Mathematics Middle School

you can use similar triangles to find the height of a tree. Triangle ABC is similar to triangle DEC. what is the height of the tree?

please explain it too ^_^


You Can Use Similar Triangles To Find The Height Of A Tree. Triangle ABC Is Similar To Triangle DEC.

Answers

Answer 1
So if triangle ABC is similiar to triangle DEC then we know that when two figures are similar, the ratios of the lengths of their corresponding sides are equal.So we can write:

AC/DC = BC/EC =AB/DE = k

BC= 9ft + 6ft = 15

BC/EC= k
15/6=k

Now that we know the k we can find the height of the tree that's equal to AB:

AB/DE= k
AB/4=15/6
6AB= 15 x 4
AB= 60/6 = 10

The height of the tree is 10ft


Answer 2

The height of the tree is 10 feet.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the ratios of the lengths of the corresponding sides are equal when two figures are similar, if triangle ABC and triangle DEC are similar, then we may write,

AC/DC = BC/EC = AB/DE = k

BC= 9ft + 6ft = 15

BC/EC= k

15/6=k

Now from this value of 'K' we can determine the height of the tree which is,

AB/DE = k

AB/4 = 15/6

6AB = 15 x 4

AB = 60/6 = 10

The height of the tree is 10ft.

learn more about triangles here :

https://brainly.com/question/16886469

#SPJ2

Related Questions

Help what does this mean

Best answer I will mark as brainliest

Answers

It’s rooster nuts lol
Is it chicken seed?

I hope this helps! 



What happens to the arrangement of water molecules as ice melts?


Molecules release enough energy to move from their fixed positions.

Molecules release enough energy to escape as vapor.

Molecules gain enough energy to move from their fixed positions.

Molecules gain enough energy to escape as vapor.

Answers

I think its either b or c
Molecules gain energy to move from their fixed positions.

How do you write 81/50 as a percentage?

Answers

so you take 81/50 x100 so 81/50=1.62.
1.62x100=162
=162%
hope this helps
pues hasta donde mi conocimiento me permite creo que 1.62%
si tenemos que tenemos una escala de 1 a 100%

fill in the blanks with two rational numbers (other than 1 and -1)

Answers

It will be negative 5
Yeah it will be negative five

After m months, the height of a plant is 10+3m millimeters. How tall is the plant after 8 months? 3 years?

Answers

for 8 months it will be 34 mm. for 3 years it should be 118 mm

After 8 months, the plant is 34 millimeters tall, and after 3 years (36 months), it's 118 millimeters tall.

To find the height of the plant after 8 months and 3 years, let's first understand the pattern. The height is given by the equation ( 10 + 3m ), where ( m ) represents the number of months.

Height after 8 months:

Substituting ( m = 8 ) into the equation:

[tex]\( \text{Height} = 10 + 3(8) \)[/tex]

[tex]\( \text{Height} = 10 + 24 \)[/tex]

[tex]\( \text{Height} = 34 \)[/tex] millimeters.

Height after 3 years (36 months):

Substituting ( m = 36 ) into the equation:

[tex]\( \text{Height} = 10 + 3(36) \)[/tex]

[tex]\( \text{Height} = 10 + 108 \)[/tex]

[tex]\( \text{Height} = 118 \)[/tex] millimeters.

So, after 8 months, the plant is 34 millimeters tall, and after 3 years (36 months), it's 118 millimeters tall.

According to the school survey, 12% of the students at Rockwood Junior High School speak Spanish. There are 36 students at the school who speak Spanish. How many students were surveyed?

Answers

mean=np
36=(0.12)n
n=300
300 students were surveyed.
That's the way I answer in my country but I'm not sure about this solution is correct in your school or not.

Answer:

300 students were surveyed.

Step-by-step explanation:

We are given the following information in the question:

Percentage of students at Rockwood Junior High School who speak Spanish = 12%

Number of students at Rockwood Junior High School who speak Spanish = 36

We have to find the total number of students who surveyed:

Formula:

Let x be the total number of students who were surveyed.

