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2 years ago

Please help!!! I don’t really understand this at all

Mathematics

2 answers:

olga_2 [115]2 years ago

6 0

- line CD is perpendicular to segment AB
- point M is the midpoint of segment AB

makkiz [27]2 years ago

4 0

9514 1404 393

Answer:

a, b, e (only)

Step-by-step explanation:

The circle centered at A is all of the points that are distance AB from A.

The circle centered at B is all of the points that are distance AB from B.

The points C and D are points that are distance AB from both A and B.

The line joining those points (C and D) consists entirely of points that are equal distances from A and from B. CD is the perpendicular bisector of AB.

Point M is one of the points on line CD, and is also on segment AB. Because it is on CD, we know it is the same distance from A as from B. That means AM = BM, and M is the midpoint of AB.

Points B, C, D are not on the same line, so can form a triangle. As with any triangle, the sum of any two segments is greater than the length of the third. Here, this is expressed as CB + BD > CD.

With some work using the Pythagorean theorem, you can show that ...

CM = AM×√3

Similarly, MD = BM×√3.

Adding these two relations tells us ...

CM +MD = √3(AM +BM)

CD = AB×√3 . . . . . AB and CD are not the same length

AM and BM are on the same line, so cannot be perpendicular to each other.

_____

<em>Additional comment</em>

When you are studying compass and straightedge constructions, you would do well to actually perform these constructions using those tools on paper. This gives you a feel for what is going on and helps you remember the steps. A computer screen is no substitute for hands-on.

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Is -19+ square root of 14 rational or irrational

Cloud [144]

Answer: √14 =3.74, which is not an integer and therefore is an irrational number.

Step-by-step explanation:

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Please help!!!!

tatyana61 [14]

Answer:

Step-by-step explanation:

From the figure attached,

If the figures shown are congruent (Equal in shape and size), length of all the sides must be equal.

Therefore, sides sides CD and GH must be equal in measures.

Distance between the two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Length of the side CD having ends C(-4, 4) and D(0, 5) will be,

CD = $\sqrt{(-4-0)^2+(4-5)^2}$

CD = $\sqrt{(16+1)}$

= $\sqrt{17}$

Length of GH having ends G(0, -4) and H(4, -5) will be,

GH = $\sqrt{(0-4)^2+(-4+5)^2}$

= $\sqrt{16+1}$

= $\sqrt{17}$

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2 years ago

Jodi delivers 54 newspapers on Saturday and 78 on newspapers Sunday. She makes bundles of 6 newspapers for each of her delivery

Katarina [22]

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2 years ago

HELPP! Calculate S22 for the arithmetic sequence in which a12=2.4 and the common difference is d=3.4

Natalka [10]

Answer:

Option A is correct.

Value of $S_{22} = 15.4$

Step-by-step explanation:

Given: $a_{12} = 2.4$ and common difference(d) = 3.4

A sequence of numbers is arithmetic i.e, it increases or decreases by a constant amount each term.

The sum of the nth term of a arithmetic sequence is given by;

$S_n =\frac{n}{2}(2a+(n-1)d)$ , where n is the number of terms, a is the first term and d is the common difference.

We also know the nth tern sequence formula which is given by ;

$a_n = a+(n-1)d$ ......[2]

First find a.

it is given that $a_{12} = 2.4$

Put n =12 and d=3.4 in equation [2] we have;

$a_{12} = a+(12-1)(3.4)$

$a_{12} = a+(11)(3.4)$

2.4 = a + 37.4

Simplify:

a = - 35

Now, to calculate $S_{22}$

we use equation [1];

here, n =2 , a =-35 and d=3.4

$S_{22} = \frac{22}{2}(2(-35)+(22-1)(3.4))$

$S_{22} = (11)(-70+21(3.4))$

$S_{22} = (11)(-70+71.4)$

$S_{22} = (11)(1.4)$

Simplify:

$S_{22} = 15.4$

Therefore, the sum of sequence of 22nd term i.e, $S_{22} = 15.4$

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