From least to greatest slope, the pair of points are:

(e) (27, 2) and (243, 18)

(g) (63, 9) and (84, 12)

(d) (45, 15) and (60, 20)

(c) (27, 12) and (72, 32)

(a) (15, 30) and (20, 40)

(b) (12, 32) and (18, 48)

(f) (18, 63) and (24, 84)

6 0

2 years ago

What must be true for lines a and b to be parallel lines? Check all that apply.

Dima020 [189]

Answer:

Option (1), (2) , (7) and (8) is correct.

Step-by-step explanation:

Given: a║b and d and c be transversal , We have to find the value of x and measure of angle 1 and 2.

Since, a║b and d be a transversal then ,

∠BXZ = ∠AZP = 58° ( corresponding angles )

Thus, m∠2 = 58°

∠BYC = ∠XYZ = (4X-10)° (vertically opposite angles)

Since, a║b and c be a transversal then,

∠XYZ = ∠QZU = (4X-10)° (Corresponding angles)

Thus, m∠1 = (4X-10)°

Also, Since, 'a' is a straight line.

Sum of angles on a straight line is 180°.

⇒ ∠PZA + ∠PZQ + ∠QZU = 180°

⇒ 58° +(3X-1)°+(4X-10)° = 180°

⇒ 58° + 7x - 11 = 180°

⇒ 47° + 7x = 180°

⇒ 7x = 180°- 47°

⇒ 7x = 133°

⇒ x = 19°

Put x = 19 in (3X-1)° and (4X-10)° , we get

(3X-1)° = (3(19)-1)° = 56°

(4X-10)° = (4(19)-10)°= 66

Thus, (3X-1)° ≠ (4X-10)°

Thus, option (1), (2) , (7) and (8) is correct.

5 0

2 years ago

Read 2 more answers

Britney is trying out for the track team along with 24 other people nine people were running distance seven people were there to

ivolga24 [154]

Answer:

The 6-minute half-mile time is continuous data; the number of people trying out for the team is discrete data.

Step-by-step explanation:

3 0

1 year ago

The function y = x + 7 is graphed in the coordinate plane. Which point will not be on the line?

kondor19780726 [428]

Plug in x-values and see which one has an incorrect y value.

(x, y)

x=0; y=0+7=7; CORRECT
x=2; y=2+7=9; INCORRECT
x=9; y=9+7=16; CORRECT
x=12; y=12+7=19; CORRECT

The point that is not on the online is (9, 16).

4 0

2 years ago

Rich is building a travel crate for his dog, Thomas, a beagle-mix who is about 28 inches long, 11 inches wide, and 24 inches tal

Dmitry [639]

Answer:

27600

Step-by-step explanation:

28 long +12 -->40

11 wide +12 --->23

24 tall +6--->30

v=40×23×30=27600 cubic inches

4 0

2 years ago

Read 2 more answers

Nick has 15 dimes. If he gives Sean one third of the dimes, he will have ____