What is the measure of ACE in the diagram below?

A. 46
B. 104
C. 29
D. 58

Answer: the elementary 45

Step-by-step explanation: if you need anything else let me know

i guess it is hexagonal pyramid

as it has 7 verticies

Answer:

Step-by-step explanation:

Slope intercept form :  y - y1 = m(x -x1)

m = 3/2

(x1, y1) = (6, 1)

[tex]y - 1 = \frac{3}{2}(x - 6)\\\\y -1 = \frac{3}{2}*x -\frac{3}{2}*6\\\\y-1=\frac{3}{2}x-3*3\\\\y-1=\frac{3}{2}x-9\\\\y=\frac{3}{2}x-9+1\\\\y=\frac{3}{2}x -8[/tex]

Answer:

y=3/2 x  -8

Step-by-step explanation:

The slope should be in front of the x and the y intercept should be right after the x to create the slope intercept form. I used a graphing calculator which continued the line of 6,1 with a slope of 3/2 and then got

y=3/2x-8

Answer:

(x,y) -> (x, -y)

Step-by-step explanation:

This is a reflection about the x-axis.

Algebraically, it can be represented by:

(x,y) -> (x, -y)

since the position along the x-axis does not change, and the y-coordinates are flipped about the x-axis, therefore flipped in sign.

Answer:

Step-by-step explanation:

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Apr 15, 2020 - Find an answer to your question Find the algebraic representation of the reflection below. a. (-x ,y) b. ( x,-y) c. (-x ,-y) d. ( y,x )

Answer:

First person ate 2.1 pounds and second person ate 4.8 pounds

Step-by-step explanation:

First we find the common denominator. So 3/5=12/20. 12/20+3/20+15/20. That means that 5/20=1.5 lb. So 1/20=.3 pounds. So person number one ate .9+1.2=2.1 pounds of candy and person number two ate 4.5+.3=4.8

Answer:

(20-3x)/2 GB

Explanation:

Total amount of data on my computer = 10GB

Total amount of data occupied by movies = x GB

If pictures take up half the amount of space that movies do, then;

Total amount of data occupied by pictures = 1/2 of space occupied by movies = 1/2 x

If the remaining are music, the amount of space occupied by music will be expressed as shown;

Total space -(space occupied by movies + space occupied by pictures)

= 10 - (x+1/2 x)

Total amount of data occupied by music = 10 - (x+1/2 x) GB

On simplification;

= 10 - (x+1/2 x)

= 10-{(2x+x)/2}

= 10 - {3x/2}

= (20-3x)/2 GB

Hence, amount of gigabytes of music stored on my computer is expressed as (20-3x)/2 GB.

Answer:

3 1/3 times b

Step-by-step explanation:

= 3 1/3

Answer:

x ≤ -1

Step-by-step explanation:

Answer:

a. m<A = 35°

b. m<CBD = 61°

c. m AD is  sin55 = AD/40     AD = 32.77

d. m BC is sin 29 = 22.94/BC   BC = 47.32

e. m CD is tan 29 = 22.94/CD    CD = 41.38

f. m BD is cos 55 = BD/40    BD = 22.94

Step-by-step explanation:

The solution is,

a. m<A = 35°

b. m<CBD = 61°

c. m AD is  sin55 = AD/40     AD = 32.77

d. m BC is sin 29 = 22.94/BC   BC = 47.32

e. m CD is tan 29 = 22.94/CD    CD = 41.38

f. m BD is cos 55 = BD/40    BD = 22.94

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given figure, we get,

a) ∠D = 90

i.e.  ∠A= 90 - 55 = 35

b)  similarly,

∠CBD = 90-29

          =61

c) m AD is  sin55 = AD/40

i.e.  AD = 32.77

d) m BC is sin 29 = 22.94/BC  

i.e.  BC = 47.32

e)  m CD is tan 29 = 22.94/CD    

   i.e. CD = 41.38

f) m BD is cos 55 = BD/40  

  i.e. BD = 22.94

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Hey there! I'm happy to help!

First, we arrange the numbers from least to greatest.

26,29,31,31,32,37,43

The median here is 31 because it is the middle number. The three numbers before it is one half of it and the last 3 numbers are their own half, because you cannot split the 31 between the two halves.

Now, we want to find the first quartile. This is basically the media of the first half of numbers. So, our first half consists of 26,29, and 31.

The middle number of this first half is 29.

So, our Q1 (first quartile) is 29.

Now, for the third quartile. We do the exact same thing here but with the second half.

32,37,43

Looking at this, our Q3 is 37

The interquartile range is how far apart Q1 and Q3 are, so to find it, we subtract our Q1 from the Q3.

37-29=48

Therefore, our IQR is 8.

Congratulations! Now you can find the IQR of a data set! Have a wonderful day! :D

Answer:

8

Step-by-step explanation:

You first put the numbers in order. Then you find the median(in this case, 31) and after that you find the Q1 and Q3(think of Q1 as the median of the lower half and Q3 as the mdian of the upper half.) Subtract Q1 from Q3, in this case, 37-29=8. 8 is the IQR or the interquratile range.

