What is the linear inequality that represents the graph shown?​

Answer:

[tex]AD = 6[/tex], [tex]DC = 14[/tex], [tex]\angle A = 114^{\circ}[/tex], [tex]\angle B = 66^{\circ}[/tex], [tex]\angle C = 114^{\circ}[/tex]

Step-by-step explanation:

From Euclidean Geometry, parallelograms satisfy the following properties:

1) [tex]\angle A = \angle C[/tex], [tex]\angle B = \angle D[/tex]

2) [tex]\angle A +\angle D = \angle D + \angle C = \angle C +\angle B = \angle A+\angle B = 180 ^{\circ}[/tex]

3) [tex]AD = BC[/tex], [tex]AB = DC[/tex]

By 3):

[tex]AD = 6[/tex]

By 3):

[tex]DC = 14[/tex]

By 2):

[tex]\angle A = 180^{\circ}-\angle D[/tex]

[tex]\angle A = 180^{\circ}-66^{\circ}[/tex]

[tex]\angle A = 114^{\circ}[/tex]

By 1):

[tex]\angle B = 66^{\circ}[/tex]

By 1):

[tex]\angle C = 114^{\circ}[/tex]

Answer:

The graduate will have $4,084.97 when he cashes in the CD at the end of the 36-months.

Step-by-step explanation:

This can be determined using the formula for calculating the future value (FV) formula as follows:

FV = PV * (1 + r)^n ................................. (1)

Where;

FV = Future value or the amount the graduate will have at end of 36 months = ?

PV = Present value or the total amount invested = Cash gifts from friends and relatives + Amount of 3 scholarships he received = $900 + $250 + $300 + $1,400 = $2,850

r = daily interest rate = 1% / 360 = 0.01 / 360 = 0.0000277777777777778

n = number of days = 36 months * 360 days = 12,960

Substituting the values into equation (1), we have:

FV = $2,850 * (1 + 0.0000277777777777778)^12,960

FV = $2,850 * 1.43332224806396

FV = $4,084.96840698229

Approximating to the nearest cent as required, we have:

FV = $4,084.97

Therefore, the graduate will have $4,084.97 when he cashes in the CD at the end of the 36-months.

Answer:

A

Step-by-step explanation:

Okay so, im not the best at explaining, but so we have a percentage. its 25%. you want to take the 25% and put it over 100 because a percentage is a number or ratio expressed as a fraction of 100. so it will be written as 25%/100

divide 25 by 100 and you get 0.25, correct? so that's one step further towards the answer.

then we write x/90 because we don't know (well we do) what we're gonna put. but, we're gonna multiply 0.25 by 90 and we get 22.5, which is equivalent to 22.50.

Answer:

each van can transport 15 students

Step-by-step explanation:

186 divied by 2 and you get 93 then you divied that by 6 and you get 15.5 you cant have .5 sutdents on a van so you round down and get 15 students.

Answer:

Rs.18

Explanation:

[tex]T= 6 months = 1/2 year[/tex]

[tex]R=6[/tex]%

[tex]TD=\frac{BD(100)}{100+TR} = \frac{18.54(100)}{100+((\frac{1}{2}) 6)}=Rs.18[/tex]

Answer:

(1, 4)

Step-by-step explanation:

subsitute y=x+3 into the 2nd equation, which you will get 7x-(x+3)=3

get rid of the (), which you will get 7x-x-3=3

combine like terms and get 6x-3=3

move 3 to the other side and divide both sides by 6 and get x=1

use the first equation y=x+3 and subsitude 1 for x and get y=1+3

y=4

Answer:

12:15

3 goes into both of these numbers so then becomes

4:5

cannot be reduced any further

answer

4:5

Answer:

317

Step-by-step explanation:

496 - 179 = 317. Z = 317.

Answer:

y=-[tex]\frac{1}{2}[/tex]x+[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

First, calculate the slope of the line that is perpendicular to the equation of line we are asked to find

m=(y2-y1)/(x2-x1)

  =(2-(-4))/(-2-1)

  =6/-3

  =-2

in this equation the slope is 2, and to find the first equation, use y=mx+b

use the point (1, -4) to find b

-4=(2)(1)+b

-4=2+b

b=-6

the first equation of the line is y=2x-6

to find the x intercept of that line substitute 0 for y

0=2x-6

2x=6

x=3

the slope of a line perpendicular to this would be the opposite reciprocal of the slope which would be equal to -1/2

for the second equation of the line to pass thorugh the x-intercept of the first line, it must pass through (3, 0), so substitute and solve for b

y=mx+b

0=(-1/2)(3)+b

b=3/2

thus the equation of the line that is perpendicular to the line through (1,-4) and (-2, 2) and passes through the x intercept of that line is y=-[tex]\frac{1}{2}[/tex]x+3/2

The equation of the line that is perpendicular to the line through (1,-4) and (-2,2) is [tex]y= \frac{1}{2}x+3[/tex]

The equation of the line perpendicular to the line passing through the points (x₁, y₁) and (x₂, y₂) is given as:

[tex]y-y_1=\frac{-1}{m} (x-x_1)[/tex]

The slope m is calculated using the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{2-(-4)}{-2-1} \\\\m=\frac{6}{-3} \\\\m=-2[/tex]

For the line passing through the points (1,-4) and (-2,2), substitute m = -2, x₁ = 1, and  y₁ = -4 into the equation [tex]y-y_1=\frac{-1}{m} (x-x_1)[/tex]

[tex]y-1=\frac{-1}{-2} (x-(-4))\\\\y-1=\frac{1}{2}(x+4)\\\\y=\frac{1}{2}x+2+1\\\\y= \frac{1}{2}x+3[/tex]

