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2 years ago

When constructing a perpendicular bisector, why must the compass opening be greater the 1/2 than the length of the segment?

Mathematics

1 answer:

Alex787 [66]2 years ago

8 0

Answer.

It is Important to open the compass more than half the length so that the arcs made would meet.

Explanation.

When you want to construct a perpendicular line to a line segment, say line AB, the follow steps are taken;

1) Open your compass to a radius greater than half the line AB.

2) With A as your center make an arc on top and below line AB.

3) Using the same radius and with B as our center, make other arcs on top and below line AB to meet the first arcs on both sides of the line.

4) Join the two intersection of the two arcs to cut line AB at M.

In so doing the line AB is said to be bisected perpendicularly. If the compass was opened less than half line AB, then the arcs could not have meet.

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A national organization sets out to investigate the change in prevalence of HIV since the last census in 2010. A total of 4,706

nikitadnepr [17]

Answer:

As can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.

Step-by-step explanation:

Given that a national organization sets out to investigate the change in prevalence of HIV since the last census in 2010, ya total of 4,706 participants were interviewed and a total of 468 responses were confirmed to be HIV positive, assuming that the data from the census indicated that the prevalence of HIV in the particular population was 7.5%, to determine if the proportion of the prevalence of HIV has changed (is equal to 7.5%) the following calculation should be performed:

4706 = 100

468 = X

468 x 100/4706 = X

46,800 / 4,706 = X

9.94 = X

Therefore, as can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.

4 0

2 years ago

543x=244x+255x

RUDIKE [14]

Answer:

The answer is x = 0

8 0

2 years ago

I NEED HELP. PLEASE ANSWER QUICK. BRAINLIEST WILL BE GIVEN. THERE IS A BOT AUTO ANSWERING. PLEASE ANSWER ANYWAY

dimaraw [331]

Answer:

The answer is A

Step-by-step explanation:

The shape is a rhombus when plotted on a quardanent plane. The shape is similar to a diamond.

7 0

2 years ago

Write an equation in slope intercept form for the line that passes through (2,-2) and is parallel to y=-5/2x+5

DENIUS [597]

$y=mx+b\\y=x-2$

Only y= x - 2 intercepts x-axis at 2 and y-axis at -2. Thus meaning that they intercept oppositely.

Find if both graphs are parallel, that means the equation must be false.

$x-2=-\frac{5}{2}x+5$

Multiply whole equation by 2 to get rid of the fractional 2.

$2x-(2)(2)=-\frac{5}{2}(2)(x)+5(2)\\ 2x-4=-5x+10\\2x-4+5x-10=0\\7x-14=0\\7x=14\\x=2$

Well, that doesn't seem to be parallel. This is called one solution answer. Both graphs intercept at (2,0). There are no linear graphs that intercept at (2,-2) except for y = x-2 so there are no graphs with (2,-2) that are parallel to the equation y = -5x/2+5

8 0

2 years ago

Which best describes the graph of g(x) = 1/9 sq x PICTURE DOWN BELOW

Alexus [3.1K]

Answer:

A) The graph of g(x) is shrunk vertically by a factor of 1/9

Step-by-step explanation:

The given graph g(x) = 1/9√x

f(x) = √x

The altitude of g(x) = 1/9

The altitude of f(X) = 1

When comparing the graph of g(x) with f(x), the graph of g(x) shrunk by 1/9 because of the altitude.

Here with I have attached the graph.

Therefore, answer: A) The graph of g(x) is shrunk vertically by a factor of 1/9

Thank you.

8 0

2 years ago