Mathematics High School

f. How many times greater is the area of triangle DEF
than the area of triangle ABC? Show/explain.

Answers

Answer 1

Answer:

Area of ΔDEF is 2.25 times the area of ΔABC.

Step-by-step explanation:

Since, ΔDEF is the enlarged form of ΔABC,

Scale factor = [tex]\frac{\text{Side length of triangle ABC}}{\text{Corresponding side length of image triangle}}[/tex]

= [tex]\frac{15}{10}[/tex]

= 1.5

Since, ratio of the areas of image and preimage triangles = (Scale factor)²

[tex]\frac{\text{Area of image triangle}}{\text{Area of triangle ABC}}[/tex] = (Scale factor)²

[tex]\frac{\text{Area of image triangle}}{\text{Area of triangle ABC}}=(1.5)^2[/tex]

Area of image ΔDEF = 2.25(Area of ΔABC)

Therefore, area of ΔDEF is 2.25 times the area of ΔABC.

Related Questions

Chaleah deposited $700 in a new account that earns 5 simple interest. After 4 years, how much interest will she have earned? How much total money will Chaleah have after 4 years

Answers

Answer:

FV= $875

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $700

Simple interest (i)= 5% = 0.05

Number of periods (n)= 4 years

To calculate the future value (FV), we need to use the following formula:

FV= PV*i*n + PV

FV= 700*0.05*5 + 700

FV= $875

If two lines have slopes of 1/3 and -3, then
they are

Answers

Answer:
The two lines are perpendicular.

Explanation:
Perpendicular lines have slopes that are negative reciprocals of each other, and -3 is the negative reciprocal of 1/3.

Another example: two lines have slopes of 2 and -1/2. These two lines are perpendicular.

I hope this helps!

Just do part a how do I solve it?

Answers

Answer: -6 is greater than the left side. So the answer will be less than -6

Step-by-step explanation: for example. The answer could be -7 or -8, (those arent calculated answers)

what is 1/7 * 4/5 in simplest form

Answers

Answer: 33/35?

Step-by-step explanation:

9514 1404 393

Answer:

4/35

Step-by-step explanation:

[tex]\dfrac{1}{7}\times\dfrac{4}{5}=\dfrac{1\times4}{7\times5}=\boxed{\dfrac{4}{35}}[/tex]

Find the slope of the line without graphing using the 2 points below.

(1 , 5) & (3 , 12)

m = _______

Answers

Answer:

m=3.5 or 3 1/2 or 7/2

Step-by-step explanation:

y1 minus y2 over x1 minus x2 is the formula that I used.

convert the following fraction to decimal

[tex] \frac{13}{20} [/tex]

Answers

Answer:

0.65

Step-by-step explanation:

13/20 * 5 = 65/100 = 0.65

Answer:

0.65

Step-by-step explanation:

hdhdhdhdjddhdhdhdhfh he he he hfhdhdhhdhdhsn

Cherries cost $2/b. Grapes cost $0.50/lb. You can
spend no more than $3 on fruit, and you need at least
3 lb in all. Create a graph showing the amount of each
fruit you can buy.

Answers

Let x = the number of pounds of cherries purchased and y = the number of pounds of grapes purchased.

The first two sentences yield the inequalities:

2x + .5y ≤ 3 and
x + y ≥ 2.

You also must have x ≥ 0 and y ≥ 0, in order for this to make sense.

When you graph these four inequalities, you will obtain a region in the first quadrant. I will let you try to find it by graphing the first two inequalities and determining the shaded region.

If you need more help after this, please post a reply and I may offer more assistance.

A triangle has side lengths of 1512, 223, and 314. What is the perimeter of the triangle? Remember that the perimeter of a triangle is the sum of its side lengths.

