Determine whether the following graph is a direct variation. Explain how you came to your conclusion. I know it's a directly proportional
but i dont know how to explain it

Answer:

∠ ADC = 110°

Step-by-step explanation:

∠ CDE = 90° ( angle between perpendicular lines ) , then

∠ CDB + ∠ BDE = 90°

∠ CDB + 20° = 90° ( subtract 20° from both sides )

∠ CDB = 70°

∠ ADC and ∠ CDB are adjacent angles on a straight line and sum to 180° , so

∠ ADC + ∠ CDB = 180° , that is

∠ ADC + 70° = 180° ( subtract 70° from both sides )

∠ ADC = 110°

Answer:

Remainder=35.25

Quotient = 2x²+8x+10.7

Answer:

[tex]x>-28[/tex]

Step-by-step explanation:

Given the following question:

[tex]-x\div4<7[/tex]

In order to find the answer, we have to isolate the variable by multiplying four on both sides.

[tex]\frac{-x}{4} <7[/tex]
[tex]\frac{-x}{4} =x\times4[/tex]
[tex]7\times4=28[/tex]
[tex]-x>28[/tex]
[tex]-x\times-1=x[/tex]
[tex]28\times-1=-28[/tex]
[tex]x>-28[/tex]

Hope this helps.

Answer:

x>-28

Step-by-step explanation:

First to cancel out the fraction times the whole fraction by the denominator 4 AND the 7 then multiply 7*4=28

This leaves you with

-x<28

To get rid of the -x divide both sides of the inequality by -x, This also changes the sign of the inequality to > Because you are Dividing both sides of the inequality

Negative/Negative =positive

Positive/Negative =Negative

So, You get
x>-28

For simplifying this fraction, let first consider it as

[tex]{:\implies \quad \sf \dfrac{x}{y}-1}[/tex]

If we take LCM, and simplify it further, we will be having ;

[tex]{:\implies \quad \sf \dfrac{x\cdot 1-1\cdot y}{y}}[/tex]

[tex]{:\implies \quad \boxed{\bf{\dfrac{x-y}{y}}}}[/tex]

This is the required answer

Answer:

They are similar because both triangles are the same. Triangle ABC is just smaller than triangle ADE.

Answer:

9

Step-by-step explanation:

I need to write 20 characters

Answer:

C

Step-by-step explanation:

Let's assume the number is x.

Negative means a minus or subtraction.

Decrease also means a minus or subtraction.

Three times the number which we have assumed to be x will be: 3*x=3x

The answer:

-13 - 3x

Answer:

12/30

Step-by-step explanation:

See the picture and let me know if you have any questions

Answer:

42

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Let's rewrite all three equations is standard slope-intercept format of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).

Line a: -x+2y=3

                 2y = x + 3

                  y = (1/2)x + 3

Line b: -6x=3y-1

             -3y = 6x - 1

               y = -2x + (1/3)

Line c: 4x-8y=5

              -8y = -4x + 5

                y = (1/2)x - (5/8)

Parallel lines have the same slope (m).  Perpendicular lines have slopes that are the negative inverse (-1/m)of each other.

Slopes, m, for the lines are;

The negative inverse of (1/2) is -2.

Lines a and c are parallel (same slope)

Line b is perpendicular since it's slope is the negative inverse of both a and b (-1/(1/2)) = -2

Answer:

The answer is 2y -1 over 3y+1 ( last multiple choice)

Step-by-step explanation:

- move the y's beside the 3 and 2 to get rid of the 1/y fraction

Answer:

a. (2c+1b)-1w

b. monomial

Step-by-step explanation:

Answer:

How to find the mode

Step-by-step explanation:

First, put the numbers in order from lowest to highest. The number that shows up the most is the mode. The most common number is 5.

Your mode would be 5.

Good luck :)

Given :-

To Find :-

Solution :-

Here the initial cost is Rs 3500 and the new cost is Rs 3200. So the decrease in its price is ,

→ Decrease = Rs 3500 - Rs 3200

→ Decrease = Rs 300

Now we may find the % change in its price by ,

→ Decrease in cost/Initial cost * 100 %

→ Rs 300 /Rs 3500 * 100 %

→ 8.57%

Hence the price is decreased by 8.57% .

I hope this helps.

