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3 years ago

This figure is a step in which construction?

Mathematics

2 answers:

Vikentia [17]3 years ago

4 0

<h2>Answer:</h2>

Option: B is the correct answer.

B. a line perpendicular to <-AB-> through point P.

<h2>Step-by-step explanation:</h2>

We know that a line perpendicular to a given line is constructed as follows:

1) Draw a line segment AB

2) Take a span of compass more than half the length of AB and keep the point of compass first at A and then at B to make a arc above AB.

3) Draw a straight line that passes through the intersection of arc and line AB such that it meets AB at point P which will act as a midpoint of line AB.

Hence, the correct option is:

Option: B

choli [55]3 years ago

3 0

This will give you many results. AP = PB by construction

C is a point made by making the compass points such that AC>AP and the compass points are not altered so that BC = AC

C when joined to P creates a perpendicular line. This is very important. You use it a lot.

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If sample data come from a population that is not normally distributed, which

yuradex [85]

Answer:

For a data from population which is not normally distributed, the sample means would be approximately a normal distribution if the sample size (n) is greater than 30

Step-by-step explanation:

For a data from population which is not normally distributed, the sample means would be approximately a normal distribution if the sample size (n) is greater than 30 i.e n ≥ 30 this is because the shape of a sample distribution depends on the sample size. But for normal distribution population, the sample means would be approximately a normal distribution even if the sample size is less than 30;

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3 years ago

The coordinates of three vertices of a triangle are (3, 5), (-1, 5), and (-1, -3). What is the area of the triangle?

Marina86 [1]

If you would graph the triangle, one of the legs would be 8 and another would be 5 and the area of a triangle is bxh/2 so the equation is 8x5/2=20un².
Hope this helped! :)

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4 years ago

The sum of the diagonals of a rhombus is 5√2.

Alex

Greetings!
Let ABCD be a rhombus
AC + BD = 5√2 cm

Area of ABCD = Ar△ABD + Ar △BCD
$= \frac{1}{2} \times BD \times AO + \frac{1}{2} \times BD \times OC$
$= \frac{1}{2} BD (AO + OC)$
$\frac{1}{2} BD \times AC$

$So, \frac{ BD \times AC}{2} = 4 \: cm {}^{2}$
$BD \times AC = 8$
$Now, AC + \: BD = 5 \sqrt{2}$

Squaring both sides, we get
$AC {}^{2} + BD {}^{2} + 2 AC.BD =50$
$AC {}^{2} + BD {}^{2} + 2 \times 8 = 50$
$AC {}^{2} + BD {}^{2} = 50 - 16$
$AC {}^{2} + BD {}^{2} = 34$

In △AOB, we have
$OA {}^{2} + OB {}^{2} =AB {}^{2}$
$( \frac{ AC }{2} ) {}^{2} + ( \frac{ BD}{2} ) {}^{2} = AB {}^{2}$
$\frac{ AC {}^{2} } {4} + \frac{ BD {}^{2} }{4} = AB {}^{2}$
$AC {}^{2} + BD {}^{2} = 4 AB {}^{2}$
$34 = 4 AB {}^{2}$

Square rooting both sides
$\sqrt{34} = 2 AB$
$Perimeter = 4 \: AB \\ = 2 \times 2 \: AB \\ = 2 \: \times \sqrt{34 } \\ = 2 \sqrt{34 \: } units$ .

Hope it helps!

7 0

3 years ago

1 kg = 1,000 g<br> 27 kg =

Lera25 [3.4K]

Answer:

27000g

Step-by-step explanation:

27kg × 1000 = 27,000g

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3 years ago

Find the interior angle sum for the following polygon

Brrunno [24]

Answer:

Polygon Name

Number of Interior Angles

Sum of Interior Angles = (n-2) x 180°

Triangle

180°

Quadrilateral

360°

<u><em> Pentagon </em></u>

Hexagon

720°

Step-by-step explanation:

4 0

3 years ago

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