Learn more on equation of a line here: https://brainly.com/question/13763238

Answer:

2 23/27

Step-by-step explanation:

3 2/3 / 1 2/7

= 11/3 / 1 2/7

= 11/3 / 9/7

= 77/27

= 2 23/27

Hope it helped!

what the other person said

Answer:

2 23/27

Step-by-step explanation:

3 2/3 / 1 2/7

= 11/3 / 1 2/7

= 11/3 / 9/7

= 77/27

= 2 23/27

Answer:

probably 300

Step-by-step explanation:

I have no idea I'm in 6 grade sorry

It might be 2 not 100 percent sure

Answer:

isosceles (based on sides) and right triangle (based on angles)

Step-by-step explanation:

This is an isosceles triangle because two of the sides are the same distance (it is in cm.). This is also a right triangle because at point B the two lines are perpendicular (using their slopes).

Answer:

The answer is,

[tex]x = \frac{4 + \sqrt{19} }{6}, \frac{4 - \sqrt{19} }{3} [/tex]

Answer:

Either one of these.

Step-by-step explanation:

volumepile=1/3 (PI r^2)h

but r=h/2, so

volume=1/12 PI h^3

dv/dt=10 ft^3/min

but dv/dt=1/12 PI 3h^2 dh/dt

solve for dh/dt

This assumes you mean by "altitude" the height. If you mean altitude as slant height, you have to adjust the fromula

_______________________________________________

given: r = h/2

V = (1/3)π r^2 h

= (1/3)π (h/2)^2 (h)

= (1/12) π h^3

dV/dt = (1/4)π h^2 dh/dt

for the given data ...

10 = (1/4)π(25)dh/dt

dh/dt = 10(4)/((25π) = 1.6/π feet/min

Answer:

Two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle. Which congruence theorem can be used to prove that the triangles are congruent? Two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle.

Answer:

it 17971.2 ;)

Step-by-step explanation:

hope it will help you...........

Answer:

There are 3 parts yellow and when mixed with the blue, we end up 5 parts. So its 3 to 5

Step-by-step explanation:

Answer:

3:5

Step-by-step explanation:

I think that it's 3:5 because

Mixed paint:3+2=5

Yellow:3

yellow : mixed paint

3:5

C

Step-by-step explanation:

C is the only one that goes greater and greater

C. [tex]-2\frac{3}{8}[/tex] < -8/6 < -0.85 < 0.8 < 4/3 < 140% in ascending order.

In ascending order we write numbers from smaller to greater and in descending order we write numbers from greater to smaller.

According to the given question we have list of fractions decimals and percentages and we have to write them in ascending order.

given [tex]-2\frac{2}{8}[/tex], - 0.85, 4/3, 140%, -8/6, 0.8.

Now let convert all these into one form we choose to convert them in percentage.

[tex]-2\frac{3}{8}[/tex] is -19/8 = -2.375 = -237.5 %.

-0.85 = - 85%.

4/3 = 133%.

140% = 140%

-8/6 = -133%

0.8 = 80 %.

∴   [tex]-2\frac{3}{8}[/tex] < -8/6 < -0.85 < 0.8 < 4/3 < 140%.

learn more about ascending and descending order here :

https://brainly.com/question/320500

#SPJ2

Answer:

Yes

Step-by-step explanation:

Seven multiply seven =49

Answer:

Mathematics Solutions Solutions for Class 8 Math Chapter 13 Equations In One Variable are provided here with simple step-by-step explanations. These solutions for Equations In One Variable are extremely popular among Class 8 students for Math Equations In One Variable Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Mathematics Solutions Book of Class 8 Math Chapter 13 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Mathematics Solutions Solutions. All Mathematics Solutions Solutions for class Class 8 Math are prepared by experts and are 100% accurate

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{\frac{ \sqrt[4]{ \\ 3} }{ \sqrt[5]{3} } }[/tex]

Note : For a problem like this, all we have to do is Rewrite the problem in exponential form to give us an answer of :

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ {_3}\cfrac{1}{20} }[/tex]

[tex]\therefore[/tex]The correct part of the problem is A) [tex] \bold{ {_3}\cfrac{1}{20} }[/tex]

Step-by-step explanation:

X + 8 = 0

- 8 -8

X = -8

Answer: -8

Answer:

it is 9a+6y+10

Step-by-step explanation:

Answer:

9a+10+6y

Step-by-step explanation:

Answer:

r

Step-by-step explanation:

r

Answer:

Step-by-step explanation:

Here you go mate

Step 1

5x+2=17  Equation/Question

Step 2

5x+2=17  Simplify

5x+2=17

Step 3

5x+2=17  Subtract 2

5x=15

Step 4

5x=15  Divide

answer

x=3

Hope this helps

Answer:

20.34 % of annual net income is spend on food.

Step-by-step explanation:

Amount spend on food = $7104

Annual net income = $ 34,910

We need to find what percent of their annual net income is the amount spend on food.

The Formula used will be:

[tex]Percentage=\frac{Amount\:spend\:on\:food}{Annual\:net\:income}\times 100[/tex]

Putting values of amount spend on food and Annual net income and finding percentage

[tex]Percentage=\frac{7104}{34910}\times 100\\Percentage=0.2034 \times 100\\Percentage=20.34\%[/tex]

So, 20.34 % of annual net income is spend on food.

Answer:

y= -3/5 x -7.2

Step-by-step explanation:

-6 = 6/5 + b

b= - 7.2

Step-by-step explanation:

The magnitude of x is equal or less than 7.

=> We have |x| <= 7.