[tex]12\% \text{ of }x = 36\\\\\displaystyle\frac{12}{100}\times x = 36\\\\x = \frac{36\times 100}{12}\\\\x = 300[/tex]

Thus, 300 students were surveyed.

The ratio of boys to girls in the school chorus is 3:2. If there are 39 boys in the chorus, how many girls are in the chorus?

A) 36 girls
B) 26 girls
C) 24 girls
D)58 girls

Answers

your answer would be B 26 girls

Answer:

The answer is 36 girls because 3:2 is 13x3 which equals 39 and 12x3=36. The ratio is 39 boys to 36 girls.

Not 26 girls.

Please help, need as soon as possible

Answers

An arithmetic sequence is one where you add (or subtract) a certain number to change the value. For the first sequence, it's clear that we subtract 4 every time, so that is arithmetic. Next, we constantly go from positive to negative, so we can be sure that we don't add the same number every time. For the third one, (-5.0-(-8.6))=3.6, and for -1.4-3.6 we get -5, showing that we add 3.6 for every value and the sequence is therefore arithmetic. For the fourth one,
(-3.1-(-6.2))=3.1, but -1.55-3.1 is not 3.1, showing that that is not arithmetic. For the last one, 3-(-3)=6, 9-3=6, etc. proving that you add 6 every time and the sequence is therefore arithmetic.

The Smiths spend 11% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year they plan to spend $4,950 on entertainment. What was their total budget last year?

Answers

Hi,
11%= $4950
1%= $4950/ 11
     = $450
100%= $450 x 100 
         = $45 000 (this year)
Last year= $45 000- $2000
               = $43 000
Hope this helps:))

~Top

0.12 or 1.2% which is greater

Answers

1.2% is the greater percentage.
0.12% isn’t a full percent, the decimal determines the greatness of the two

1.2% is the larger number

1.2% is the greater percentage than 0.12

What is the percentage?

A percentage is a minimum number or ratio that is measured by a fraction of 100.

We need to find 0.12 or 1.2% which is greater

0.12 isn’t a full percent, the decimal determines the greatness of the two number.

1.2% is the larger number.

1.2% = 1.2/100

= 0.012

Therefore, 1.2% is the greater percentage than 0.12

Learn more about percentages;

brainly.com/question/24159063

#SPJ3

Henry has a bag containing 35 letter tiles some consonants and some vowels He selects a tile without looking and then replaces it if he pull 3 consonants tiles and 4 vowel tiles which is the most likely number of consonant tile in Henry’s bag

Answers

So Henry pulled out a total of 7 tiles (3 consonant tiles and 4 vowel times). You take that 7 and divide the total number of tiles, 35 by it.

35/7

=5

This gives you 5

You then take that 5 and multiply it by the amount of consonant vowels he pulled out, which is 3.

5x3

=15

So your answer is...

D.) 15 Tiles

I hope this helped! : )

A pronghorn antelope can travel 105 miles in 3 hours if it continues traveling at the same speed, how far could it travel in 11 hours?

Answers

you find average speed with distance/time

average speed is 35 mph

if you multiply is by 11 you get your answer which is 385 miles

How do you change an improper to a mixed numeral

Answers

Say you have 7/2 as your improper fraction. How many times does 2 go into 7? 3 Times with one left over. Your answer would be
3 1/2

during a football game, kevin gained 5 yards on the first play. then he lost 7 yards on the second play. how many yard does kevin need on the next play to get the team back to where when they started? show your work.

Answers

5-7= -2
So to get back to 5 you need to first make the number positive so you will need to gain 2 points first making it equal . So then you need to get 5 more points to make it 5 .
So to sum it up I made the number positive when doing that your making it zero so then all you have to do is add the option Reginald number back in so here's my work

5-7= -2 -2 + 2= 0 0+5=5

Ps please rate me if u can

Carlos purchased an antique chair for $15 he later so this year for $27 to an antique dealer what was the percent markup of the chair

Answers

Okay. So, to find the percent change, we have to do change/original. In this case, it would be 12/15, because 15 and 27 are apart by 12. 12/15 is 0.8. Multiply that by 100 and you get 80. There was an 80% markup of the chair sold to the antique dealer.

