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S_A_V [24]
2 years ago
11

Lesson 1 Skills Practice

Mathematics
1 answer:
Leviafan [203]2 years ago
4 0

9514 1404 393

Answer:

  • alternate interior: (2, 4), (3, 5)
  • alternate exterior: (1, 7), (43°, 6)
  • corresponding: (1, 5), (2, 6), (3, 7), alternate interior: (2, 4), (3, 5)

corresponding: (1, 5), (2, 6), (3, 7), (43°, 4)4)

Step-by-step explanation:

In this geometry, "corresponding" angles are in the same direction from the point of intersection of the transversal with the parallel line.

"Alternate" refers to angles on opposite sides of the transversal. "Interior" and "exterior" refer to angles between and outside of the parallel lines, respectively.

Here, we list all angle pairs in each classification, so you can answer questions 1-12 based on this list.

alternate interior: (2, 4), (3, 5)

alternate exterior: (1, 7), (43°, 6)

corresponding: (1, 5), (2, 6), (3, 7), (43°, 4)

__

Additional classifications are also used:

consecutive (same-side) interior: (2, 5), (3, 4)

consecutive (same-side) exterior: (1, 6), (43°, 7)

vertical: (1, 3), (2, 43°), (4, 6), (5, 7)

linear pairs: (1, 2), (1, 43°), (2, 3), (3, 43°), (4, 5), (4, 7), (5, 6), (6, 7)

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What is the slope of a line perpendicular to the line whose equation is 2x-y=5 ?
mariarad [96]

Answer:

-1/2

Step-by-step explanation:

the slope of the line 2x-y=5 is 2

a perpendicular line has the negative reciprocal of the slope of the other line

hopefully this helps :)

3 0
3 years ago
Will mark brainliest if get the correct answer.
Savatey [412]

Answer:

Perimeter of rectangle before folded = 56 in

Total area after folding = 156 sq in

Step-by-step explanation:

Rectangle before folded:  l = 16 and w = 12

                                           P = 2(16) + 2(12) = 32 + 24 = 56 in.

Figure after folding:   Area of trapezoid + area of rectangle

Area of trapezoid = h(b_{1} + b_{2})/2 = 6(4 + 16)/2 = 60

Area of rectangle = lw = 16(6) = 96

Total area after folding = 60 + 96 = 156 sq in.

Note:  You could also find the area after folding by substracting the areas of the two triangles in the corners from the area of the original rectangle.  Your choice.  OK?

8 0
3 years ago
6) −3 + 3k = −27<br> solve
erma4kov [3.2K]

Answer:

k = -8

Step-by-step explanation:

−3 + 3k = −27

⇔ -3 + 3k +3 = -27 +3

⇔ 3k = -24

⇔ k = -8

7 0
3 years ago
Read 2 more answers
Two points on line p have
Andrews [41]

Answer:

D. ⅔

Step-by-step explanation:

I hope it helps :)

m =   \frac{y_2 - y_1}{x_2 - x_1}  \\ m =  \frac{3 - 1}{5 - 2}  =  \frac{2}{3}  \\ m = \frac{2}{3}

6 0
3 years ago
You are testing the claim that the proportion of men who own cats is significantly different than the proportion of women who ow
Nadya [2.5K]

Answer:

Test statistic =1.30

Step-by-step explanation:

Given that you are testing the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats.

                                             Men                Women            Difference

Sample size n                        60                     120

Proportion p_1, p_2              0.45                   0.35                 0.10

60 120 180

0.45 0.35 0.383333333

27 42 69

p = 0.3833

Std error for proportion difference = \bar p (1-\bar p)(\frac{1}{n_1}+\frac{1}{n_2})\\=0.3833(0.6167)(\frac{1}{60}+\frac{1}{120})\\=0.0769

Test statistic = \frac{p_1-p_2}{\bar p (1-\bar p)(\frac{1}{n_1}+\frac{1}{n_2})  }

=1.3008

=1.30

4 0
3 years ago
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