If Triangle ABC~ triangle DEC, find the value of x and the scale factor from DEC to ABC





If Triangle ABC~ Triangle DEC, Find The Value Of X And The Scale Factor From DEC To ABC

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

scale factor = [tex]\frac{AC}{DC}[/tex] = [tex]\frac{25}{20}[/tex] = [tex]\frac{5}{4}[/tex]

Then

[tex]\frac{AB}{DE}[/tex] = [tex]\frac{3x-2}{2x}[/tex] = [tex]\frac{5}{4}[/tex] ( cross- multiply )

4(3x - 2) = 10x

12x - 8 = 10x ( subtract 10x from both sides )

2x - 8 = 0 ( add 8 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4


Related Questions

James studied for his test. He started studying at 3:20 p.m. and studied for 2 hours
and 15 minutes. What time did he finish studying? (SHOW WORK PLS BEST ANSWER WITH BEST EXPLANATION GETS THANKS AND BRAINLIEST!!)

Answers

Answer:

James finished studying at 5:35pm

Step-by-step explanation:

3:20+2:15=3:35

20+15=35

3+2=5


Find the y-intercept of 2x - y = -6.

Answers

B is correct 12 for find the y-intercept of 2x-y=-6
I’m pretty sure it’s -6 because

To find y-intercept, you have to substitute x=0

2 * 0 - y = 6

Then you solve the equation for y

2 * 0 =

0 - y

So your answer is

Y = -6

The largest Easter Basket ever made in out city was in the shape of a huge circle and had a circumference of 20 feet. How many feet wide was the Easter Basket? (Round to the tenths place)

Answers

Answer:

13

Step-by-step explanation:

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.,kjhuilk;jk;lk'

A study showed that the ratio of the number of people who get their news from social media to the number of people who their news from other sources is 3 to 7. Based on the ratio, how many people in a town of 900 people get their news from social media?

Answers

Answer: 270 people

Step-by-step explanation:

The ratio of the number of people who get their news from social media to the number of people who their news from other sources is 3 to 7.

This shows that the number of people who get their news from social media is 3 out of 10 i.e (3+7).

Therefore, the number of people in a town of 900 people that get their news from social media will be:

= 3/10 × 900

= 270 people.

Answer:

is it right

Step-by-step explanation:

HELP ME NOW ASAP PLEASE

Answers

Answer:

D. There are points on the graph with the same [tex]x[/tex]-coordinate but different [tex]y[/tex]-coordinate.

Step-by-step explanation:

A relation is a function if and only if each element of the range, corresponding with y-axis, is associated with only one element of the domain, corresponding with x-axis. In this case, the graphed relation is not a function, since for all element of the domain, except 0, are related to two distinct elements of the range.

Hence, correct answer is D.

in the math equation W=F*D what relationship is required for work to be done


the force must be equal to the distance

the force must be perpendicular to the distance

the force must be greater than the distance

the force must be in the same direction as movement​

Answers

The relationship that is required for work to be done is the force must be perpendicular to the distance

Equation of work done

The formula for calculating the work done is expressed as:

W = Fd

where
F is the force

d is the distance

For work to be done, the force must act perpendicularly to the given distance. Hence the relationship that is required for work to be done is the force must be perpendicular to the distance

Learn more on workdone here: https://brainly.com/question/25573309

Directions Find the value of each variable

Answers

Answer:

X= 2 sqrt of 7

Y=2 sqrt of 7

Step-by-step explanation:

I just know the answer srry

What type of correlation exists between the temperature and the number of fruit bars sold? What is the real-world meaning of the slope of the line of best fit for the given scenario? There are approximately more fruit bars sold for every degree(s) the temperature rises

Answers

Answer:

There's no figure, but okay! The type of correlation that exists between the temperature and the number of fruit bars sold is a positive correlation.

The real-world meaning of the slope of the line of best fit for the given scenario is that: As the temperature increases, so too does the number of fruit bars sold.

I hope that helps you!! ^-^

Answer:

What type of correlation exists between the temperature and the number of fruit bars sold?

✔ positive

What is the real-world meaning of the slope of the line of best fit for the given scenario?

There are approximately ✔ 2.2 more fruit bars sold for every ✔ 1 degree(s) the temperature rises.

Step-by-step explanation:

got it right in edg 2021, hope this is of help :)

What is this anyone ???

Answers

Answer:

7.2x10^13

Step-by-step explanation:

Please help me :C PLEASE I BEG

Answers

Answer:

$0.83

Step-by-step explanation:

Its teh only one that makes sense since the 2nd is under, 3rd is over, and 4th is for lazy people

Answer:

a

Step-by-step explanation:

Please help I need the answer it’s due today by 3!!!

