PLZ HELP
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.

Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p − m∠o = 90 degrees (alternate interior angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p
Step 4: So, m∠m + m∠n = m∠p

In which step did the student first make a mistake and how can it be corrected? (4 points)

a
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles)

b
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)

c
Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles)

d
Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)

I think its c

Answer:

a) 10 percent of 800,000 is 80,000

80,000*3=240,000

They will allow a discount of 240,000, making the price 560,000.

b) 10 percent of 1,000,000 is 100,000

100,000*3=300,000

They will allow a discount of 300,000, making the price, 700,000.

Answer:

c

Step-by-step explanation:

because like it would happen in real life yk and the others dong make sense at all

tell me if its right

Answer:

c)scene

according to me

(r-5)(r+4)

(x+6)(x+2)

Step-by-step explanation:

1 r^2 - 1 r - 20

multiply the first and third terms

-20 times 1 equals -20. take the -1

*what are two numbers that multiply together that equals -20 but add to equal -1?

-5 times 4 equals -20

-5 plus 4 equals -1

(r-5)(r+4)

1 x^2 + 8 x + 12

multiply the first and third terms

12 times 1 equals 12. take the 8

*what are two numbers that multiply together that equals 12 but add to equal 8?

6 times 2 equals 12

6 plus 2 equals 8

=(x+6)(x+2)

the slop of the line is 2/3, you always have to put x on denominator and y is numerator

Answer:

if my math is correct it is $4.39

Step-by-step explanation: do not fully trust this

Answer:

130 bc its the alternate exterior angle of angle D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

interior angle for triangle is 180 if you want to find it you have to find interior angle for d and then 180-70-the interior angle for d and then you will get answer for b2 and then 180-b2 and you will get 120

Answer:

1

Step-by-step explanation:

17+(-8)+(-8)

9+(-8)

1

Answer:

y=12/10-15.6

Step-by-step explanation:

The slope of the line is [tex]-\frac{6}{5}[/tex].

To understand more, check below explanation.

The slope of line passing through [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] is computed as,

                    [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Given that , points are (-8, -6) and (-18, 6)

So that,

               [tex]Slope=\frac{6-(-6)}{-18-(-8)}\\ \\Slope=\frac{12}{-10}\\ \\Slope=-\frac{6}{5}[/tex]

Hence, the slope of the line is [tex]-\frac{6}{5}[/tex].

Learn more about the slope of line here:

https://brainly.com/question/3493733

Answer:

It will pass in between (-8,0) on the x-axis and (0,4) on the y axis

Step-by-step explanation:

Here is the picture, if you ever need help go to desmos.com.

Answer:

15

Step-by-step explanation:

5g

g becomes 3, so 5*3

=15

Answer:

15

Step-by-step explanation:

5g g=3

5(3)

15

Answer:

(a) 0.288 kg/liter

(b) 0.061408 kg/liter

Step-by-step explanation:

(a) The mass of salt entering the tank per minute, x = 0.2 kg/L × 5 L/minute = 1 kg/minute

The mass of salt exiting the tank per minute = 5 × (5 + x)/500

The increase per minute, Δ/dt, in the mass of salt in the tank is given as follows;

Δ/dt = x - 5 × (5 + x)/500

The increase, in mass, Δ, after an increase in time, dt, is therefore;

Δ = (x - 5 × (5 + x)/500)·dt

Integrating with a graphing calculator, with limits 0, 10, gives;

Δ = (99·x - 5)/10

Substituting x = 1 gives

(99 × 1 - 5)/10 = 9.4 kg

The concentration of the salt and water in the tank after 10 minutes = (Initial mass of salt in the tank + Increase in the mass of the salt in the tank)/(Volume of the tank)

∴ The concentration of the salt and water in the tank after 10 minutes =  (5 + 9.4)/500 = (14.4)/500 = 0.288

The concentration of the salt and water in the tank after 10 minutes = 0.288 kg/liter

(b) With the added leak, we now have;

Δ/dt = x - 6 × (14.4 + x)/500

Δ = x - 6 × (14.4 + x)/500·dt

Integrating with a graphing calculator, with limits 0, 20, gives;

Δ = 19.76·x -3.456 = 16.304

Where x = 1

The increase in mass after an increase in = 16.304 kg

The total mass = 16.304 + 14.4 = 30.704 kg

The concentration of the salt in the tank then becomes;

Concentration = 30.704/500 = 0.061408 kg/liter.

Calculating the salt concentration per liter of water we will find:

(a) [tex]0.288 kg/liter[/tex]

(b) [tex]0.061408 kg/liter[/tex]

The mass of salt entering the tank per minute:

[tex]X= (0.2)( 5) = 1 kg/minute[/tex]

The mass of salt exiting the tank per minute:

 [tex]\frac{5 * (5 + x)}{500}[/tex]

The increase per minute, Δ/dt, in the mass of salt in the tank is given as follows;  

[tex]\frac{\Delta}{dt} = \frac{x - 5 * (5 + x)}{500}[/tex]

The increase, in mass, Δ, after an increase in time, dt, is therefore;

[tex]\Delta = (x - 5 * (5 + x)/500)dt[/tex]

Integrating with a graphing calculator, with limits 0 at 10, gives;  

[tex]\Delta = (99X - 5)/10[/tex]

Substituting x = 1 gives:

[tex](99)( 1 - 5)/10 = 9.4 kg[/tex]

The concentration of the salt and water in the tank after 10 minutes = (Initial mass of salt in the tank + Increase in the mass of the salt in the tank)/(Volume of the tank). The concentration of the salt and water in the tank after 10 minutes:

[tex](5 + 9.4)/500 = (14.4)/500 = 0.288[/tex]

The concentration of the salt and water in the tank after 10 minutes = 0.288 kg/liter.