Enter your answer as a mixed number in lowest terms, like this: 4 2/5

Answers

Answer:

Step-by-step explanation:

merry chrismas

The function p(x) = −2000x2 + 18000x − 15000 models the monthly profit P of a smoothie company, where x represents the price per smoothie. Identify the price range that will generate a monthly profit of at least $25,000.

less than $4
between $4 and $5; exclusive
more than $5
between $4 and $5; inclusive

Answers

Answer: between $4 and $5; inclusive

Step-by-step explanation:

help asap plz and thanks

Answers

Answer:

-49

Step-by-step explanation:

I checked with a calculator so it should be right

Answer:

-49

Step-by-step explanation:

my calculator confirmed it.

What's the error and the answer

Answers

Answer:

The Error is that you need to divide 12 by 3/4 and not mutiply it.

The Answer is x=16

Step-by-step explanation:

12 / 3/4 = 16

pls help! this is due soon.thanks :)

Answers

Answer:

D. Katie has 175 more guitar picks than Lawrence

Step-by-step explanation:

Katie has 256 picks

Lawrence has 81 picks

PLZZZ ANSWER ASAP!! DUE SOON! ONLY ANSWER IF YOU ARE CORRECT, I CANNOT GET THIS WRONG!!!

Answers

Answer:

Step-by-step explanation:

180/7.5=24

you get 7.5 by 6.5+1

If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?

(0, 1)
(1, 1)
(2, 1)

Answers

Answer:

(1,1)

Step-by-step explanation:

What is the equation of the line of symmetry for the parabola represented by the equation y=−x^2+2x+6?

Answers

Answer:

the answer would be t56 im guess ing along with x

Step-by-step explanation:

The line of symmetry for the parabola represented by the equation is

x = 1.

What is a parabola?

A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.

Given an equation of a parabola, y = -x²+2x+6

Factorizing the equation, we get,

x = 1+√7 or x = 1-√7

We know that the line of symmetry of a parabola is equal to the x-coordinate of the vertex of the parabola.

We also know that the x-coordinate of the vertex of a parabola is equal to the average of zeros. So the x-coordinate of the vertex of the parabola would be:

(1+√7 + 1-√7)/2 = 1

Hence, the equation represents the line of symmetry of the given parabola is x=1.

For more references on parabola, click;

https://brainly.com/question/21685473

#SPJ1

1. There are 60 students going on a field trip to the chocolate factory. The students are from three different classes.
Mrs. Hooper's class has 24 students and Mr. Gomez's class has 18 students. Which of the equalities correctly
describes the students and could be used to solve for how many students are from Mr. Anderson's class? (Let A =
the number of students in Mr. Anderson's class.)
A. A + 18 = 24
B. A + A + A = 60
C. 60 - 18 = A - 24
D. 24 + 18 + A = 60

Answers

ANSWER:-

Heya mate,

The answer is Option D

24 + 18 + A = 60

Ayo 2+8 if u answer u get brainliest

Answers

Answer:

Step-by-step explanation:

*+2=1

Answer:

The answer to your question is 10

A dance school has 70 salsa dancers. If 14% of the total number of dancers in the school are salsa dancers, what is the total number of dancers in the school? (1 point)

500
560
840
860

Answers

500!!!!!!! 500-14% ;)

A real estate agent earns a 6% commission on each property she sells. If she sells a detached house for $200,000 and a cottage for $180,000, how much commission will she earn?
A.
$10,800
B.
$20,000
C.
$12,000
D.
$22,800

Answers

I think d is the answer

Matthew surveyed 600 of the students in his school about their favorite color. Students could choose between blue and purple. 11% said their favorite color was purple. How many students' favorite color was blue?

Answers

the answer is 534 students
89%

What is the percent decrease of 51,300 and 45,800

Answers

There is a 10.72 percent decrease:)

Answer:

about 10.7%

Step-by-step explanation:

51300x=45800

x= approx. 0.893 of original so 1-.893=.107

.107*100=approx. 10.7% decrease

What is the slope of the line that goes through points (13, -8) and ( -11, 4)

Answers

Answer:

12/-24 Simplified is 1/-2

Step-by-step explanation:

4-(-8)

-11-13

Find the 12th term of the given explicit geometric formula.
f(n) =3(2)^ n-1

Answers

Answer:

Step-by-step explanation:

Find the value of x.