Answers

Answer:

x=23

Step-by-step explanation:

90 - 65 = 25

25 - 2 =23

A system of equations is graphed below.
How many solutions does this system of equations have?

A.one solution
B.two solution
C.no solution
D.infinitely many solution

Answers

i think the answer is infinitely many solutions

i am not sure tho

hope it helps

I know the answer is 1 but I need to show it with positive and negative tiles and I don’t know what to put.
Draw Algebra Tiles to help you solve the following question:
4 - (-5) =

Answers

Answer and Step-by-step explanation:

So, the negatives cancel and turn into a positive.

The red squared of 5 become green squares.

Which values are solutions to the inequality below?
Check all that apply.

Answers

A C and E but sorry if I’m not right

find the value of x.​

Answers

Answer: x = 20

Steps:
5x = 100°
x = 100/5
x = 20

So these are vertical angles (share a vertex) which means they are the same measure. Set them equal to each other to find x

[tex](5x) = 100[/tex]

[tex]\frac{5x}{5} = \frac{100}{5}[/tex]

[tex]x = \frac{100}{5}[/tex]

Answer:

[tex]x = 20[/tex]

Help plz I have time and I need to show work

Answers

21 I think but I was just guessing

A bag contains 20 pink candies, 8 red candies, and 12
green candies. Without looking, Sarah pulls out a piece of
candy. Which color of candy is least likely to be pulled
out?

Answers

Answer:

red candies

Step-by-step explanation:

Statistically:

• 2/3 (20/30) times the candy will be pink

• 4/15 (8/30) times the candy will be red

• 2/5 (12/30) times the candy will be green

[tex] \frac{20}{30} > \frac{12}{30} > \frac{8}{30} [/tex]

Red candies will be least likely to be pulled.

in thier last game the schook football team scored an equal numbwr of points in each of the first 3 quaters then 14 in the fouth quater if the scored 44 points in the in all how many points did they score for the first quater​

Answers

Answer:

they scored 10 in the first quarter

Step-by-step explanation:

44-14=30

30 divided by 3 = 10

(i got divided by 3 because its 3 quarters and i have to figure out the amount for 1 quarter)

Compañeros de pintas gratis ... disfruta: D

Answers

Answer

THank you

Step-by-step explanation:

Answer:

gracias amigo

Step-by-step explanation:

ten un buen fin de semana se te aprecia se te aprecia

The function f(x) = 34,000(1.05)* can be used to
determine Noah's cost of living in Houston over time.
What does the 1.05 represent?
A The cost of living will increase by approximately 1% each year
B The cost of living will decrease by approximately 1% each year
C The cost of living will increase by approximately 5% each year
D The cost of living will decrease by approximately 5% each year

Answers

9514 1404 393

Answer:

  C  The cost of living will increase by approximately 5% each year

Step-by-step explanation:

If we assume your function is ...

  [tex]f(x)=34000(1.05)^x\qquad\text{x is years}[/tex]

Then the growth factor 1.05 represents a growth rate of 1.05 -1 = .05 = 5% per year. The positive growth rate means the cost of living is increasing.

Noah's cost of living is increasing about 5% per year.

Tentukan nilai limit x->3 x2-9/x-3

Answers

Answer:

6

Step-by-step explanation:

Factor the numerator, difference of squares

[tex]\frac{(x-3)(x+3)}{x-3}[/tex] ( cancel x- 3 on numerator/ denominator )

= x + 3

limit as x → 3 = 3 + 3 = 6

A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 ounces. A sample of cartons is periodically selected and weighed to determine whether underfilling or overfilling is occurring. If the sample data lead to a conclusion of underfilling or overfilling (in other words, if they lead to a conclusion that the mean weight is different from 32 ounces), the production line will be shut down and adjusted to obtain proper filling. What conclusion is appropriate when H0 cannot be rejected

Answers

Answer:

There is no significant evidence to conclude that the mean weight of laundry detergent is being underfilled or overfilled.

Step-by-step explanation:

The null hypothesis ; H0 : μ = 32

The alternative hypothesis : H1 : μ ≠ 32

The null hypothesis is the initial truth statement, therefore, when the Null hypothesis cannot be rejected, the conclusion goes thus :

There is no significant evidence to conclude that there is difference in the mean weight of laundry detergent. Hence, detergent is neither being underfilled or overfilled.

