ANY FAKE/TROLL ANSWERS WILL BE REPORTED

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.


A graph depicts two right triangles DEA and BAC which have the line as the hypotenuse.


Part A

Which angles of the triangles measure 90°


Part B

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?


Part C

Which angle has the same measurement as angle DEA, and how do you know that the measurement is the same?


Part D

Which angle has the same measurement as angle DAE and why (vertical, corresponding, alternate interior, or alternate exterior angles)?


Part E

Are the two triangles congruent? Why or why not?


Part F

Are the two triangles similar? Why or why not?


Part G

Write a fraction setting the vertical length of the larger triangle over its horizontal length. What does this fraction represent?


Part H

Write a fraction setting the vertical length of the smaller triangle over its horizontal length. What does this fraction represent?


Part I

To see if the slopes are the same, write an equation setting the two fractions equal to each other. Is this equation true? Why or why not? What does that mean about the slope between points E and A and the slope between the points A and C?












Space used (includes formatting): 0 / 15000

Answer:

Step-by-step explanation:

We know that the Slope is always given as, 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,

For Δ ABC,

rise = AB = 2 units,

run = BC = 3 units,

,

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, which 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, which 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.

I hope this is helpful. Hope you get good grades!

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A school janitor has mopped 1/3 of a classroom in 5 minutes. At what rate is he mopping?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.

x (minutes) y (bedsheets)
10 60
13 78
14 84
15 90
Write an equation for the relationship between x and y. simplify any fractions.
So y= what

y =

QUICK PLEASE HELP ME ASAP

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Can anyone help with these two problems!

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A spinner divided into eight equal colored sections, with one orange, two purple, two yellow, and three blue.

Which statement about probability is true?

The probability of landing on blue is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on orange.
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The probability of landing on purple is equal to the probability of landing on blue.

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What is the range of this data set?

1
2
3
4

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or
A pizza restaurant used its final 2/3 of a liter of pizza sauce to make some pizzas. They put 1/6 of a liter of sauce on each pizza. How many pizzas did they make?

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Consider the two functions shown here. Which function has the greater rate of change? Explain your answer. Responses A Function 1, because its rate of change is ½ .Function 1, because its rate of change is ½ . B Function 1, because its rate of change is 2.Function 1, because its rate of change is 2. C Function 2, because its rate of change is ½.Function 2, because its rate of change is ½. D Function 2, because its rate of change is 7.

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The first hexagon is dilated to form the second hexagon.

Select answers from the drop-down menus to correctly complete the statements.

The scale factor is (answer)


This represents (answer)

List the sample space for rolling a fair eight-sided die.

S = {1}
S = {8}
S = {1, 2, 3, 4, 5, 6}
S = {1, 2, 3, 4, 5, 6, 7, 8}

Analysts at the Milk Company calculated the average price of a gallon of its milk over 10 years. The following table shows the years since 2010 and the average price of a gallon of milk at that time.


Years (since 2010) 0 1 2 3 4 5 6 7 8 9
Price (in dollars) 3.32 3.52 3.41 3.40 3.21 3.52 3.02 2.82 3.05 3.31

Which of the following representations is most appropriate for showing how the price changed each year?
line graph titled gallon of milk, with the y axis labeled years since 2010 and the x axis labeled price in dollars with points at 3.32 comma 0, 3.52 comma 1, 3.41 comma 2, 3.40 comma 3, 3.21 comma 4, 3.52 comma 5, 3.02 comma 6, 2.82 comma 7, 3.05 comma 8, and 3.31 comma 9
scatter plot titled gallon of milk, with the y axis labeled years since 2010 and the x axis labeled price in dollars with points at 3.32 comma 0, 3.52 comma 1, 3.41 comma 2, 3.40 comma 3, 3.21 comma 4, 3.52 comma 5, 3.02 comma 6, 2.82 comma 7, 3.05 comma 8, and 3.31 comma 9
scatter plot titled gallon of milk, with the x axis labeled years since 2010 and the y axis labeled price in dollars with points at 0 comma 3.32, 1 comma 3.52, 2 comma 3.41, 3 comma 3.40, 4 comma 3.21, 5 comma 3.52, 6 comma 3.02, 7 comma 2.82, 8 comma 3.05, and 9 comma 3.31
line graph titled gallon of milk, with the x axis labeled years since 2010 and the y axis labeled price in dollars with points at 0 comma 3.32, 1 comma 3.52, 2 comma 3.41, 3 comma 3.40, 4 comma 3.21, 5 comma 3.52, 6 comma 3.02, 7 comma 2.82, 8 comma 3.05, and 9 comma 3.31

Image includes question. Include the process and correct answer.

A kangaroo hops to a height of 1 m 8 cm and moves a distance of 2 m 50 cm in one hop. What is the difference between the height and the distance it covers ?

The graph above shows the
high temperatures of a city
on certain days in July. Find
the rate of change from the
12th to the 24th
A) -0.5%/day
B) 0.5%/day
C) -2°/day
D) 2°/day
E) 2.5°/day

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Whats the Length of XY
A. 5 units
B. 4 units
C. 3 units
D. 2 units

Quadrilateral W X Y Z was dilated with the origin as the center of dilation to create quadrilateral W ′ X ′ Y ′ Z ′ . The quadrilateral was dilated using a scale factor of 2. The lengths of the sides of quadrilateral W X Y Z are given. Enter the lengths of the sides of quadrilateral W ′ X ′ Y ′ Z ′ below. (Decimal values may be used.)

What is the measure of angle X?
A. 54°
B. 86°
C. 95°
D. 125°

Kyle is shopping for his favorite
cereal at the grocery store. The
9 ounce box costs $2.52 while the 12 ounce box costs $3.60. Which is the better deal? How much will he save per ounce?

A) 9 oz.; 20¢/oz.
B) 12 oz.; 20%/oz.
C) 9 oz.; 2¢/oz.
D) 12 oz.; 2¢/oz.
E) 12 oz.; 9¢/oz.

One afternoon, Dillon and 3 friends visit the zoo. They split the cost of parking the car evenly. Then each person buys a ticket to enter the zoo. By the end of the afternoon, each person has also purchased 2 bottles of water.
• Let p represent the parking cost.
• Let t represent the ticket cost.
• Let w represent the cost of a bottle of water.
Use the dropdowns to complete the statements.

(A) One way to express the total cost is to find the cost per person for a ticket and water. Then multiply this expression by
Choose...
and add
the parking cost
.


(B) The expression for total cost described in part A is
Choose...
+
p
.


(C) Another way to express the total cost is to add the cost of
Choose...
tickets plus the cost of
Choose...
bottles of water plus
the parking cost
.


(D) The expression for total cost described in part C is
Choose...
.