John writes the proof below to show that the sum of the angles in a triangle is equal to 180°. Which of these reasons would John NOT use in his proof? A. The sum of the angles on one side of a straight line is 180°. B. If a statement about a is true and a=b, the statement formed by replacing a with b is also true. C. When two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent. D. When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent. G-CO.10 2. In triangle ABC, ∠ = ∠ = . Which of these can be proved using the triangle s

Answer:

The correct option is;

D. When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent

Step-by-step explanation:

In the proof to show that the sum of the angles in a triangle = 180°, we have;

For a triangle located between two parallel lines, such that the base of the triangle coincides with one of the parallel lines, we have;

The angle formed by one of the base angles and the adjacent side of the extension = 180° by the sum of angles on a straight line

From the attached diagram of a triangle between two parallel lines, we have;

∠e + ∠b = 180° by the sum of angles on a straight line postulate

∠e = ∠a + ∠d by alternate interior angles postulate

∠c = ∠d by alternate interior angles postulate

∴ ∠e = ∠a + ∠c by substitution property

∴ ∠e + ∠b = ∠a + ∠c + ∠b  = 180° by substitution property

Therefore, the sum of the interior angles of a triangle, ∠a + ∠c + ∠b  = 180°.

Matthew likes to buy movies from a DVD club. He pays $5 per month
plus $2 per movie. If he buys six movies in June, how much did he pay for the month of June?

Which statement represents the given algebraic expression?

\large -3n-17

a
Seventeen less than three times a number
b
Negative three minus seventeen
c
A number less than seventeen is negative three
d
Negative three of a number decreased by seventeen

3) At a coffee shop, the price of a cup of coffee increased from $1.20 to $1.44. What is the change? Is it an increase or decrease?

Suppose your family is taking a road trip of 120 miles to visit a family member how long would it take to make the trip if you go 40 miles per hour ?

If the graph of the parent function f(x) = x is shifted 7 units down, which of the following equations would the new graphed line represent?

can someone help me answer this? urgent‼️

please help im super behind :((

what is 123+6 answer

Bok Sanctuary in Lake Wales, FL, has a carillon tower that is 205 feet tall. Heather made a scale drawing of the tower using the scale 1 inch : 20 feet. In which proportion does h represent the height, in inches, of Heather's scale drawing?

−7x−5=4x-29 What is the answer?

At Guevarra Clan Reunion, 4 1/2 kg of spaghetti was left.Lf there are 6 families,how much each family can take home equally.How much each family can take home equally?

3(10)+5x=26
Answer this please!!​

Is 700% of 5 less than 10 greater than 10 but less than 100 or greater than 100?

What is the slope of the line through (3, 2) and (-3,4)?​

ASAP 30 POINTS PLEASE HELP
Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $17 to produce 2 widgets, $69 to produce 4 widgets, and $417 to produce 10 widgets. Here is the cost function used to represent this situation in terms of the number of widgets produced: c(x) = 4x2 + 2x - 3
Find the total cost of producing 6 widgets.​

6TH TIME POSTING....

Which algebraic rule describes the translation?

Wont let me copy and paste picture .-.

Cordinates: RUST: R= -4,-1 U= -4,-3 S= -1,-1 T= -1,-3
Cordinates: R'U'S'T': R'= 4,1 U'= 4,3 S'= 1,1 T'= 1,3

Find the value of 3x 5(2)

Part A Consider the Similar triangles below :

B 4 6, A, 7, C

Q, 12 , P , R

Find the scale factor :

Part B :

Find the length of side PR

​

The mass of a rock sample is 25 g and
its density is 5 g/cm². What is the
volume of the rock sample?

I need help, please and thank you. I know that you have to multiply the diameter by 2 to find the radius, but with the 9 pi, it makes me unsure if I'm doing this correctly. ​

DESCRIBE IN WORDS THE TRANSLATION OF x represented by the translation rule <-6,8> (X) A. 6 units to the right and 8 units down B. 6 units to the left and 8 units up C. 8 units to the left and 6 units down D. 6 units to the right and 8 units up

Jerome's brother told him to add one cup of water for every one cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.Is Jerome's brother correct?explain why or why not.Use examples from the table to support your answer.​

The vertices of a triangle are p(3,7) Q(7,-6) R(-8,7). Name the vertices of the image reflected across the x axis

Help ASAP if you want brainliest, five stars, thanks, and friends list.
The two pics are the same question.

Marian wishes to buy a new computer that will cost her $300. She receives $5 per hour for babysitting her younger brother and $4 per hour for helping her mother with chores. Each week she babysits her brother for 4 hours and helps her mother with chores for 10 hours. How many full weeks must she work to earn enough money to buy the computer?

What is NOT equivalent to 20%?

A 0.2
B 1:5
C 10/50
D 4/16

NEED HELP FAST PLEASE! Match each whole number with a rational, exponential expression.

HELP ASAP WILL GIVE BRAINLEST
PLEASE HELP NOW ASAP
HELP

write and evaluate an expression for the problem music lessons cost $20 per week. How much do 6 weeks of lessons cost?

Please get the correct answer for this, and you WILL recieve brainliest, I will know If this is the wrong answer.