(02.07)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.

A triangle ABC is shown. The base of the triangle extends into a straight line. The angle formed between this straight line and the edge of the triangle is marked as p. The angle adjacent to p is marked as o, and the other two angles inside the triangle are marked as m and n.

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?

Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles)
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles)
Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)

Question 2 Part 1 Answer: The answer is 3x = y.

Question 2 Part 1 Step-by-step explanation: When you see 2 as [tex]x[/tex] and 6 as [tex]y[/tex], divide [tex]y[/tex] by [tex]x[/tex] and you basically get 3. Do the same thing with 4 as [tex]x[/tex] and 12 as [tex]y[/tex].

Question 2 Part 2 Answer: The answer is [tex]33.\stackrel{-}{3} \%[/tex].

Question 2 Part 2 Step-by-step explanation: Basically, anything divided by three gets a percentage of [tex]33.\stackrel{-}{3} \%[/tex].

Question 2 Part 3 Answer: The answer is 270.

Question 2 Part 3 Step-by-step explanation: You can use proportions to solve this problem or do it by typing the first entry on a graphing calculator (x-intercept is your answer):

[tex]\frac{6}{18}=\frac{90}{x}\\\\\frac{6}{18}=\frac{90}{270}[/tex]

Done!

Answer:

241,920 different ways

Step-by-step explanation:

We have 6 vowels, but A repeats twice and I repeats three times, so the number of ways in which each can either start or end the word:

³P₂ = 3! / (3 - 2)! = 6 / 1 = 6 ways

You can start words with A, E or I, or end the words with A, E, or I.

the remaining 8 consonants can be arranged in 8! ways = 40,320 ways

total number of ways that the letters can be arranged = 6 x 40,320 = 241,920 different ways

The total number of ways the researcher arrange the word CALLITRICHIDAE that start or end with vowels is 6 ways and this can be determined by using the given data.

Given :

Word  --  CALLITRICHIDAE

The following steps can be used in order to determine the total number of ways the researcher arrange the word CALLITRICHIDAE:

Step 1 - First, calculate the total number of vowels in the given word CALLITRICHIDAE.

Total vowels = 6

Step 2 - Now, determine the total number of times a letter repeat in the word CALLITRICHIDAE.

So, the letter A appears 2 times and letter I appears 3 times in the word CALLITRICHIDAE.

Step 3 - Now, evaluate the total number of ways the word CALLITRICHIDAE is arranged:

[tex]\rm Total \;Number\; of\; Ways=\; ^3P_2 = \dfrac{3!}{(3-2)!}=6[/tex]

For more information, refer to the link given below:

https://brainly.com/question/1216161

Answer:

C

Step-by-step explanation:

(x+4)^2+(y-2)^2=49

C

Answer:  8 x 7 = 56   7 x 8 = 56     56/8=7      56/7=8

Step-by-step explanation: the way that you do it you will the same numbers

Step-by-step explanation: 8: 1,8, 2,4,4,2 8,1

                                              7: 1,7,

                                              56: 1,56,7,8,8,7

Answer:

The slope represents here the increase of hours and cost of Hannah's piano lessons over time.

Answer:

hJ^e$nabzdBHrna

Step-by-step explanation:

Answer:   Width of box is not taken up by pencils =  [tex]2\dfrac58\text{ inches}[/tex]

Width of each pencil [tex]=\dfrac38\text{ inches}[/tex]

Step-by-step explanation:

Given: Width of pencil box = [tex]5\dfrac14\text{ inches}=\dfrac{21}{4}\text{ inches}[/tex]

Width of seven pencils = [tex]2\dfrac58\text{ inches}=\dfrac{16+5}{8}\text{ inches}=\dfrac{21}{8}\text{ inches}[/tex]

Width of box is not taken up by pencils =  Width of pencil box  - Width of seven pencils

[tex]\left \{ {{y=2} \atop {x=2}} \right. \dfrac{21}{4}-\dfrac{21}{8}\\\\=\dfrac{21\times2-21}{8}\\\\=\dfrac{21}{8}\text{ inches}=2\dfrac58\text{ inches}[/tex]

Width of box is not taken up by pencils =  [tex]2\dfrac58\text{ inches}[/tex]

Width of each pencil = (Width of seven pencils ) ÷ 7

[tex]=\dfrac{21}{8}\div7\\\\=\dfrac{21}{8}\times\dfrac17\\\\=\dfrac38\text{ inches}[/tex]

Width of each pencil [tex]=\dfrac38\text{ inches}[/tex]

Answer:

38000

Step-by-step explanation:

3.8 X 10^4 = 38000

Answer:

Number 1 is 50 and Number 2 is 40

Step-by-step explanation:

25 X 2 = 50

2 X 20 = 40

Answer:

no solution

Step-by-step explanation:

STEP 1: Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.

