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2 years ago

Based on the pattern of the drawings, which conjecture

Mathematics

2 answers:

anzhelika [568]2 years ago

8 0

Answer:

The most reasonable answer would likely be the first.

"When a pair of parallel lines is intersected by a third line, the alternate exterior angles are congruent."

Step-by-step explanation:

navik [9.2K]2 years ago

5 0

Answer:

<h2>When a pair of parallel lines is intersected by a third line, the alternate exterior angles are congruent.</h2>

Step-by-step explanation:

This is the reasonable conjecture, because it's what actually happens. To get the answer we must remember what are alternate exterior angles.

Alternate exterior angles are formed by the intersection of a pair of parallels and a lines that intersect them like the figure shows. From this intersection result 4 pair of angles that are related: alternate interior angles, alternate exterior angles, corresponding angles and interior angles on the same side of the transversal.

So, alternate exterior angles are those outside the parallels (that's why they are called exterior), and they are placed in different sides of the intersecting line, one on the left, one on the right.

Therefore, as you can see in the image, in each intersection, there are two angles outside the parallels and in different sides of the intersecting line, so they are alternate exterior angles, and they are the same, because the number shows it.

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Tasha assembled a picture frame that is advertised as rectangular. The completed frame is 14 inches long and 10 inches wide. She

aalyn [17]

the diagonal of a rectangle is square root of (w^2 +l^2)

so square root of (14^2 +10^2) = 17.2 inches

since 20" is longer than 17.2 it can't be a rectangle

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2 years ago

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Hailey paid $13\$13 $13 dollar sign, 13 for 137 kg1\dfrac3{7} \text{ kg} 1 7 3 kg 1, start fraction, 3, divided by, 7, end fra

Colt1911 [192]

Answer:

$3.90 was the cost of salami per kilogram.

Step-by-step explanation:

The question is incomplete, so the complete question is below:

$Hailey\ paid\ \$13\ for\ 1\ 3/7\ kg\ of\ sliced\ salami.\ \\What\ was\ the\ cost\ per\ kilogram\ of\ salami?$

Now, to find the cost of salami per kilogram.

Cost of $1\frac{3}{7}$ kilogram of sliced salami = $13.

Now, to get the cost of salami per kilogram we use unitary method:

If, the cost of $\frac{10}{3}$ kilogram of salami = $13.

Then, the cost of 1 kilogram of salami = $\frac{13}{\frac{10}{3}}$

$=\frac{13}{10}\times 3$

$=\frac{39}{10}$

$=\$3.90.$

Therefore, $3.90 was the cost of salami per kilogram.

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2 years ago

One hundred teachers attended a seminar on mathematical problem solving. The attitudes of representative sample of 12 of the tea

andrew11 [14]

Answer:

a) 1.92

b) 3.25

c) 1.5

d) -5.23

Step-by-step explanation:

We are given the following in the question:

4, 7, -1, 1, 0, 5, -2, 2, -1, 6, 5, -3

a) mean of score change

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{23}{12} = 1.92$

b) standard deviation for this population

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

Sum of squares of differences = 126.92

$\sigma = \sqrt{\frac{126.92}{12}} = 3.25$

c) median change score

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

Sorted data: -3, -2, -1, -1, 0, 1, 2, 4, 5, 5, 6, 7

Median =

$\dfrac{6^{th} + 7^{th}}{2} = \dfrac{1+2}{2} = 1.5$

d) change score that is 2.2 standard deviations below the mean.

$x = \mu - 2.2(\sigma)\\x = 1.92-2.2(3.25)\\x = -5.23$

4 0

2 years ago

What is the greatest common factor GCF of 30,66. 84

Anon25 [30]

Answer:

Step-by-step explanation:

Factorize of the above numbers :

30 = 2 • 3 • 5

66 = 2 • 3 • 11

84 = 22 • 3 • 7

Build a prime factors table

Number of times each prime factor

appears in the factorization of :

Prime

Factor Number

30 Number

66 Number

84 G.C.F

(min)

2 1 1 2 1

3 1 1 1 1

5 1 0 0 0

7 0 0 1 0

11 0 1 0 0

GCF = 2 • 3

Greatest Common Factor is :

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2 years ago

A rectangle’s width is 2 meters shorter than its length, l. Its area is 168 square meters. Which equation can be used to find th

Dmitry [639]

The area (A) of the triangle is the product of its length (l) and width (w). A = l x w. Since the width is 2 m shorter than the length, it may be expressed as w = l -2. The equation for area becomes,
A = l x (l - 2)
Substituting the known area and rearranging the equation gives,
l(l - 2) = 168.

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2 years ago

Read 2 more answers