Triangle BCD With Vertices B(4,4), C(8, 14), And P(12, 0); K = 1/4

Answer:

Hello, I am not sure if you mean a dilation by 1/4. If it is, this will be the answer:

B (1, 1)

C (2, 3.5)

D (3, 0)

Step-by-step explanation:

Just divide each number by 4. B (4, 4) = B (4/4, 4/4) = B (1, 1)

Continue to do this for each coordinate set given.

Hope this helps!

The vertices of triangle B'C'D' are:

B'(-1, -1/2)

C'(0, 2)

D'(1, -3/2)

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

To find the vertices of triangle B'C'D', which is a dilation of triangle BCD with center at the origin and a scale factor of 1/4,

We can follow these steps:

Find the coordinates of the centroid of triangle BCD.

The coordinates of the centroid G are:

[tex]x_G = (x_B + x_C + x_D) / 3 = (4 + 8 + 12) / 3 = 8[/tex]

[tex]y_G = (y_B + y_C + y_D) / 3 = (4 + 14 + 0) / 3 = 6[/tex]

Translate triangle BCD so that its centroid is at the origin.

We can do this by subtracting the coordinates of the centroid from the coordinates of each vertex:

B(4, 4) → [tex]B_1(4 - 8, 4 - 6) = B_1(-4, -2)[/tex]

C(8, 14) → [tex]C_1(8 - 8, 14 - 6) = C_1(0, 8)[/tex]

D(12, 0) → [tex]D_1(12 - 8, 0 - 6) = D_1(4, -6)[/tex]

Dilate the translated triangle [tex]B_1C_1D_1[/tex] by a scale factor of 1/4.

To do this, we can multiply the coordinates of each vertex by 1/4:

[tex]B_1[/tex](-4, -2) → B'(-4 x 1/4, -2 x 1/4) = B'(-1, -1/2)

[tex]C_1[/tex](0, 8) → C'(0 x 1/4, 8 x 1/4) = C'(0, 2)

[tex]D_1[/tex](4, -6) → D'(4 x 1/4, -6 x 1/4) = D'(1, -3/2)

Therefore,

The vertices of triangle B'C'D' are:

B'(-1, -1/2)

C'(0, 2)

D'(1, -3/2)

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

If Gary bikes at an average speed of 6 miles per hour, how many hours will it take him to bike 84 miles?
A. 19 hours
B. 17 hours
C. 14 hours
D. 12 hours

help im giving 90 points

include reasoning pls

Algebra help........................

A right triangle has sides of length 3, 4, and x. Find x if it is one of the legs.

HELP ON THIS ONE????

Please help with these questions!! Tysm!

y = 5x + 4
What is the slope. Please help.

A game app costs a base fee of $5.
You can download additional booster packs for $1.50 per pack.

If you spend a total of $23 on the game, which equation correctly models the situation, where n is the number of booster packs purchased?

Please help immediately. I need only 10 more questions on IXL to get 100%

Deanna borrowed $650 at 8% 0 simple interest. How much - 52 interest did she pay for 1 year?​

THERE ARE 4 QUESTIONS BELOW!
1. Mae Ling earns a weekly salary of $395 plus a 5.0% commission on sales at a gift shop. How much would she make in a work week if she sold $4,800 worth of merchandise?

She would make $_______

2. Ramon earns $1,865 each month and pays $53.30 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?

Ramon spends ______% of his earnings on electricity each month.

3. James, Priya, and Siobhan work in a grocery store. James makes $7.00 per hour. Priya makes 40% more than James, and Siobhan makes 15% less than Priya. How much does Siobhan make per hour?

Siobhan makes $_______ per hour.

4. The Hu family goes out for lunch, and the price of the meal is $46. The sales tax on the meal is 6%, and the family also leaves a 20% tip on the pre-tax amount. What is the total cost of the meal?

The total cost of the meal is $__________.

5. For the following real-world examples, determine whether each situation represents a percent increase or a percent decrease.

Sales tax on an item is a percent ______

A discount on an item is a percent _____

A tip on a bill is a percent __________

plz help for 100 points what I need help with is in the pictures

Pls help this question is due in 2 minutes

Use prime factorization to find the GCF (greatest common factor) of the following sets of numbers. Show the steps you used to find the GCF. 1) 18: 20: GCF: 15: 25: GCF: 40: 32: GCF: 12: 22: GCF: 10: 20: GCF: 9: 16: GCF: 30: 15: GCF: 15: 35: GCF: 14: 28: GCF: 24: 8: GCF: 45: 27: GCF: 36: 42: GCF: 2)3) 4) 7) 10) 5) 8) 11) 6) 9) 12)

Identify the parts of the expression 4.2m + (8 , 2) - 6.

a. What are the terms of the expression?
b. Which term is the product of two factors?
c. Which term is a quotient?
d. Which term is a constant numerical value?

PLS HELP ASAP DOING A TEST
A rectangular table has a length of 12 in. and width of 8 in. How much fabric is needed to cover the table top?

Owen earned some money at a summer job. He saved 1/4 of the money and spent 1/3 of the rest on a t-shirt. He then spent the remaining money on downloading some songs. 1.What fraction of the money did he spend on the downloads?
2. If the t-shirt cost 20$, how much money did Owen earn at the summer job?

A pine tree grows about 18 inches per year. After how many years will the tree be 90 inches tall? [Type your answer as a number.]

This one i number 7…..

please explain and i will give brainly

Araceli filled a cone-shaped container with a variety of colored sand to give as a gift to a friend. The volume of a cone is represented by the expression below, where r is the radius of the base of the cone and h is the height of the cone.



Find the approximate volume of colored sand in the container if it has a radius of inches and a height of inches. Use 3.14 for .
A.
70.65 cubic inches
B.
9.42 cubic inches
C.
23.55 cubic inches
D.
47.1 cubic inches

use the table of probabilities to answer questions 1-3
1.list members of the sample space that include a taco use parentheses
2.list the members of the sample space that include cheese us parentheses
3.What is the probability of choosing a burrito with cheese and a taco or wrap with salsa??
please help

A professional football field is 120 yards long and 53 yards wide. How far will you run if you go all the way around it?

Mrs. Payfer's desk is 3 feet by 2 feet. What is the perimeter of her desk?

What is the perimeter of a square with a side that measures 15 m?

Please answer quickly. I have ton more questions to do..
and please do N

Translate the phrase into a math expression.

Twelve more than the quotient of six divided by three.


A. (3÷6)+12

B. 3÷(6+12)

C. (6÷3)+12

D. 6÷(3+12)

Simplify
10(–6x+–10)+–10x

Create a scatterplot displaying the data in the table. Be sure to include a linear trend line. (2 points)

PLS HELP ME I NEED THIS URGENT!!!!

please and thank you

Simplify 10 divide 5 + 3 x 2.

k = -45 ÷ (-15).

-3

-9

3

9