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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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Pls help me with trig :)
trapecia [35]

Answer:

Step-by-step explanation:

let ∠GEF=x

then ∠GFE=90-x

\frac{GH}{EH}=tan x\\GH=EH~ tan x\\or~ GH=a ~tan x=6 tan x\\\frac{GH}{FH}=tan (90-x)=cot x\\GH=FH*cot x\\GH=b*cot x=27 cot x\\6 tan x=27 cotx\\\frac{tan x}{cot x}=\frac{27}{6}\\tan ^2 x=\frac{27}{6}=\frac{9}{2}\\sec^2x-tan^2x=1\\sec^2 x=1+tan ^2x=1+\frac{9}{2}=\frac{11}{2}\\\frac{EG}{EH}=sec x\\ EG=EH sec x=a sec x= 6 sec x=6\sqrt{\frac{11}{2} } =3\sqrt{22} \approx 14.07

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3 years ago
During a promotional event a sporting goods store gave a free t-shrit to every 10 customer and a free water bottle to every 15 c
SVETLANKA909090 [29]

9514 1404 393

Answer:

  30th

Step-by-step explanation:

The least common multiple of 10 and 15 is 30.

  30 = 10×3 = 15×2

The 30th customer will be the first to receive both promotional items.

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2 years ago
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Oksanka [162]
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3 years ago
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Answer:

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Question: Carbon-11 has a half-life of about 20 minutes. If we start with 200 grams, how
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Step-by-step explanation:

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