Jozy throws a stone off of a bridge into a river. The function fff models the stone's height (in meters) above the water as a function of time (in seconds) after Jozy throws it. Plot the point on the graph of fff that corresponds to the height above the water from which Jozy threw the stone.

Answers

Answer: it’s 25 from the height line

Step-by-step explanation:

Answer:

0,25

Step-by-step explanation:

I suck at math lololol

Answers

2 and 4

Step-by-step explanation:

This image shows an example on corresponding angles.

Answer:

Angle 2 and 4

I need help please is for tomorrow):

Answers

Answer:

Step-by-step explanation:

If a number gets increased by scale factor = k

Then k > 1

If the number gets decreased by a scale factor 'k'

Then 0 < k < 1

Let numbers gets increased by the scale factor = 2,

And decreased by the scale factor = [tex]\frac{1}{2}[/tex]

Numbers             Scale up by 2           Scale down by [tex]\frac{1}{2}[/tex]

   0.05                  0.05 × 2 = 0.1             0.05 × [tex]\frac{1}{2}[/tex] = 0.025

    [tex]\frac{1}{2}[/tex]                        [tex]\frac{1}{2}\times 2 = 1[/tex]                      [tex]\frac{1}{2}\times \frac{1}{2}=\frac{1}{4}[/tex]

    7                       7 × 2 = 14                     7 × [tex]\frac{1}{2}[/tex] = 3.5

   13                      13 × 2 = 26                  [tex]13\times \frac{1}{2}=6.5[/tex]

   25                     25 × 2 = 50                 [tex]25\times \frac{1}{2}=12.5[/tex]                

  102                   102 × 2 = 204              [tex]102\times \frac{1}{2}=51[/tex]

Please Help ill make brainliest 15 points

A:149
B:153
C:225
D:297

Answers

Answer: 225 square feet

Step-by-step explanation:

We find the area of the 4 triangle and the area of the rectangle and thereafter we add everything together.

Area of triangle 1 = 1/2 base × height

= 1/2 × 12 × 8

=96/2

=48

Area of triangle 2 = area of triangle 1= 48( because the opposite triangle are congruent so they have equal base and height)

Area of triangle 3 = 1/2×base×height

= 1/2 × 6 ×9.5

= 57/2

=28.5

Area of triangle 4=Area of triangle 3 = 57 (the opposite triangle are congruent and so they have the same base and height hence the same area)

Area of the rectangle = length×breadth

=12 × 6 =72

Total surface area = addition of all the areas of the triangles and the rectangle

Total surface area= 48+48+57+57+72 = 225

Therefore, the total surface area is 225 square feet

Please help someone, give me correct answer to these 2 problems.

I will mark you brainliest for the correct answer.

Please help!!!!!

I need the answer to both pictures!!!!!!!

Answers

Answer:

60° 60° 60°

60°

Step-by-step explanation:

In any triangle, the sum of its interior angles is 180°, and 60+60+60=180.

As for the other question, we can see that angle5=angle1, and angle6=angle2, due to the parallelism of the lines.

Angle5+angle6=180°, therefore

Angle6=180-120=60°=angle2

Casey recently purchased a sedan and a pickup truck at about the same time for a new business. The value of the sedan S, in dollars, as a function of the number of years t after the purchase can be represented by the equation S(t)=24,400(0.82)t. The equation P(t)=35,900(0.71)t2 represents the value of the pickup truck P, in dollars, t years after the purchase. Analyze the functions S(t) and P(t) to interpret the parameters of each function, including the coefficient and the base. Then use the interpretations to make a comparison on how the value of the sedan and the value of the pickup truck change over time.

Answers

Answer:

Step-by-step explanation:

Because many objects are not regularly shaped their volume cannot be determined using a volume formula. The volume of these objects can be found by water displacement. A volume of water sufficient to cover the object is placed in a graduated cylinder and the volume read. The object is added to the cylinder and the volume read again. The difference between the two volumes is the volume of the object. This method is demonstrated using the same battery used above.

Answer:

Because many objects are not regularly shaped their volume cannot be determined using a volume formula. The volume of these objects can be found by water displacement. A volume of water sufficient to cover the object is placed in a graduated cylinder and the volume read. The object is added to the cylinder and the volume read again. The difference between the two volumes is the volume of the object. This method is demonstrated using the same battery used above.

Step-by-step explanation:

which inequality is graphed below?

Answers

d. the last answer choice

I WILL GIVE BRAINLIEST!!!

Answers

g(x)= (x + -5)²  minus -8= 33
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