Triangles ABC and CDE are mathmatecilly similar. work out the length of DE. WORK OUT THE LENGHT OF AB

Answers

Answer 1

Answer:

[tex]DE = 15[/tex]

[tex]AB = 6[/tex]

Step-by-step explanation:

Given

See attachment for triangles

Required

Determine the lengths of DE and AB

To solve for DE, we make use of the following equivalent ratio

[tex]AC : BC =CE:DE[/tex]

Substitute values

[tex]8:5 = 24:DE[/tex]

Express as fraction

[tex]\frac{8}{5} = \frac{24}{DE}[/tex]

Cross Multiply

[tex]DE * 8 = 24 *5[/tex]

[tex]DE * 8 = 120[/tex]

[tex]DE = 120/8[/tex]

[tex]DE = 15[/tex]

To solve for AB, we make use of the following equivalent ratio

[tex]AB : BC =CD:DE[/tex]

Substitute values

[tex]AB : 5 = 18 : 15[/tex]

Express as fraction

[tex]\frac{AB}{5} = \frac{18}{15}[/tex]

Multiply by 5

[tex]5 * \frac{AB}{5} = \frac{18}{15}*5[/tex]

[tex]AB= \frac{18}{15}*5[/tex]

[tex]AB= \frac{18}{3}[/tex]

[tex]AB = 6[/tex]

Triangles ABC And CDE Are Mathmatecilly Similar. Work Out The Length Of DE. WORK OUT THE LENGHT OF AB

Related Questions

Please help! Will mark brainliest

Answers

Answer:

Two angles whose sum in 90 degrees

Step-by-step explanation:

the answer is A !
supplementary just means they both add up to 180 :)

Kaydence and Delilah are playing mini golf. Delilah's final score was 42. In mini golf, the player with the lowest score wins. Kaydence has 5 holes left and has a score of 27. This inequality represents x, the average number of shots she can take on each hole in order to beat Delilah's score. Which inequality shows how many shots she can take on each hole, on average, in order to beat Delilah's score? A. X < 3 B. X < 4 C. X < 10 D. X < 5

Answers

Answer:

A. X < 3

Step-by-step explanation:

Let x represent the average number of shots Kaydence can take on each hole in order to beat Delilah's score.

Delilah final score is 42 while Kaydence has 5 holes left and has a score of 27. Hence:

number of holes left for Kaydence * x < Delilah final score - Kaydence present score

That is:

5*x < 42 - 27

Simplifying gives:

5x < 15

Dividing both sides by 5 to make x the subject of the inequality:

5x / 5 < 15 / 5

x < 3

Answer:

The person from the top was correct

Step-by-step explanation:

x < 3

I WILL GIVE BRAINLIEST!!!! ANSWER QUICK!!!
Which of the following represents the general equation for the geometric sequence?


-1, -2, -4, …

a n = 2 n - 1

a n = -1 · 2 n - 1

a n = 1 · 2 n + 1

a n = 1 · 2 n - 1

Answers

Answer:

-1,-2,-4

an = a1 * r^(n - 1)

a1 = first term = -1

r = common ratio = 2

so the equation would be : an = -1 * 2^(n - 1)

Did You Find You Answer

Serina paid $194.99 for a game system and then bought 2 equally priced games if she spent a total of $284.97 what is the price, P , of one game?

Answers

The price of one game is $44.99. 284.97-194.99= 89.98. 89.98/2 = $44.99

Someone help me I don’t know how to do this

Answers

Answer:

17 and 59

Step-by-step explanation:

90-75=17 first one

180-121=59 second one plz give me brainnessttttt pllzzzz

Hey there!

So the first angle is a complementary angle, meaning that two angles put together will equal 90 degrees. Since we already know that one angle is 75 degrees, all we need to do is 90-75 and we get 15 degrees, which is the value of the missing angle.

The second angle is a supplementary angle, which means two angles equal 180 degrees. Since we know that one angle is 121 degrees, we can take that and subtract is from 180 degrees to get 59 degrees, which is the value of the missing angle.

Remember:

A complementary angle is made of up TWO angles that add up to 90 degrees.

A supplementary angle is made up of TWO angles that add up to 180 degrees.

I hope this helped!!!

Lisa types 56 words per minute. How many words can she type per second?

