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3 years ago

What is the midpoint of the segment shown below?

Mathematics

1 answer:

RSB [31]3 years ago

7 0

Answer:

Step-by-step explanation:

The mid point of the line segment is defined as the point on that line that divides the line segment in to two congruent segments and is denoted as:

Mid point= $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

Now, the line segment having the points (-2,4) and (6,-4) has the mid point:

Mid point= $(\frac{-2+6}{2},\frac{4-4}{2})$

= $(2,0)$

Hence, the mid point of the given line segment is: (2,0)

Therefore, Option C is correct.

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A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table b

DIA [1.3K]

Answer:

P(Male or Type B) > P(Male | Type B)

Step-by-step explanation:

Total Female = 85 type A, 12 type B ⇒ 97 Female.

Total Male = 65 type A, 38 type B ⇒ 103 Male

Total type A = 65 + 85 = 150

Total type B = 12 + 38 = 50

total number of people = 97 + 103 = 200

Then the probability would be:

P(Male | Type B) = $\frac{number of male in B}{total number of male}$

= $\frac{38}{103}$

= 0.368

P(Male or Type B) = $\frac{total number of male + (total number of people in B - total number of male in B)}{total number of male}$

= $\frac{103 + (50 - 38)}{200}$

= $\frac{103 + 12}{200}$

= $\frac{115}{200}$

= 0.575

Hence, P(Male or Type B) > P(Male | Type B)

3 0

3 years ago

Find the sum and express it in the simplest form. (2x^2+3x-4)+(x^2-x-2)

Katen [24]

18 hope it helped!!

:) be my pleasure!

tysm

8 0

3 years ago

During a snowstorm, the temperature drops from 0°F to -12°F in 3 hours. On

Anastasy [175]

Answer:D.

-4°F

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A side of the triangle below has been extended to form an exterior angle of 132°. Find the value of X

Zinaida [17]

Answer:

x = 114°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, thus

x + 18° = 132° ( subtract 18° from both sides )

x = 114°

7 0

2 years ago

a regular rectangular pyramid has a base and lateral faces that are congruent equilateral triangles. it has a lateral surface ar

Margarita [4]

A pyramid is regular if its base is a regular polygon, that is a polygon with equal sides and angle measures.
(and the lateral edges of the pyramid are also equal to each other)

Thus a regular rectangular pyramid is a regular pyramid with a square base, of side length say x.

The lateral faces are equilateral triangles of side length x.

The lateral surface area is 72 cm^2, thus the area of one face is 72/4=36/2=18 cm^2.

now we need to find x. Consider the picture attached, showing one lateral face of the pyramid.

by the Pythagorean theorem:

$h= \sqrt{ x^{2} - (x/2)^{2}}= \sqrt{ x^{2}- x^{2}/4}= \sqrt{3x^2/4}= \frac{ \sqrt{3} }{2}x$

thus,

$Area_{triangle}= \frac{1}{2}\cdot base \cdot height\\\\18= \frac{1}{2}\cdot x \cdot \frac{ \sqrt{3} }{2}x\\\\ \frac{18 \cdot 4}{ \sqrt{3}}=x^2$

thus:

$x^2 =\frac{18 \cdot 4}{ \sqrt{3}}= \frac{18 \cdot 4 \cdot\ \sqrt{3} }{3}=24 \sqrt{3}$ (cm^2)

but $x^{2}$ is exactly the base area, since the base is a square of sidelength = x cm.

So, the total surface area = base area + lateral area = $24 \sqrt{3}+72$ cm^2

Answer: $24 \sqrt{3}+72$ cm^2

4 0

3 years ago