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Anton [14]
3 years ago
12

What is the slope of the line that contains the point (2,6) and (3,10)?

Mathematics
1 answer:
irina1246 [14]3 years ago
7 0
Work:

Slope: m= y1-y2/x1-x2
Points: (2,6) & (3,10)

m= 6-10/2-3
m= -4/-1
m= 4

The slope of the line that contains the point (2,6) and (3,10) is 4.
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In the figure,(p)parallel(q) and (r)pparallel(s). Match each pair of congruent angles with the reason for their congruency.
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Corresponding angles for parallel lines p and q cut by transversal s. Corresponding angles are congruent angles. 
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Corresponding angles for parallel lines p and q cut by transversal r. Corresponding angles are congruent angles. 
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Linear pair theorem. These 2 angles are equal to 180°
∠1 + ∠2 = 180
∠3 + ∠4 = 180
∠9 + ∠10 = 180
∠11 + ∠12 = 180
∠5 + ∠6 = 180
∠7 + ∠8 = 180
∠13 + ∠14 = 180
∠15 + ∠16 = 180
∠1 + ∠3 = 180
∠2 + ∠4 = 180
∠9 + ∠11 =180
∠10 + ∠12 = 180
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Vertical angles theorem. Vertical angles are congruent.
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7 0
3 years ago
Read 2 more answers
I really need help with this ?
quester [9]

Answer:

Answer=44

Step-by-step explanation:

Rectangle: 6x4=24.

Triangle: 4x4=16, and 16/2=8.

Semicircle: Pi x radius squared, so pi x 2 squared is 16.something, and since it's a semicircle, we divide by 2, so it's 8 again.

Overall: 24+8+8=44 cm squared.

3 0
3 years ago
The accompanying data contains the depth​ (in kilometers) and​ magnitude, measured using the Richter​ Scale, of all earthquakes
Sunny_sXe [5.5K]

Answer:

Depth:

μ =20.2025 km

M = 15.625 km

Range = 47.15 km

σ ≈ 15.92 km

Q₁ = 5.7375 km

Q₃ =  34.6675 km

Magnitude:

μ = 2.08375

M = 1.465

Range, R = 5.17

σ = 1.801485 ≈ 1.8

Q₁ = 0.5625

Q₃ = 3.925

Step-by-step explanation:

The given data are;

Depth {}                                 Magnitude

0.76 {}                                    0.84

4.93 {}                                    0.47

8.16 {}                                     0.35

33.58 {}                                  1.32

21.2 {}                                     1.61

35.03 {}                                  4.57

10.05 {}                                   5.52

47.91 {}                                    1.99

For the Depth, we have;

The mean, μ = (0.76+4.93+8.16+33.58+21.2+35.03+10.05+47.91)/8 =20.2025 km

The median, M = The (n + 1)/2th term after arranging the term in increasing order as follows;

0.76, 4.93, 8.16, 10.05, 21.2, 33.58, 35.03, 47.91 , the median is therefore;

(8 + 1)/2th term or the 4.5th term which is 10.05 + (21.2 - 10.05)/2 = 15.625 km

The Range = The highest - The lowest value = 47.91 - 0.76 = 47.15 km

The Standard deviation of, σ, is given as follows;

\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu  \right )^{2} }{N}}

Where;

x_i = The individual data point = (0.76, 4.93, 8.16, 10.05, 21.2, 33.58, 35.03, 47.91 )

N = The total number of data point = 8

Substituting, (using Microsoft Excel) we get;

\sigma =\sqrt{\dfrac{\sum \left (x_i-20.2025  \right )^{2} }{8}} \approx 15.92 \ km

Q₁ = The first quartile = The (n + 1)/4th =  term arranged in increasing order

Q₁ = The (8 + 1)/4th term = The 2.25th term = 4.93 + (8.16 - 4.93)×0.25) = 5.7375 km

Q₃ = The first quartile = The 3×(n + 1)/4th =  term arranged in increasing order

Q₃ = The 3×(8 + 1)/4th term = The 6.75th term = 33.58 + 3×(35.03 - 33.58)×0.25) = 34.6675 km

For the magnitude, we have, using the same formulas and procedures as above;

μ = 2.08375

M = 1.465

Range, R = 5.17

σ = 1.801485 ≈ 1.8

Q₁ = 0.5625

Q₃ = 3.925

4 0
3 years ago
What is the equation
Varvara68 [4.7K]
I bealive if it is the nature of the slope in unison comparing y-intercept elgebra it is  Y=3x-3/4
8 0
3 years ago
Help please and don't delete the question
Ahat [919]

Answer:

x = 2

Step-by-step explanation:

8(4-x) = 7x + 2

1) Distribute : 32 - 8x = 7x + 2

2) Subtract 32 : -8x = 7x - 30

3) Subtract 7x : -15x = -30

4) Divide 15 : x = 2 :)

4 0
2 years ago
Read 2 more answers
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