Answer:  The required percent markup is 80%.

Step-by-step explanation:  Given that Carlos purchased an antique chair for $15 and later he sold it this year for $27 to an antique dealer.

We are to find the percent markup of the chair.

The markup price of the chair is given by

[tex]m_p=\$(27-15)=\$12.[/tex]

Since Carlos purchased the chair for $15, so the markup percent is given by

[tex]\dfrac{m_p}{15}\times100\%\\\\\\=\dfrac{12}{15}\times100\%\\\\\\=\dfrac{4}{5}\times100\%\\\\=80\%.[/tex]

Thus, the required percent markup is 80%.

What is the value of the function at x= -2?

Answers

I think the value would be 2.

Answer:

The correct answer is y = 2



2. At the grocery store checkout, you watch at the register as it rings up your purchases and coupons. The prices are as follows:
$2.95
$1.19
$4.61
$1.74
$3.04
$8.83
$1.16
− $0.75 (coupon)
− $1.00 (coupon)
The register gives your total bill as $21.77.
(a) Round each price and coupon to the nearest dollar and then estimate the total amount of the bill.
(b) Using your estimate, determine whether the total on the register is reasonable. Justify your answer.

Answers

Rounding goes up to the next number when a number is 5-9.
-$3
-$1
-$5
-$2
-$3
-$9
-$1
- $1 off (coupon)
- $1 off (coupon)

Rounded Total: $22
Exact Total: $21.77

B) The total on the register is reasonable because even with the rounded price at the end, it is only 23 cents off, which is good.

Answer and explanation:

Given : At the grocery store checkout, you watch at the register as it rings up your purchases and coupons.

The register gives your total bill as $21.77.

To find :

(a) Round each price and coupon to the nearest dollar and then estimate the total amount of the bill.

The prices are as follows:

$2.95  estimated to $3 as (9>5)

$1.19  estimated to $1 as (1<5)

$4.61  estimated to $5 as (6>5)

$1.74  estimated to $2 as (7>5)

$3.04  estimated to $3 as (0<5)

$8.83  estimated to $9 as (8>5)

$1.16  estimated to $1 as (1<5)

− $0.75 (coupon)  estimated to -$1 as (7>5)

− $1.00 (coupon) estimated to -$1 as (0<5)

The total amount bill is $3+$1+$5+$2+$3+$9+$1-$1-$1=$22.

So, Estimated total amount of the bill is $22.

(b) Using your estimate, determine whether the total on the register is reasonable. Justify your answer.

The register gives your total bill as $21.77.

The total on the register is reasonable because even with the rounded price at the end the price became same which is reasonable.

As 21.77 estimated to 22 as (7>5).

A classmate believes that a triangle can have both a right angle and an obtuse angle. Which of the following statements would you pick to convince him that he is incorrect
(a) It is not possible because the sum of the angles in the triangle can’t exceed 180°
(b)It is not possible because if a triangle has an obtuse triangle, that means all the angles are obtuse angles. (c) It is not possible because if a triangle has a right triangle, that means all the angles are right angles (d)It is possible. The classmate is correct

Answers

(a) It is not possible because the sum of the angles in the triangle can’t exceed 180°

A movie theater has 24 screens. The ratio of action films to other film is 1:2 in the summer. How many action films are shown?

Answers

12:12 would be an even ratio of 1:1 but since you have a ratio of 1:2 you would take away half of the action movies and add it to the other category so the ratio would be 6:18 (1:2 if reduced) meaning 6 action films would be shown.

Answer:

8 action films being shown

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

Based on this question we can see that the movie theater has 1 action movie for every 2 other type of movies. We can add these two numbers together and divide by 24 to find out how many action movies are playing compared to the other types of movies.

[tex]1 + 2 = 3[/tex]

[tex]24 / 3 = 8[/tex]

8 action movies : 16 other type of movies

As we can see from the adjusted ratio above, there are 8 action films being shown

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

which is an estimate of square root of 15 to one decimal place?

