As shown in the figure, polyhedron ABCDEFGH is a cube and P is any point on face EFGH. Compare the
volume of the pyramid PABCD and the volume of the cube. Complete the explanation.
H
G
P
B
The volume of PABCD
vis
the volume of the cube v

Answer:

D. y = 2x - 2

Step-by-step explanation:

1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:

[tex]2y-4x = 1\\2y = 4x+1\\y = 2x+\frac{1}{2}[/tex]

A line placed in slope-intercept form is represented by the formula [tex]y = mx + b[/tex]. The [tex]m[/tex], or the coefficient of the x-term, represents the slope. Thus, the slope of this line is 2.

2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.

We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.

Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex]. Since [tex]m[/tex] represents the slope of the line, substitute 2 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (4,6) into the formula as well. Then, with the resulting equation, isolate y like before to find which option is correct:

[tex]y-6 = 2(x-4)\\y-6 = 2x-8\\y = 2x-2[/tex]

So, option D is correct.  

Answer:

1. 30

2. x = 0

3. x = 10

4. 11.7

5. 60

Step-by-step explanation:

Answer:

The answer is "[tex]2.5 \ cm[/tex]"

Step-by-step explanation:

While Luke is 5m to 2cm in size, it implies that every 2cm to Luke's drawing is 5m in real life. That real pond width must therefore be 5 m, given the fountain's width is 2 cm. As shown in the illustration, the step size for IsabelLa from the illustration to real life is [tex]\frac{6}{3} =2[/tex], which makes it simple to multiply any measure in the cm of her illustration by 2 to accomplish the exact size in m. So, in another direction around, they just have to divide the value by 2, instead of the divide from reality for drawing. So if the actual worth is 5m, it ought to be [tex]\frac{5}{2} = 2.5 \ cm[/tex] in its width.

Answer:

x = 16

Step-by-step explanation:

The sum of the exterior angles of a triangle = 360°

Sum the exterior angles and equate to 360

5x + 12 + 10x - 37 + 9x + 1 = 360 , that is

24x - 24 = 360 ( add 24 to both sides )

24x = 384 ( divide both sides by 24 )

x = 16

Answer:

x = 15

Step-by-step explanation:

The sum of angles in a triangle is 180deg.

Let's mark the measures of the internal angles as A, B and C.

We know that

A + B + C = 180deg

180deg - A + 180deg - B + 180deg - C = (9x + 1)deg + (5x + 12)deg + (10x - 37)deg

3*180deg - (A + B + C) = (24x - 24)deg

540deg - 180deg = (24x - 24)deg

360deg = (24x - 24)deg

360 = 24x - 24

384 = 24x

15 = x

Answer:

2.95

Step-by-step explanation:

edge 2020

p.s. pls mark brainliest, and have a good day! :)

Answer:

Choice A) 0 < x < 18

Step-by-step explanation:

10x = 6x + 20

subtract

4x = 20

solve for x

x = 5

Answer:

2 : 1

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

AC : DF = 8 : 4 = 2 : 1

Answer:

h+w-11

Step-by-step explanation:

Answer:

H+W-11

Step-by-step explanation:

Answer:

19.4

Step-by-step explanation:

We can solve this question using Pythagorean theorem

40^2 = h^2 + 35^2

1600= h^2+ 1225

1600-1225= h^2

375= h^2

h= √375

h = 19.4

Hence the height is 19.4

Answer:

c

Step-by-step explanation:

because the real awnser is 57/4 but simpfly

Answer:

C) [tex]14\frac{1}{4}[/tex]

explanation:

[tex]4\frac{5}{6} +4\frac{2}{3} +4\frac{3}{4} \\\\\frac{29}{6} +\frac{14}{3} +\frac{19}{4} \\\\\frac{58}{12} +\frac{56}{12} +\frac{57}{12} \\\\\frac{171}{12} \\\\14\frac{1}{4}[/tex]

Answer:

-1

Step-by-step explanation:

Since the question LITERALLY stated the slope is -1, the slope is literally -1

Answer:

Step-by-step explanation:

Answer:

B then A

Step-by-step explanation:

Domain is B, range is A.

Answer:

yes this is true.

Supplementary angles always add up to 180°.

Answer:

True

Supplementary angles always add up to 180°

Answer:

Domain is: 0 ≤ n ≤ 75 where n is an integer

Step-by-step explanation:

Answer:

9 plates and mugs

He could buy 9.375

but you cant buy a portion of a plate so you buy 9

Answer:

Step-by-step explanation:

One way to do this is to find the x- and y-intercepts and to plot these:

x-intercept:  Let y = 0:  5x = -2, or x = -2/5, so the x-intercept is (-2/5, 0).  Plot this point.

y -intercept:  Let x = 0:  y = -2, so the y-intercept is (0, -2).  Plot this point.

Finally, draw a line through these two points.

Answer:

Step-by-step explanation:

According to figure,

54° + 3x+36° = 180° [Linear pair]

=> 3x + 90 = 180

=> 3x = 180 - 90

=> 3x = 90

[tex] = > x = \frac{90}{3} [/tex]

=> x = 30 (Ans)

Answer:

x=30

Step-by-step explanation:

cuz that line is 180 degrees and using algebra you can subtract 54 from both sides and get 126 then u have to subtract the 36 from both side to geth 90 and then divide the 3x to get x by itself which would leave u with 30 so x=30

Answer:

A - 23ft

Step-by-step explanation:

Pythagorean theorem: 12^2 + 20^2 = X^2.

X^2 = 544. X = sqrt(544) which is around 23ft

Answer:

D 70

Step-by-step explanation:

Hello there!

A triangle formed inside of a circle using the diameter ( segment RQ ) is a right triangle

Meaning that the angle across from the hypotenuse ( diameter ) is a right angle ( = 90 degrees )

That being said we are given two angles (90 and 20 ) so we can easily calculate the measure of the missing angle

Remember the sum of the angles in a triangle is equal to 180 so we can find the missing angles by subtracting the given angles ( 90 and 20 in this case ) from 180

angle PRS = 180 - 90 - 20

180 - 90 = 90

90 - 20 = 70

Therefore your answer is D. 70

Answer:

how should we help?

Step-by-step explanation:

Answer:

dang that sucks..... try and play music at max vol and see if you hear any music coming from anywhere that's probably were the airpods are, if they are in the case then i dont know if u would hear anything. It all depends...

~ i hope this has helped ya out some how, hope ya find your airpods my friend!~

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

a = integer/whole number

Any whole number divided by 0 is 0.

0 is an integer/whole number.

Answer: $15,700 - $24,322= 8622

Step-by-step explanation:

All you have to do is subtract

Answer:

x=cb-ad/bd

Step-by-step explanation:

The statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd

Given nonzero integers:

a, b, c, d

a/b + x

a/b + x = c/d

prove x to be a rational number

a/b + x = c/d

a/b + x - a/b = c/d - a/b

x = c/d - a/b

x = (cb - ad) / bd

Therefore, the statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd

Learn more about rational number:

https://brainly.com/question/12088221