Can anyone give a step-by-step guide on how to answer these types of questions? I'm really struggling with similar shapes so thank you in advance.

Answer:

a) 8cm

b) 19.8cm

Step-by-step explanation:

The key to these types of questions is to keep proportions in mind.

To solve the first question, you want to find the proportion of the smaller triangle to the bigger triangle. The length of AE is 6cm, but the length of AD is (6+4) = 10cm. So the proportion of the bigger triangle to the smaller triangle is 10/6. So to find the lengths of the sides of the bigger triangle, we want to keep this number in mind.

The BE side is parallel to CD, so we have to use length of BE multiplied by the proportion in order to get the length of CD.

CD = 4.8 * (10/6) = 8

CD = 8cm

For the second question, you use the same concept to find all the other side lengths. The only one you need left for the shape EBCD is side BC. Do the same thing you did before, take the length of the side of the smaller triangle that corresponds with side AC on the bigger triangle. In this case, it's AB, which is 4.5cm. Multiply this by 10/6 to get AC.

AC = 4.5 * (10/6) = 7.5

AC = 7.5

But we're not done. We just found the length of AC, but we need the length of BC to calculate the perimeter. To do this, we want to take the length of AC - the length of AB.

7.5 - 4.5 = 3

So the length of BC is 3cm. Now, to find the perimeter, just add all the sides of EBCD together.

4.8 + 4 + 8 + 3 = 19.8cm.

Hope this helps.

Answer:

a) CD = 8 cm

b) Perimeter of EBCD is 19.8 centimeters

Step-by-step explanation:

For this question, you can assume that ΔABE and ΔACD are similar. That's proven by BE ║ CD, but that's not directly relevant to the question so I won't explain it unless you would like me to.

In 2 similar triangles, all corresponding angles are congruent and all corresponding sides have the same scale factor.

For example, in ΔABC and ΔXYZ:

[tex]\frac{AB}{XY} =\frac{AC}{XZ} =\frac{BC}{YZ}[/tex]

Using those relationships, you can solve for any side in one triangle given the corresponding side in the other triangle.

A)

In the given triangles ΔABE and ΔACD, CD corresponds to BE, so:

[tex]\frac{CD}{BE} =\frac{AD}{AE}[/tex]

where AD is just 6 + 4 = 10.

[tex]\frac{CD}{4.8} =\frac{10}{6} \\\\\frac{CD}{4.8} =1.6667\\\\CD=8[/tex]

CD = 8cm

B)

Doing the same thing as above, now find the length of AC:

[tex]\frac{AC}{AB} =\frac{AD}{AE} \\\\\frac{AC}{4.5} =\frac{10}{6}\\\\\frac{AC}{4.5} =1.6667\\\\AC=7.5[/tex]

Now, to find BC:

[tex]BC=AC-AB\\BC=7.5-4.5\\BC=3[/tex]

Finally, add up the sides to find the perimeter of EBCD:

[tex]4.8+3+8+4\\19.8[/tex]

Perimeter of EBCD is 19.8 centimeters

Where do we use order of operations in real life.

Find the value of y.

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

math need helps i will brainliest

Who is correct and why?

Solve: 6 -0.2x = 2 (6 -0.6x)
A. x=0
B. There are infinitely many solutions.
C. x = 6
D. x = 18

Can anyone help me with this question please I really need help please I’ll mark as brainliest

Sin x= cos y show that x+y=90

4. A man who is 40 years old wants to begin exercising daily. Calculate his target heart
rate range

6.4 + 3.2? I need it in simplist form

Graph F(x)=x^2+4 to its function

Please don't answer if you don't know, please!!
It's about integrals. I know the answer but I'm not sure of the working.

The product of six minus a number and five equals 60÷2 which equation relates the sentence

Round your answer to the nearest tenth

Jill rode her bike for 2/3 hours for 18mph and she walked 2/5 hours with a speed of 5mph. By how much more distance did she ride on the bike, then walked.

Mr. Mole left his burrow and started digging his way down.

A represents Mr. Mole's altitude relative to the ground (in meters) after t minutes.

A= -2.3t-7

How fast did Mr. Mole descend?

___ meters per minute

8.G.4: On the coordinate plane shown below, Figure 1 is transformed into Figure 2, which is transformed into Figure 3. Figure 1 and Figure 3 are similar by a sequence of transformations. Which statement describes the transformation of Figure 2 into Figure 3?

A video game has five stages. If Will beat 4/5 of the stages, what percent of the game has he finished

An auditorium seats 48 students per row. A total of 1665 students are in the auditorium today. All the rows are full except for the front row. a. How many rows are in the auditorium? There are rows in the auditorium.

Guys please help asap i don't want to fail
Consider the sequence shown.

How would you rewrite -5 - (-8) as an addition problem?

Sketch the graph of each line by identifying the x-and y-intercepts.

? Steve has 7 biscuits in a tin. There are 3 digestive and 4 chocolate biscuits. Steve takes two biscuits at random from the tin. Work out the probability that he chooses two different types of biscuits.​

Help plz. I think the starting number is 100% Buu I don't know.

how to write the ration 4.5 : 2.25 in the form n:1

Students were surveyed about what summer camp they would be attending.

Of the students that stated they would be going to Camp Redwood, 20% did not go to camp. Of the students that stated they would be going to Camp Kern, 15% did not go to camp. How many more students went to Camp Kern than Camp Redwood?

The total operating costs of a monorail are paid using a combination of passenger fares and tax revenue. The farebox recovery ratio is the ratio of passenger fares to total operating costs. A monorail in one city has $69 million in operating costs per year, and uses $30 million from tax revenue.
To the nearest hundredth, what is the farebox recovery ratio for the city?

help me pls with my geometry

Mrs.bowlin Organise the markers and two sets of staff were nine markers in each is that how many sets of markers did Mrs. Bowlin create

PLEASE HELP. WILL MARK BRANLIEST!!!
Evan is always on the go and lacks the time to search for a parking space in the city. Evan has
most recently started using car-sharing services like Uber and Lyft to get around Nashville. He
maintains a log of each ride to claim the car-sharing charges as a business expense, as shown
below:

A. Sketch a graph of the provided data.( label each axis and provide scaling).
B. Write a linear function to show the relation ship between the two variables. Use the variables d for miles and c for dollars
C. Explain the meaning of each part of your equation In context to the scenario.
D. Evan is trying to determine where to meet a client for a meeting. How far will Evan be able to travel with a budget of $10.00 for a car-sharing ride?
E. Whoops! Evan was in quite the rush and forgot to log the miles for his last trip! How many miles was Evans trip if there was a charge of $17.26 on his credit card for the ride-sharing service?

2. Josh works in the same office as Evan; unfortunately, josh is not very organized, and his ride-share log is incomplete. Use the linear function C=1.20d to complete the chart below:
Distance d in miles,cost c in dollars
4 14.55

11
28.95