(b) With the added leak, we now have;

[tex]\frac{\Delta}{dt} = \frac{ (x - 6 ) (14.4 + x}{500} \\\Delta = \frac{(x - 6)(14.4 + x)}{500} dt[/tex]

Integrating with a graphing calculator, with limits 0 at 20, gives;

[tex]\int\limits^{20} _0 {\frac{(x - 6)(14.4 + x)}{500} dt}[/tex]

Where x = 1:

[tex]\Delta = 19.76(1) -3.456 = 16.304[/tex]

The increase in mass after an increase in = 16.304 kg. The total mass:

[tex]16.304 + 14.4 = 30.704 kg[/tex]

The concentration of the salt in the tank then becomes;

[tex]30.704/500 = 0.061408 kg/liter[/tex]

Learn more: brainly.com/question/11762787

Answer:

8 days

Step-by-step explanation:

Answer:

3x^2-5x-2

Step-by-step explanation:

(9x^3-18x^2-x+2)÷(3x-1)

[9x^2(x-2)-(x-2)]÷(3x-1)

[(x-2)×(9x^2-1)]÷(3x-1)

(x-2)×(3x-1)×(3x+1)÷(3x-1)

(x-2)×(3x+1)

3x^2-x-6x-2

3x^2-5x-2

Answer:

210

Step-by-step explanation:

According to this question, y varies directly with x. Mathematically, This means that:

y =kx

Where k is the constant variable

If y=30 and x=0.75, then k will be;

k = y/x

k = 30/0.75

k = 40

Since k = 40,

y = 40x

Therefore, when x=5.25, the value of y will be:

y = 40x

y = 40 × 5.25

y = 210.

Answer:

44

Step-by-step explanation:

You said it

Answer:

283.75

Step-by-step explanation:

  525/4=131.25

131.25+110=241.25

525-241.25=283.75

Answer:

17

Step-by-step explanation:

5.50 + 1.25 = 6.75

20 - 6.75 = 13.25

13.25 / .75 = 17

he will have $0.50 left

Answer:

I know about your account Logridio.  I don't know if I should tell Ms. Rragami. ;)

Answer:

100 meters  20/5=100

Not sure about the second one

hope this helps

Step-by-step explanation:

Step-by-step explanation:

independent is questions answered correct

dependent is final test sore.

i think

Answer:

b = 3/4

Step-by-step explanation:

Using point slope: y - y1 = m(x - x1).

Substitute your given slope, given point, and subsitute 0 in for x and solve for y since the y intercept is the y value when x = 0.

0.2 = 1/5, so 1/5 * 1/4 = 1/20

Therefore: y - 4/5 = 1/4(0 - 0.2) → y - 4/5 = -1/20 → y = 4/5 - 1/20 → 15/20 → 3/4

b = 3/4

Using point slope: y - y1 = m(x - x1).

Substitute your given slope, given point, and subsitute 0 in for x and solve for y since the y intercept is the y value when x = 0.

0.2 = 1/5, so 1/5 * 1/4 = 1/20

Therefore: y - 4/5 = 1/4(0 - 0.2) → y - 4/5 = -1/20 → y = 4/5 - 1/20 → 15/20 → 3/4

Answer: One line has a positive slope, and the other has a negative slope.

Step-by-step explanation: When lines are perpendicular, that means their slopes are the exact opposite of each other because they intersect at a right angle.

Answer:

x=7

Step-by-step explanation:

divide both sides by two. distribute on the left side. minus 9x on both sides. add 4 on both sides, and you get 7.

Answer:

x = 7

Step-by-step explanation:

Firstly, use the distributive property to distribute the 4 and the 2 respectively.

[tex]4(5x-2) = 2(9x+3)[/tex]

[tex]20x-8=18x+6[/tex]

Then, isolate the variable. Start by subtracting 18x from both sides.

[tex]2x - 8 = 6[/tex]

Add 8 to both sides.

[tex]2x = 14[/tex]

Divide both sides by 2.

[tex]x=7[/tex]

Answer:

21n-35

Step-by-step explanation:

6n+5(10n-7)

distribute 5

6n+15n-35

add 6 and 15

21n-35

you cant subtract 21 and -35 because they arent like terms

Answer:

6

Step-by-step explanation:

Add − 9 and 6.

[tex]- 5 - 2x, -3[/tex]

Answer:

y=2x +14

Step-by-step explanation:

y-8 = 2x + 6

y = 2x + 6 + 8

y= 2x + 14

Answer:

yes it is

Step-by-step explanation:

Answer:It Is correct

Step-by-step explanation: