On the graph, two right triangles have the line as the hypotenuse. In this task, you will use these triangles to show that the slope between points E and A is the same as the slope between points A and C.


Q1:
Which angles of the triangles measure 90°?

Q2: To show that the other two angle measurements in each triangle are equal, you can use parallel lines cut by a transversal. Which two pairs of line segments formed by triangle sides are parallel, and what is the transversal for each pair?

Answer:

1.The 6th one

2. The pairs can be (6, 8)

Step-by-step explanation:

We know that, the Slope is always given as [tex]\bold{\dfrac{Rise}{Run}}[/tex], where the rise is the vertical height of the slope and run is the horizontal length of the slope.

For Δ ADE,

rise = DE = 4 units,

run = DA = 6 units,

[tex]\bold{slope = \dfrac{Rise}{Run} =\dfrac{4}{6} = \dfrac{2}{3}}[/tex]

For Δ ABC,

rise = AB = 2 units,

run = BC = 3 units,

[tex]\bold{slope = \dfrac{Rise}{Run} = \dfrac{2}{3}}[/tex],

Thus, the slope of line EA and AC is equal.

We know in a Right Angle Triangle the side opposite to the right angle is the longest side and it is known as hypotenuse.

As already mentioned in the question " two right triangles have the line as the hypotenuse", which means line EA and line AC are already said as the hypotenuse of the triangles. therefore, the angle opposite to them is the right angle in the triangles.

1.)  

In ΔABC, the hypotenuse is the line AC, therefore, the right angle is the opposite angle which is ∠ABC.

Similarly,  In ΔEDA, the hypotenuse is the line EA, therefore, the right angle is the opposite angle which is ∠EDA.

2.)

Parallel lines are those lines that always maintain the same distance between them and will never meet. whereas, a transversal is a line that crosses two or more parallel lines. As shown in the image below,

Here, there are two pairs of parallel lines cut by a transversal

Pair I:   line ED and line AB are a pair of parallel lines, can be easily seen if both the lines are extended, while AD (or x-axis), line BC(only if extended), and line EC are the transverses between them.

Pair II:  line DA and line BC are a pair of parallel lines, can be easily seen if both the lines are extended, while AB (or y-axis), line ED(only if extended), and line EC are the transverses between them.

To know more visit:

https://brainly.com/question/18250950

Here are three figures. Two are similar and one is not.

Explain which figures you think are similar and how you know.

1,615 ÷ 42

Yea a divson prob its easy right I'm just timed two this is 1 minite so plz help

Chris is trimming trees. He can trim 2/3 of a tree in 30 minutes. Complete the table to show how many trees Chris can trim for different number of hours. Drag the answers to the correct spot on the table. 5,4,10,4/3,12,1/2,1 1/3
times 1,3,9

In a direct variation, y = 14 when x = 2. Write a direct variation equation that shows the relationship between x and y.

Find the value of x and y

its math. i dont know if it easy or not im just confused

Please help me with this

Help meeeeeeeeeeeeee... please dont answer it if u dont know the ans or almost the ans

Please help! Will give brainliest for proper answers! 6-10 needs to be answered

A farm lets you pick 3 pints of raspberries for $12.00.

1.) What is the cost per pint?
2.) How many pints do you get per dollar?
3.) At this rate, how many pints can you afford for $20.00?
4.) At this rate, how much will 8 pints of raspberries cost?

Selena babysits on the weekends. The equation y = 12x represents the amount of money she earns. What is the constant of proportionality?​

A home improvement store advertises 60 square feet of flooring for $287.00, which includes a $80.00 installation fee. Write an equation to represent the cost of one square foot of flooring. A. 80x + 60 = 287. B. 60x + 80 = 287 C. 60x - 287 = 80 D. 80x - 287 = 80

subtract
1 2/5 - (-3/5)
enter your answer in simplest form

Problem: Four students tried to write 12x + 3y=9 in equivalent y= mx + b form.
Question: Did each student get an equation that is equivalent to the original Ax + By=C form?
If so, explain the reasoning for each step. If not, tell what errors the students made.
Use google docs to submit this assignment.

What is the y-intercept of the line and what is the x-intercept

Which number is missing from the list of factors for 48?

1, 2, 4, 6, 8, 12, 16, 24, 48

3
20
7
14

A hairstylist schedules 1/4 hour to trim a customer's hair and 1/6 hour to style the customer's hair. The hairstylist plans to work 2 1/3 hours each day for 5 days each week. How many appointments can the hairstylist schedule each week if each customer must be trimmed and styled?

2. which of the following numbers is both an integer and a rational number?
a. -17.6
b. 17/2
c. square root of -121
d. square root of -136

3. which number does not belong in the whole number box, but would belong in the natural box?
a. -15/3
b. -208.3
c. 12
d. 0

Roast beef at a deli sells for $6.40 per pound. A package of the roast beef costs $16.64. How many pounds of roast beef are in the package?

Could anyone help me with this? (A question I've been wondering about.)

PLZ HLP! I WILL GIVE BRAINLIEST
What is 12 1/2%expressed as a fraction?

Which expression is equivalent to 6^3?
A) 6 x 3
B) 6 x 6 x 6
C) 3 x 3 x 3 x 3 x 3 x 3
D) (2x3) x (2x3) x (2x3)

here is another question for brainliest

write a word phase for p devided 3
A) a number plus 3
B) a product of a number and 3
C) the quotient of a number and 3
D) a number decreased 3

What is the fractional equivalent of the repeating decimal n = 0.1515... ?
Answer the questions to find out.

1. How many repeating digits does the number represented by n have?


Write your answer in the space below.















2. You need to multiply n by a power of 10 to help you find the fraction. Decide on the power of 10 to multiply by, and tell how you identified that number.


Write your answer in the space below.















3. Write an equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power.


Write your answer in the space below.















4. Write the original equation, n = 0.1515... underneath your equation from question 3. Then subtract the equations. Show your work.


Write your answer in the space below.















5. Write n as a fraction in simplest form. Show your work.


Write your answer in the space below.

Someone please help! This is part of my grade :( PLEASE dont answer wrong I’m really serious about my grades

Money that is collecting interest in a bank account triples in value every 20
years.
When the account was
opened, it had 81, or 34 dollars in it. After 60 years, the
account balance has tripled 3 times, increasing by a factor of 33.
It now has a balance of 34. 33. Expressed as a power, how much money, in
dollars, is in the account after 60 years?
O A. 3^7
O B. 3^3
C. 3^12
D. 9^7

45+-18 I really need help with this

PLZZZZZZZZZZZZZZZZZ HELP ME WITH THIS IT DUE TODAY and explain!!!!!
1 is the first image question


2 is second image question

Elijah estimates that 54 students will be at the school dance. Angel estimates that 45 students will be. There are actually 48 students at the dance. How much less is the percent error in Angel's estimate than in Elijah's estimate?

-12.5% less
-6.25% less
-3% less
-65 less