Answers

3.9 is the estimated square root of 15 to one decimal place
3.9 will be the estimate 

Addition and __?___ are operations you can use to join __?____?

Answers

Answer: The correct answer is:

Addition and multiplication are operations you can use to join equal groups.

Step-by-step explanation:  Confirmed correct.

Peaches are being sold for $2 per pound. If x represents the number of pounds of peaches bought and yrepresents the total cost of the peaches, which best describes the values of x and y?

Answers

1) x = pounds/peaches bought
2) y = total cost of the peaches
3) formula would be: y = $2x

but i don't understand what you'd want to know...

Let

x----------> represents the number of pounds of peaches bought

y----------> represents the total cost of the peaches

we know that

Peaches are being sold for [tex]2\frac{\$}{pound}[/tex]

so

the equation that best describes the values of x and y is equal to

[tex]y=2x[/tex] or [tex]x=y/2[/tex]

The relationship between the two variables, x, and y, represent a direct variation

therefore

the answer is

[tex]y=2x[/tex] or  [tex]x=y/2[/tex]

How to subtract 4/5 and 3/10 in simplest form

Answers

First you must find a common denominator. In this case 10 will work. You then multiply the top number by whatever you multiplied the bottom number by. This is shown below:
4/5- 3/10 = 8/10- 3/10 
You can now solve this to get 5/10. This answer can then be reduced to 1/2. 
1- find a common denominator of 5 and 10. Their least common denominator is 10 so convert 4/5 to a fraction with a denominator of 10 ( 8/10). Now subtract 3/10 from 8/10 to get 5/10.

A customer has six (6) $1 bills, three (3) $5 bills, four (4) $10 bills, seven (7) quarters, ten (10) dimes, seven (7) nickels, and nine (9) pennies. The customer buys a pair of shoes for $49.86. Based on the combination of bills and coins the customer has, what are the least number of bills and coins the customer can give the cashier in order to buy the shoes for the exact amount and not require any change back?

Answers

The customer would have to use 4 $10 bills, a $5 bill, 4 $1 bills, 3 quarters, 2 nickles and a penny.

what is 10% as a decimal?

Answers

Hi there!

10% as a decimal is 0.1

To find the decimal of a percentage, just divide the percentage by 100.

10/100 = 1/10 = 0.1

I hope this helps!

what is the preimter and area of a rectangle that is 30 inchs long and 39 inchs wide

Answers

Multiple both numbers by 2 since there are 2 of them on a rectangle. After, add them.

30 x 2 = 60
39 x 2 = 78
60 + 78 = 138

And never forget to label your units!

The perimeter of the rectangle is 138 inches.

To get the area, multiply the sides by each other.

30 x 39 = 1170

The area of the rectangle is 1170 inches^2, or 1170 inches squared.
Perimeter is 138 (60*2+39*2)

Area is 1170 (30*39)

There are 5 flower gardens in front of the building where Eddie works. Eddie has 40 red and 80 white flowering plants to put in the gardens. How many plants will be in each garden, if he plants the same number in each?

Answers

24 plants will be in each garden. 
Five flower gardens with 120 plants to plant in the gardens. 

120 / 5 = 24

24 plants will be in each garden.

4. An angle of 200° is a/an _______ angle.

Answers

Hello There!

Angles under 90° are called acute angles
Angles that are 90° are called right angles
Angles that are between 90° and 180° are called obtuse angles
Angles that are 180° are called straight angles
Angles that are between 180° and 360° are called reflex angles.

An angle of 200° is a/an reflex angle.

Hope This Helps You!
Good Luck :) 

- Hannah ❤
Reflex angle because straight is 180 and right is 90 and acute is less than 90
 thanks hope this helps 

If y=-7 when x=-21, what is the value of x when y=9

Answers

y=-7=x+14 if x - -21

So then when y=9, 9=x-21.
Solve for x.
x=9+21
x=30
You'd be well advised to identify the type of problem you're working with.  Is this problem one of direct proportion (as I think it is)?  If so, say so.