[tex]7x+5-5x=12+2x-8[/tex]

STEP 2: Subtract 5x from 7x.

[tex]2x+5=12+2x-8[/tex]

STEP 3: Subtract 8 from 12.

[tex]2x+5=2x+4[/tex]

STEP 4: Move all terms containing x to the left side of the equation.

[tex]5=4[/tex]

STEP 5: Since 5≠4, there are no solutions.

No solution

Answer:

The required dimensions that can be scaled versions of given rectangle are:

Height = 12, Width=18

Height = 30, Width=45

Step-by-step explanation:

Given that height to width ratio is:

3: 4.5

Any ratio equivalent to this or which simplifies to this ratio will be the scaled version of the given rectangle.

Remembering that both sides of the ratio can be multiplied with a number.

So,

The scaled versions can be:

[tex]4(3):4(4.5)\\12:18\\AND\\10(3): 10(4.5)\\30:45[/tex]

The required dimensions that can be scaled versions of given rectangle are:

Height = 12, Width=18

Height = 30, Width=45

Step-by-step explanation:

on the first one you can actually draw a number line and show a positive side and the negative side so you can actually decide the spacing like we can say the scale like one centimetre represents 4/4 like what I did.

On the second one you can actually choose to write any kind of situation that you prefer for instance, i chose Point Marks that you're given in an exam. If you didn't give the assignment on time then you get -5 then you gave the assignment on time you get +5 marks then sometimes you get zero marks like you fail the assignment you get zero then the zero always represents the neutral number like a marker that differentiates the integers from negative to positive and vice versa.

Answer:

The purple on cause they equal a 90 degree angle

Step-by-step explanation:

The similar triangle is given in the attached image below.

Those triangles that looks the same but different in sizes.

And in the similar triangle,

the corresponding sides in proportion to each other and corresponding angles are equal to each other.

Given:

The triangle have sides 3, 4 and 5.

And the angle measure,

37° and 53°.

To find the similar triangle:

The corresponding sides should be in proportion to each other.

And the corresponding angles should be congruent.

The similar triangle is given in the attached image.

Therefore, the similar figure is given in the attached image.

To learn more about the similar triangle;

https://brainly.com/question/14926756

#SPJ5

Answer:

1 and 15

Step-by-step explanation:

8-7=1

8+7=15

Answer:

-2 is the lower bound for the real zeros

Step-by-step explanation:

Answer:

A linear function cuz the numbers doesn’t repeat

Step-by-step explanation:

Rain drop :)

Answer:

answer and explanation in the pic above

hope it helps

Answer:

1/2k-3/5

Step-by-step explanation:

2/5k-3/5+1/10k

2/5k+1/10k-3/5

5/10k-3/5

1/2k-3/5

Answer:

answer A. twaila paid the correct amount for her purchase

Twila has paid the correct amount for her purchase. Calculation of total amount is provided below

Find the Total Amount

Total Amount = [tex]Purchase value + Tax - Discount[/tex]

What information do we have

Price of one relish tray = $18.95

Price of one cheese & cracker tray = $23.99

Price of one cookie tray = $25.49

So,

Purchase Value = Price of 1 relish tray + 1 cheese & cracker tray + 2 cookie trays

[tex]18.95 + 23.99 + 25.49 + 25.49[/tex]

= [tex]93.92[/tex]

Tax = 8% of value

= [tex]8[/tex] % of [tex]93.92[/tex] = [tex]7.5136[/tex]

Discount = $ [tex]5[/tex]

Putting values in formula,

Total Amount = [tex]93.92 + 7.5136 - 5[/tex]

It is equal to 96.43

Hence, Total Amount paid by Twila is Correct

To learn more about Total Amount, refer  https://brainly.com/question/12142770?referrer=searchResults

Answer:

D

Step-by-step explanation:

Answer:

what is the question?

Step-by-step explanation:

Answer: B

Step-by-step explanation: multiply 3/8 by 4 to get 3/2 then put 3/2 in decimal form to get 1.5

Answer:

100

Step-by-step explanation:

Answer:

Its 1

Step-by-step explanation:

Answer:

y=2

Step-by-step explanation:

[tex]22-7y=8[/tex]

Subtract 22 from both sides

[tex]-7y= -14[/tex]

Divide by -7 on both sides

[tex]y=2[/tex]

Hope this helps :)

Answer:

dddddd

Step-by-step explanation:

lol

Answer:

d

Step-by-step explanation:

i think

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

16(option D)

Step-by-step explanation:

2÷1/8

=2×8

=16

Option D is correct

Answer:

The second one.

(-7 ,-4, -3, 5, 7)  

Step-by-step explanation:

the domain means the x values.

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