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3 years ago

B is the midpoint of AC, D is the midpoint of CE, and BD=15. find AE

Mathematics

2 answers:

8_murik_8 [283]3 years ago

4 0

AE= 30 because it's BD x2

densk [106]3 years ago

4 0

Answer:

The length of AE is 30 units.

Step-by-step explanation:

Given that B is the mid point of AC and D is the mid-point of CE in ΔABC.

Also, BD=15 units

we have to find the length of AE

By mid-point theorem

The line joining the mid-points of two sides of triangle is parallel to third side and also half of the length of third side.

∴ $BD=\frac{1}{2}AE$

$15=\frac{1}{2}\times AE$

$AE=15\times 2=30 units$

Hence, the length of AE is 30 units.

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the brain volumes () of 50 brains vary from a low of to a high of . use the range rule of thumb to estimate the standard devia

Sloan [31]

The estimated standard deviation from the range rule is 145.5 cm3.As it is 29.8 cm3 smaller than the exact standard deviation, we consider that the estimation is not accurate enough.

Generally, brain volumes which are smaller than 921.1 cm3 can be considered significantly low and bigger than 1417.5 cm3 can be considered significantly high. Hence, brain volume of 1457.5 cm3 is bigger than the expected maximum, so it can be considered significantly high.

The calculation goes like this,

According to the range rule, the standard deviation and range, or the distance between the maximum and smallest value, are roughly inversely proportional:

$s=R/4$

If we have a sample of 50 brains volumes, and they range from 910 cm3 to 1492 cm3, we can estimate the standard deviation as:

$s=max-min/4$

s=1492-910/4=582/4=145.5

The exact standard deviation is 175.3 cm3.The difference is 175.3-145.5=29.8 cm3, so the estimation is not accurate enough.

The range rule of thumb states that we should anticipate a maximum value that is approximately two standard deviations above the mean and a lowest value that is approximately two standard deviations below the mean. The expected ranges are as follows given our mean volume of 1169.3 cm3 and standard deviation of 124.1 cm3:

Min= M-2s=1169.3-2*124.1=921.1

Max=M+2s=1169.3+2*124.1=1417.5

The brain capacity of 1457.5 cm3 can be regarded as significantly high because it is higher than the predicted maximum.

To know about standard deviation click here :

brainly.com/question/23907081

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5 0

1 year ago

Given the set of vertices, determine whether parallelogram ABCD is a rhombus, rectangle or square. List all that apply. A(7,-4),

Sloan [31]

Given:

Vertices of a parallelogram ABCD are A(7,-4), B(-1,-4), C(-1,-12), D(7, -12).

To find:

Whether the parallelogram ABCD is a rhombus, rectangle or square.

Solution:

Distance formula:

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

Using distance formula, we get

$AB=\sqrt{(-4-(-4))^2+(-1-7)^2}$

$AB=\sqrt{(-4+4)^2+(-8)^2}$

$AB=\sqrt{0+64}$

$AB=8$

Similarly,

$BC=\sqrt{(-1-(-1))^2+(12-(-4))^2}=8$

$CD=\sqrt{(7-(-1))^2+(-12-(-12))^2}=8$

$AD=\sqrt{(7-7)^2+(-12-(-4))^2}=8$

All sides of parallelogram are equal.

$AC=\sqrt{(-1-7)^2+(-12-(-4))^2}=8\sqrt{2}$

$BD=\sqrt{(7-(-1))^2+(-12-(-4))^2}=8\sqrt{2}$

Both diagonals are equal.

Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.

We know that, a square is special case of rectangles and rhombus.

So, parallelogram ABCD is a rhombus, rectangle or square. Therefore, the correct option is c.

7 0

3 years ago

-x^2+4x-8 <br>axis of symmerty

V125BC [204]

Answer:

$\boxed {\boxed {\sf x=2}}$

Step-by-step explanation:

The axis of symmetry can be calculated using the formula:

$x=\frac{-b}{2a}$

First we must determine a and b from the quadratic: $-x^2+4x-8$ . This is in standard form, with the highest power first in descending order.

Standard form is also: $ax^2+bx+c$

If we compare this to the quadratic given, we can conclude that:

$a= -1 \\b= 4 \\c= -8$

Substitute the values for a and b into the formula.

$x= \frac{-(4)}{2(-1)}$

Multiply in the denominator.

$x=\frac {-4}{-2}$

Divide.

$x=2$

This can also be determined from the graph. It is the x-coordinate of the vertex or the maximum/minimum. It divides the quadratic into 2 symmetrical halves.

8 0

3 years ago

Students in Ms. Bell’s geometry class created posters of geometric definitions. Which of the following is the most precise defin

ohaa [14]

Answer:

Step-by-step explanation:

D is missing 2 ideas.

An angle can be formed by a mixture of the types of figures quoted.
An angle has common or shared endpoint.

B: to me is unclear. A line does not have an endpoint. A ray does.

A: you need to mention that the lines are coplanar.

I think, brief though it is, C is the most complete and at the same time simplest choice.

5 0

2 years ago

Charlize and Camille solved the equation 4x – 2y = 8 for y. Their work is shown

Aloiza [94]

Answer:

The answer to your question is below

Step-by-step explanation:

Equation 4x - 2y = 8 solve for y

First, pass 4x to the right side -2y = -4x + 8

Pass -2 to the right side y = -4/-2 x + 8 /-2

Simplify y = 2x -4 or y = -4 + 2x

I can not see clearly the work of Charlize and Camille, but the one that has the answer shown above is correct.

6 0

3 years ago