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2 years ago

Given that line s is perpendicular to line t, which statements must be true of the two lines? Check all that apply.

2 answers:

5 0

The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is - 1.

So, from that basic knowledge you can analyze each option:

<span>a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = - 1 => slope_1 = - 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. - 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is - 1/6.

So, the right choices are a, c and g.
</span>

Reil [10]2 years ago

3 0

Answer:

A C G

Step-by-step explanation:

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A sample of blood pressure measurements is taken for a group of adults, and those values (mm Hg) are listed below. The values

nika2105 [10]

Answer:

For systolic pressure data:

$\bar X =127.2\\\\S=17.91668\\\\CV=\frac{17.91668}{127.2}=0.14085$

For diastolic pressure data:

$\bar X =73.5\\\\S=12.54\\\\CV=\frac{73.5}{12.54}=0.17061$

Systolic pressure is slightly less variable, among individuals in the sample, than diastolic pressure.

Step-by-step explanation:

The coefficient of variation is defined as the percentage relative variation of a set of data with respect to its average. And it is calculated like this:

$CV=\frac{\bar X}{S}$

$S =\sqrt{\frac{1}{n-1} \sum_{i=1}^n (x_i-\bar{x})^2$

$\bar X={\frac{1}{n} \sum_{i=1}^n x_i$

For systolic pressure data:

$\bar X =127.2\\\\S=17.91668\\\\CV=\frac{17.91668}{127.2}=0.14085$

For diastolic pressure data:

$\bar X =73.5\\\\S=12.54\\\\CV=\frac{12.54}{73.5}=0.17061$

It is observed that the systolic pressure shows greater standard deviation but less coefficient of variation. This is due to the greater magnitude of its measurement scale.

Systolic pressure is slightly less variable, among individuals in the sample, than diastolic pressure.

7 0

2 years ago

The perimeter of the rectangle below is 166 units. Find the length of side RS.

Wittaler [7]

The length of RS is 45 units if the perimeter of the rectangle below is 166 units.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

The question is incomplete.

The complete question is:

The perimeter of the rectangle below is 166 units. Find the length of the side RS. Write your answer without variables.

The figure is in the picture please refer to the picture.

The perimeter of the rectangle = 166 units

2(4x + 2 + 5x) = 166

9x + 2 = 83

9x = 81

x = 9

The length of RS = 5x = 5(9) = 45 units

Thus, the length of RS is 45 units if the perimeter of the rectangle below is 166 units

Learn more about the rectangle here:

brainly.com/question/15019502

#SPJ1

3 0

1 year ago

Plz help! Convert 6/9 into fractions with a denominater of 27 A. 6/7 B.21/27 C. 9/27 D.18/27

givi [52]

D. 6 x 3 = 18 and 9 x 3 = 27, hope this helps :)

8 0

2 years ago

Explain how you can use base 10 blocks to find one. 54+2.37

jasenka [17]

So you mean add 54+2.37? Well, I do know that the answer to 53+2.37= 2.90. I hope I helped, even if I only helped by an inch.

6 0

2 years ago

5*10^5 is how many times bigger that 1*10^5

weqwewe [10]

Answer:

Step-by-step explanation:

5*10^5=500000 and 1*10^5=100000

6 0

2 years ago