If y = -7 when x = -21, then y  = (1/3)x, and (1/3) is the constant of proportion.

A similar truth is that x = 3(y), as -21 = 3(-7)

So, if y=9, x = 3(9) = 27

8x-3y=6-4x in linear equation

Answers

It would be y=4x-2 because:
8x-3y=6-4x
-8x         -8x
-3y=6-12x
/-3  /-3 /-3
y=-2+4x
y=4x-2
Other Questions
The equation cos(35o) =a/25 can be used to find the length of . What is the length of bc? Round to the nearest tenth Which expression represents the phrase, "one third the sum of 12 and a number"?13(12)+x13x+1213+12+x13(12+x) An argument gives you the opportunity to:A.) ask someone to accept your position B.) show people they are wrong C.) make people listen to you C.) prove someone's mistakes For deep processing to occur, it is better to study in __________ session(s) than in __________ session(s). In a free recall task, an individual is asked _____. to recall as much information as possible about a particular topic in any order to recall a series of items or numbers in a particular order to recall pairs of items that had been previously memorized to select the correct answer from a range of alternatives to reproduce information that has been previously committed to memory Which is true about the monroe doctrine?a.it gave europe the message that the western hemisphere was no longer open for colonization.b.it called for an embargo of any european nation competing for colonies in africa and southeast asia.c.it led to a government policy of non-intervention and non-interference in the domestic affairs of latin america. eliminated.it called for immediate military intervention in any latin american country experiencing unrest or political instability? WILL GIVE BRAINEST if f(x)=2x-5 and g(x)=x2..... Beginning with the flow phase, arrange the biochemical processes in the order in which they occur during the menstrual cycle. TilesFSH and LH stimulate the follicles to develop and the oocyte to produce estrogen.A breakdown of corpus luteum causes progesterone levels to drop.A spike in LH causes the follicle to rupture.The endometrial lining breaks down and low levels of estrogen stimulate the pituitary to release FSH and LH.Rising estrogen levels suppress FSH production and development of other follicles.High progesterone levels maintain the endometrial lining of the uterus.Sequence What was the Virginia plan? Why is it sometimes effective to refer to a known myth or work of art in the title of a literary work? A.It makes the work appealing to all readers. B.It makes the language seem more beautiful. C.It comments on modern audiences' feelings about the myth or work of art. D.It creates meaning for the audience because the audience is familiar with the myth or work of art. The radius of a large sphere is 8 times the radius of a small sphere. the surface area of the large sphere is how many times the surface area of the small sphere? Which equation will help you solve this problem? Each boxcar in a toy train is the same length. There are 3 boxcars. Their total length is 21 inches. How long is each boxcar? how does connotation and/or denotation help you understand the tone of a piece of writing. Constantinople's trade with Russia resulted in Byzantine influence in the areas of religion andA)cuisine.B)marriage.C)agriculture.D)architecture.Aside from theological and political disputes, another main contributing factor in the schism of the Eastern and Western churches was the problem ofA)invasions.B)language.C)law.D)persecution Which theoretical focus would be most interested in research examining the idea that men are more likely to interrupt women in everyday conversation? In the first confession all of the following words can be used to describe the relationship between Jackie and the priest except? Tim made a down payment of $1,000. He pays $450 for 36 months. What is the total amount he pays for the car? BIBLE CLASSThe Israelites crossed the __________ River to get to Canaan.RedJordanor Joshua Why was the Lowell system an important U.S. industrial innovation in the early 19th century?A.It proved that if workers were paid higher wages, they would be more productive and increase a companys profits. B.It introduced a successful labor model in which employees were housed near the factories where all steps of manufacturing were completed. C.It made machines that were powered by steam engines more affordable, allowing factories to be built away from sources of running water. D.It simplified the digging of longer canals, greatly reducing the time it took to ship goods across the world. What does the equation x = 6 represent in the set of real numbers2? Steam Workshop Downloader