The correct option is A. The equation in point-slope form for the line perpendicular to y = -2x + 8 and passing through (-3, 9) is: y - 9 = 1/2(x + 3).

To find the equation of a line perpendicular to y = -2x + 8 that passes through the point (-3, 9), we need to determine the slope of the perpendicular line.

The given equation is in slope-intercept form, y = mx + b, where m represents the slope. In this case, the slope of the given line is -2.

Since the perpendicular line has a slope that is the negative reciprocal of -2, we can determine its slope as 1/2.

Now that we have the slope (1/2) and a point (-3, 9) on the line, we can use the point-slope form of a line to write the equation:

y - y₁ = m(x - x₁)

where (x₁, y₁) is the given point and m is the slope.

Plugging in the values, we get:

y - 9 = 1/2(x - (-3))

Simplifying:

y - 9 = 1/2(x + 3)

Rearranging to match the given options:

y - 9 = 1/2(x) + 3/2

The equation in point-slope form for the line perpendicular to y = -2x + 8 and passing through (-3, 9) is:

y - 9 = 1/2(x + 3)

Therefore, the correct option is A.

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Complete question is below

Identify an equation in point-slope form for the line perpendicular to

y=-2x+ 8 that passes through (-3,9).

A. y - 9 = 1/2(x+3)

B. y+3 = 3(x-9)

C. y - 9 = (x + 2)

D. y + 9 = 1/2(x – 3)

Answer:

a. 51

Step-by-step explanation:

[tex]t_{n} =a+(n-1)d[/tex]

201 = 1 + (n - 1)4

200 = (n - 1)4

50 = n - 1

51 = n

Answer:

I need the numbers

Step-by-step explanation:

Answer:

m∠MNP = (x – y)

m∠MNP = (x + y)

m∠MNP = (z + y)

m∠MNP = (z – y)

Answer:

B. AD = sqrt(CD * BD)

Step-by-step explanation:

By the right triangle altitude theorem,

CD/AD = AD/BD

AD^2 = CD * BD

AD = sqrt(CD * BD)

Answer: B. AD = sqrt(CD * BD)

Answer:

B

Step-by-step explanation:

[tex]$\frac{CD}{AD} =\frac{AD}{BD} $[/tex]

[tex]AD^2=CD \cdot BD[/tex]

[tex]AD=\sqrt{CD \cdot BD}[/tex]

In this question, you are clearly supposed to use the geometric mean theorem or known as the right triangle altitude theorem. But note that there are other approaches to find the height of the triangle.

Using Pythagorean theorem:

[tex]AD^2+CD^2=AC^2 \Rightarrow AD=\sqrt{AC^2-CD^2}[/tex]

Also,

[tex]AD=AC\sin(c)[/tex]

Answer:

C) g(x) is stretched vertically by a factor of 3 and translated to the right 7 units compared to ƒ(x).

Step-by-step explanation:

Notice that by transforming  [tex]f(x)=log_5\,(x)[/tex]  into [tex]g(x)=3\,log_5\,(x-7)[/tex] we have performed the following transformations:

a) a horizontal shift to the right 7 units by subtracting 7 from the x-variable, and

b) stretching the full function vertically by a factor of 3, by multiplying the full function by 3.

Therefore, our answer matches answer C in the list of possible options

Answer:choice one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I did the test

Answer:

if they vary together then y would be 2

Step-by-step explanation:

since they vary together 5 multiplied by 3 is 15 so you would divide 6 by 3 to get 2 the z is irrelevant because it has no relation to x or y

Answer:

The distance of the midpoint of AB = 4 cm

The distance of the midpoint of CD = 28 cm

Step-by-step explanation:

The given information are;

Segment AD = 36

Point C and point B are points on AD such that AB:BC:CD = 2:3:4

Which gives;

The proportion of AB in AD = 2/(2+3+4) = 2/9

The length of AB = 2/9×36 = 8 cm

The proportion of BC in AD = 3/(2+3+4) = 3/9

The length of AD = 3/9×36 = 12 cm

The proportion of CD in AD = 3/(2+3+4) = 4/9

The length of AD = 4/9×36 = 16 cm

The coordinate of the midpoint of AB = 8/2 = 4 cm from A

The distance of the midpoint of AB = 4 cm

The coordinate of the midpoint of CD = 8 + 12 + 16/2 = 28 cm from A

The distance of the midpoint of CD = 28 cm.

Answer:

I plotted them for you!

The first dot (closest to the left) is 1 1/3 and the one closest to the right is 2 7/9 :)

Step-by-step explanation:

Hope this helped :) good luck!

Answer:

f(x)=−5x−20

Step-by-step explanation:

It's decreasing 5 degrees every hour, which is represented by -5x

You also have to take away the 20 (-20) from where it started.