Answer:

Decreased Percentage is 8.57 %

Step-by-step explanation:

Given:

Cost of cell phone = Rs. 3500

Cost after decreased in price Rs. 3100

To find:

Decreased percentage

Decreased Amount =

3500 - 3100

= Rs. 300

Decreasee Percentage =

[tex]\frac{decreased \: \: amcount}{initial \: \: cost} \times 100 [/tex]

[tex] = \frac{300}{3500} \times 100[/tex]

[tex] = \frac{300}{35} [/tex]

= 8.57%

Answer:

-5

Step-by-step explanation:

when x is squared it will always be positive so x can be negative or positive

Answer:

Step-by-step explanation:

Tangents drawn to the circumference of a circle are equal.

x^2 + 8 = 33                      Subtract 8 from both sides

x^2+8-8 = 33 - 8               Combine

x^2 = 25                            Take the square root of both sides.

√x^2 = √25

x = ± 5

So x = 5.

x can also be - 5. The minus goes away when you calculate x^2

because x is squared, you can get two answers, but be very careful when doing geometry questions that the minus number is used in such a way that only a positive value will be left.

Answer:

9.9 millimeters

Step-by-step explanation:

To find the perimeter of a square,

Equation: 4 • length = P

So in this case, we're just working backwards. To find the length, divide.

39.6/4 = 9.9

Answer:

9.9 mm

Step-by-step explanation:

let [tex]x[/tex] = length of one edge of the square

perimeter of a square = 4[tex]x[/tex]

⇒ 39.6 = 4[tex]x[/tex]

⇒ [tex]x[/tex] = 39.6 ÷ 4 = 9.9 mm

Answer:

a. 7/25

b. 24/25

c. 24/25

d. 7/25

e. 7/24

f. 24/7

Step-by-step explanation:

sin is opposite/hypotenuse.

cos is adjacent/hypotenuse.

tan is opposite/adjacent.

Plug in the formulas to get find the ratios.

Answer:

Each coffee is $6

Step-by-step explanation:

So she bought a cupcake so 35-5=30

Divide 30 by 5 and you get 6.

Answer:

49

Step-by-step explanation:

I would add the tens place and ones place together. The tens place; is 30+10 (From the 3 and 1 in the tens place) and 5+4, which is 40+9, which is 49.

Experimental probability of the arrow of spinner (rotated 80 times) stopping over Section 1 is one fourth or 0.25.

Experimental Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event during the experiment.

Given information-

Total number of sections in a spinner is 3.

Total number of times the trials done is 80.

The three section table given in the problem has the values as,

The experimental probability of the arrow stopping over Section 1 has to be find out.

As the experimental probability of an event is the ratio of number of times it took place to the total trails. Thus the experimental probability of the arrow stopping over Section 1 is,

[tex]P=\dfrac{20}{80}\\P=\dfrac{1}{4}\\P=0.25[/tex]

Thus experimental probability of the arrow of spinner (rotated 80 times) stopping over Section 1 is one fourth or 0.25.

Learn more about the experimental probability here;

https://brainly.com/question/8652467

Answer:

1/m^5

Step-by-step explanation:

express with a positive exponent using x^-n = 1/x^n

Answer:

[tex]c)\: \cfrac{1}{m^5}[/tex]

Step-by-step explanation:

[tex]m^{-5}[/tex]

Apply the exponent rule:

[tex]m^{-5}[/tex]

[tex]\cfrac{1}{m^5}[/tex]

Hope it helps! :)

Answer:

if the tip is 20% and 7%, it means that the meal MUST cost less than 32.85.

the reason behind this is that if we have $45 to spend it means that each 1% is 0.45 and 0.45x27=12.15 meaning that if we subtract this from $45 we get 32.85.

Now we have already spent $14 on our drink and appetizer so 32.85-14=18.85 we can only spend 18.85 on our meal

Answer:

  T'''(2, 6)

Step-by-step explanation:

The transformations used in this problem are ...

  (x, y) ⇒ (-x, -y) . . . . . rotation 180° about the origin

  (x, y) ⇒ (x +h, y +k) . . . . translation h right and k up

  (x, y) ⇒ (y, x) . . . . . . reflection over the line y=x

__

Applying these transformations to point T(-5, -4), we have ...

1.  T(-5, -4) ⇒ T'(5, 4)

2. (h, k) = (1, -2), so we get ...

  T'(5, 4) ⇒ T"(5 +1, 4 -2) = T"(6, 2)

3. T"(6, 2) ⇒ T'''(2, 6) . . . . straightforward application of the separate transformations

Answer:

30 days

Step-by-step explanation:

she starts with $5, so she needs $25 more to have $30.

if she saves $5 ever six days, she needs to do this five times to reach $30.

6*5=30

good luck :)