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

Please answer all questions, will also give brainiest.

its my birthday soon, im turning 13 where would a fun place to go to

i know weird question im debating on airsoft, paintball, or just hanging around in the strip mall area near my house.

Pls need help fast ....

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

The formula for the circumference of a circle with diameter d is. c = πd

b. The circumference of a circle is 8 inches. What is the diameter of the circle?

c. The circumference of a circle is 6π inches. What is the radius of the circle?

For 2 minutes, a satellite traveled at a steady speed. It traveled 380 kilometers around Earth in that time. What was the satellite's speed?

Question 3 options:

The satellite's speed was 90 kilometers per minute.


The satellite's speed was 10 kilometers per minute.


The satellite's speed was 190 kilometers per minute.


The satellite's speed was 200 kilometers per minute.

Need help .....please help mee.. (dont answer if u dont know how to do it).

One bag of rice that weighs 3.5 pounds will have enough rice if a recipe calls for 54 ounces of rice. (1 pound = 16 ounces)

True
False

Please help use your explanation too!

Help please... dont answer if u dont know bc this is for a grade

(a) How could you calculate 23 x 4 on your calculator if the 4 button is broken? (b) How could you calculate 23 x 21 if the 2 button on your calculator is broken?

A school has 400 students. They all come to school by bus, and each bus carries the same number of students. How many students might there be on each bus?

I put some counters into groups with the same number in each group. I can’t remember what I did, but I do remember that I had 12 counters. What might the groups have been?

The table shows the amount of money, A, in a savings account after m months.
Select all the equations that represent the relationship between the amount of money, A, and the number of months, m.​

solve.
-3/4- 4/3 =
Aswdfeghrjkt