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geniusboy [140]
3 years ago
9

The Hypotenuse-Leg Theorem states that if the hypotenuse and leg of one right triangle is congruent to the hypotenuse and corres

ponding leg of another right triangle, then the triangles are similar.
Mathematics
1 answer:
Dovator [93]3 years ago
4 0
The <span>hypotenuse leg theorem states that any two </span>right triangles<span> that have a </span>congruent hypotenuse<span> and a </span>corresponding<span>, congruent leg are </span>congruent <span>triangles.</span>
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In an arithmetic sequence, the 10th term is 37, and the 21st term is 4. Find the common difference and the first term
Masja [62]

Answer:

Common difference is 3. And the first term is 64.

Step-by-step explanation:

The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between.  And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64

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The radius of a bicycle wheel is 80cm. During one trip this wheel rotted 25121 times. To the nearest metre, how far did the bicy
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Step-by-step explanation:

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3 years ago
The first 4 terms of a geometric sequence are 2, 6, 18, 54. Part A: Find the common ratio. Remember the common ratio is the numb
ra1l [238]

Answer:

Common ratio is 3

The three terms are 162, 486, 1458

Step-by-step explanation:

Given: The first 4 terms of a sequence are 2,6,18,54

To find:

A. the common ratio

B. the next 3 values in the geometric sequence

Solution:

Geometric sequence is a sequence in which each of the terms is obtained by multiplying the previous term by a fixed number.

A.

\frac{6}{2}=3\\\\\frac{18}{6}=3\\\\\frac{54}{18}=3

So, the common ratio is 3

B.

The next three values are as follows:

54(3)=162\\162(3)=486\\486(3)=1458

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3 years ago
How can you tell if a set of bivariate data shows a linear relationship?
Anastasy [175]
<span>It introduces the relationship between two variables and is called correlation. Proportionality or variation is state of relationship or correlation between two variables It has two types: direct variation or proportion which states both variables are positively correlation. It is when both the variables increase or decrease together. On the contrary, indirect variation or proportion indicates negative relationship or correlation. Elaborately, the opposite of what happens to direct variation. One increases with the other variables, you got it, decreases. This correlations are important to consider because you can determine and identify how two variables relates with one another. Notice x = y (direct), y=1/x (indirect)
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3 years ago
Explain why vertical lines are a special case in the definition of parallel lines.
Nookie1986 [14]

Answer:

A vertical line has an infinite or undefined slope since the denominator is zero.

Step-by-step explanation:

Parallel lines by definition refers to lines that never intersect or meet since they have identical slopes. The slope of line is defined as;

(change in y)/(change in x)

For a vertical line, the y values are changing while the x values remain constant. The slope of this line will thus have a zero value in the denominator implying that its slope will not defined or will be infinity.

6 0
3 years ago
Read 2 more answers
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