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Ray Of Light [21]
2 years ago
12

1. Rotate ABC 180° about the origin making DEF. List all congruent sides and angles:

Mathematics
1 answer:
Vedmedyk [2.9K]2 years ago
6 0

Answer:

<h3>              ∠ABC≅∠DEF </h3><h3>              ∠BCA≅∠EFD </h3><h3>              ∠CAB≅∠FDE </h3><h3>           AB≅DE,  BC≅EF,  CA≅FD</h3>

Step-by-step explanation:

To rotate point A 180° about the origin (point O) we draw a line from that point (A) throu the origin, measure the distance from the point A to the origin, and then measure the same distance on the other side of the origin to get rotated point. Mark it. The angle at the rotated point will be congruent to ∠A

The same goes for points B and C

Angles at pair of given and rotated point are congruent.

Sides of triangle are congruent if they lay between two congruent angles.

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Step-by-step explanation:

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2 years ago
In November 2010, an article titled "Frequency of Colds Dramatically Cut with Regular Exercise" appeared in Medical News Today.
disa [49]

Answer:

Part a

For the given study, the explanatory variable or independent variable is given as regularity or frequency of exercise. This variable is classify as categorical variable because variable is divided into two categories such as whether participant exercise 5 or more days a week or not.

Part b

For the given study, the response variable or dependent variable is given as frequency of colds. This variable is classified as quantitative variable because we measure the quantities or frequency of number of colds.

Part c

A confounding variable for this research study is given as incidence of upper respiratory tract infections that provides an alternative explanation for the lower frequency of colds among those who exercised 5 or more days per week, compared to those who were largely sedentary. This confounding variable is categorical in nature.

5 0
3 years ago
A circle has been split into 8 sectors each of which can be colored as 4 different colors, and no consecutive sectors are colore
Eva8 [605]

Answer:

5832 ways

Step-by-step explanation:

Since the circle has 8 sectors and there is 4 colour,

Assuming the sectors are numbered 1 to 8,

Sector 1 : can be coloured with any of the 4 colour in 4 ways

Sector 2 can be coloured with any of the remaining 3 colours in 3 ways

Sector 3 in 3 ways without using the colour in sector 2

Sector 4 in 3 ways without using the colour in sector 3

Sector 5 in 3 ways without using the colour in sector 4

Sector 6 in 3 ways without using the colour in sector 5

Sector 7 in 3 ways without using the colour in sector 6

Sector 8 in 2 ways without using the colours in sector 1 and 7

Number of ways of colouring = 4*3*3*3*3*3*3*2 = 5832 ways

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2 years ago
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Diego made 6 boxes of spaghetti to feed the 20 people who attended his dinner party.
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15
3 box per 10 people
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2 years ago
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