So, f(x)=−5x−20

Answer:

f(x) = -5x - 20

Step-by-step explanation:

f(x) = starting temperature + decreasing temperature * number of hours

      = -20 + (-5) * x

      = -20 - 5x

Answer:

50mph

Step-by-step explanation:

Speed=v

time=t

distance=s

v=s/t

v=300m/6h

v=50mph

Let me know if my answer is wrong.

Hope this helps :) ❤❤❤

Answer:

[tex]\boxed{Speed = 50 miles/hr}[/tex]

Step-by-step explanation:

Given:

Distance = S = 300 miles

Time = t = 6 hours

Required:

Average Speed = v = ?

Formula:

Average Speed = Total Distance Covered / Total Time Taken

Solution:

v = S/t

v = 300 miles / 6 hours

v = 50 miles/hr

Answer:

variation constant = k = 8

equation of variation : y = 8x

Step-by-step explanation:

Any relationship of variation can be written as y = kx

where k is the variation constant.

_______________________________________

Let the equationof relation between y and x be y =kx here as well

given

y = 16 when x = 2

substituting this value in the equation y = kx

16 = k*2

=> k = 16/2 = 8

Thus,

variation constant = k = 8

equation of variation : y = 8x

The answer is in the picture

Answer:

..

-10 + 8× 119

= -10 + 952

= 942. .....

Answer:

236 (i think)

Step-by-step explanation:

cuz 0-10= -10+8= -2 X 119=236   (sorry if you cant read this my keyboard sucks

Explanation:

OQ = 10 is the radius, and so is segment RO. Both are the same length as they are the radii of the same circle. Triangle ORP has a leg of RO = 10 and a hypotenuse of PO = 26. The unknown side is PR = x.

Use the pythagorean theorem. We can use this theorem because the tangent formed (at point R) creates a 90 degree angle.

a^2 + b^2 = c^2

(PR)^2 + (RO)^2 = (PO)^2

x^2 + 10^2 = 26^2

x^2 + 100 = 676

x^2 = 676 - 100

x^2 = 576

x = sqrt(576) ... apply square root

x = 24

=============================================

Explanation:

Note that m + 1/m and m^2 + 1/(m^2) are very similar. If we square (m + 1/m), then we end up with something in the form (a+b)^2 = a^2 + 2ab + b^2, where a = m and b = 1/m. The 2ab portion is equal to 2*m*(1/m) = 2 which allows us to isolate m^2 + 1/(m^2) fully.

The steps below show this

[tex]m + \frac{1}{m} = \sqrt{71}\\\\\left(m + \frac{1}{m}\right)^2 = \left(\sqrt{71}\right)^2\\\\m^2 + 2*m*\frac{1}{m} + \frac{1}{m^2} = 71\\\\m^2 + 2 + \frac{1}{m^2} = 71\\\\m^2 + 2 + \frac{1}{m^2} - 2 = 71-2\\\\m^2 + \frac{1}{m^2} = 69\\\\[/tex]

-------------

Alternatively, you can isolate m in the equation [tex]m + \frac{1}{m} = \sqrt{71}[/tex] to get two irrational solutions. Plug either solution into m^2 + 1/(m^2) and you should get the same result as above.

Answer:

4. x=120

5. x=65

9. x=150

10. x=45

Step-by-step explanation:

4. Half=180

There is already a 60, so you do 180-60=120. x=120.

5. This is a parallel line, so you determine the opposite angle of 115, which is 65. That just becomes the x. x=65

9. It is similar to #5, You look at the opposite side of 30 (15+15) which is 150. That just comes to the other side which is x=150.

10. A triangle has 180 degrees in total. 45 degrees is already given, and line j is 90 degrees which means a full line is 180. 180-90=90.

90+45=135

180-135=45

x=45

Hope this helped!

Answer:

4. x=120

5. x=65

9. x=150

10. x=45

Step-by-step explanation:

4. Half=180

There is already a 60, so you do 180-60=120. x=120.

5. This is a parallel line, so you determine the opposite angle of 115, which is 65. That just becomes the x. x=65

9. It is similar to #5, You look at the opposite side of 30 (15+15) which is 150. That just comes to the other side which is x=150.

10. A triangle has 180 degrees in total. 45 degrees is already given, and line j is 90 degrees which means a full line is 180. 180-90=90.

90+45=135

180-135=45

x=45

Amount of the job done after 2 hours:

2(1/6 + 1/8)

2(4/24 + 3/24)

2(7/24)

7/12 (amount of job finished)

.

amount of job left to do:

1 - 7/12

12/12 - 7/12

5/12 (remaining)

.

Let x = time (hours) slower press takes to finish job

then

x(1/6) = 5/12

multiplying both sides by 6:

x = 5/12 *6

x = 5/2 hours

or

x = 2 hours and 30 minutes

The slower press (8-hour press), will take h 3 hours, 20 minutes to complete the job