Answers

Answer:

Step-by-step explanation:

Answer:

I think 126

Step-by-step explanation:

I divided 90÷50 and got 1.8 and then multiplied 70 by 1.8

If a dilation is applied to a triangle, then the image must be _____.

a congruent triangle.
a triangle that is flipped over a line of symmetry.
a triangle that is rotated about a given point.
a larger or smaller triangle.

Answers

Answer:

a triangle that is rotated about a given point.

Step-by-step explanation:

Answer:

If a dilation is applied to a triangle, then the image must be similar.

Step-by-step explanation:

We have been given an incomplete sentence. We are supposed to fill in the given blank.

Sentence:

If a dilation is applied to a triangle, then the image must be _____.

Since we know that after dilating a figure by a scale factor, the resulting image will be either bigger or smaller than the original figure depending on the scale factor.

If the scale factor is greater than one, so resulting figure will be bigger than the original figure.

If the scale factor is less than one, so resulting figure will be smaller than the original figure.

Since all the angles of a triangle add up-to 180 degrees, so the measure of angles of the resulting figure will be same as the original triangle.

Since the corresponding sides of pre-image and image are proportional, so both triangles will be similar not congruent.

also please mark me as brailest

pls help i will give u brianliest

Answers

Answer:

Slope = -3

y-intercept = (0,-4)

Equation: y = -3x-4

Step-by-step explanation:

We can take any two input-output pairs from the table to find the equation of given function.

Linear function is given by:

[tex]y =mx+b[/tex]

Here m is the gradient of the functions which is defined as:

[tex]m = \frac{rise}{run} = \frac{y_2-y_1}{x_2-x_1}[/tex]

The input-output pairs are:

(x1,y1) = (-1,-1)

(x2,y2) = (0,-4)

First of all,

[tex]m = \frac{-4-(-1)}{0-(-1)}\\= \frac{-4+1}{1} = -3[/tex]

Putting the value of slope in the equation

[tex]y = -3x+b[/tex]

Putting (-1,-1) in the equation

[tex]-1 = -3(-1)+b\\-1 = 3+b\\b = -1-3\\b = -4[/tex]

The equation will be:

[tex]y = -3x-4[/tex]

Hence,

Slope = -3

y-intercept = (0,-4)

Equation: y = -3x-4

i need help pls 100 points if its right help FAST!!!!!

Answers

8 home theaters are sold for each $ 500 spent on advertising

Advertising ($) 1,000 - $ 2,000 - $ 3,000

Home Theaters 16 - 32 - 48

16 home theaters are sold when the amount on advertising is $ 1,000

32 home theaters are sold when the amount on advertising is $ 2,000

48 home theaters are sold when the amount on advertising is $ 3,000

X would = The number of home theaters that are sold when the amout of advertising is $500

16/1,000 = x/500

1,000x = 500 *16

1,000x = 8,000

x = 8,000/1,000

X=8

Answer:

The person is correct

Step-by-step explanation:

have A great day!

Yooooooo somebody answer these please.

Answers

Answer:

1. distribution property

Find the simple interest earned-

$580, 2%, 6 months

Answers

Answer:

$69.60 earned in interest

Step-by-step explanation:

580(.02)(6)

which is greater, 1.349 > 1.11

Answers

1.349 is greater than 1.11.

Answer:

that is right the greater one is 1.349

Step-by-step explanation:

bc the number after the decimal 3 is bigger than 1

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f. How many times greater is the area of triangle DEF than the area of triangle ABC? Show/explain.

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f. How many times greater is the area of triangle DEF
than the area of triangle ABC? Show/explain.