Answers

Answer:

1.07 for hundredths or 1.071 for thousandths

Step-by-step explanation:

60 ÷ 56

example of variations natural resources

Answers

Answer:

Sexual reproduction promotes variable gene combinations in a population leading to genetic variation. Examples of genetic variation include eye color, blood type, camouflage in animals, and leaf modification in plants

Step-by-step explanation:

#4. Which property is shown? 5(x + 4) = 5x + 20

Answers

Answer:

Distributive Property of Addition

Step-by-step explanation:

The Distributive Property of Addition states that a(b+c) = ab + ac

Let me know if this helps!

the volume of a recta

Answers

There is no graph to find the volume

You want to put a 3 inch thick layer of topsoil for a new 23 ft by 24 ft garden. The dirt store sells by the
cubic yards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic
yards.
cubic yards

Answers

46 Yards or 184 Orders of 1/4 Cubic Yards

So first you need to find the area of the plot; 552. Then you need to find out how much soil you will need. There are 12 inches in a foot so if you have 3 inches you have .25 of a foot. So you multiply 552 by .25 and get 138. 138 is how many cubic feet you need. Therefore, you need to divide this number by 3 in order to convert this to yards (3 feet in a yard). This will bring you to 46. Finally, we need to multiply this number by 4 because they only sell in 1/4 cubic yards.

Write a equation that represents the situation

Answers

Answer:

13.75 divided by 4/5

Step-by-step explanation:

hope this helped :)

Pls help me with this question

C.the solution of the system is (3,-2) because that is the point where the two lines intersect

D.the solution of the system does not appear on the graph because the axes are shown only from -5 to 5

Answers

Answer:

its b

Step-by-step explanation:

it's b yup yup yeah yeah

A cars gas mileage refers to its rate in miles traveled per gallon of gas. Kara's family is thinking about renting a camper that can travel 3½ miles on ⅓ gallon of gas. Kara wants to know the gas mileage of the camper.

Which complex fraction represents the campers gas mileage in miles per gallon?

1/3 over 7/2

1/2 over 1/3

3 over 1/3

7/2 over 1/3


Which division expression represents the campers gas mileage in miles per gallon?

1/3 ÷ 7

1/3 ÷ 7/2

7/2 ÷ 3

7/2 ÷ 1/3​

Answers

Answer: First question answer is 7/2 over 1/3

Second answer is 7/2 divided by 1/4

Step-by-step explanation:

Answer: First question answer is 7/2 over 1/3

Second answer is 7/2 divided by 1/3

Step-by-step explanation:

Alfie has £10 note He buys 3 pens costing 1.45 each and some pencils costing 90p He gets 2.05 change. How many pencils did he buy?

Answers

Answer:

4 pencils

Step-by-step explanation:

Note=  pencils costing 0. 90p

Given data

Balance= £10

pen= 3*1.45= £4.35

pencils=0.90p

change= £2.05

2.05= 10-4.35-90p

solve for p

2.05= 5.65-90p

collect like terms

5.65-2.05= 0.90p

3.6=90p

divide both sides by 90

p=3.6/0.90

p=4

please help its the last question will give brainliest

Answers

Answer:

94

Step-by-step explanation:

circumference of a circle is 2πr or πd with r being the radius or d being the diameter.

30 meters is the diameter, and 30π ≈ 94.2

This a morning work and I don't get when they say "Area of a triangle" I'm still working on it, but Im just so confused. Can you help?

Answers

Answer:(b) 100^2in

Step-by-step explanation: Well 1st area means inside so they wanted you to find the inside,  and well the answer is 100 hope it helped :)

Trigonometric functions

Answers

Answer:

in mathematics,the trigonometric functions are real function which relate an angle of a right angle triangle to ratios of two side lengths.They are widely used in all sciences that are related to geometry,such as navigation,solid mechanics,celestial mechanics,geodesy,and many others.

Find the volume of the cylinder. Use 3.14 for pi.

HELP ME PLEASE !!!

Answers

Answer: 56.52

Step-by-step explanation:

V= 3.14(r)^2*h or numerically 3.14(3)^2*2 which equals 56.52

the answer is 56.52:):):):):):)):):):

What are all the different forms to write √2 (square root of two)?

Answers

2^(1/2) is the same thing

whether the following relation represents a function. Use pencil and paper.
Explain your reasoning.
{(-4,4), (-2,2), (-1,1), (-7,7), (-8,6), (-3,5)}
Does the relation represent a function?
Ο Νο
o Yes

Answers

Answer: it’s yes because A function is a relationship between quantities
The answer is O yes the relation does represent a function

i will give brainliest
Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.

Answers

Answer:2/6 i might be wrong but whats the answer choices?

Step-by-step explanation:

Answer:

Step-by-step explanation:

You can see that (0,4) and (1,1) are points on the line. Use their coordinates to determine the slope of the line.

slope = (difference of y-coordinates)/(difference of x-coordinates)

= (1-4)/(1-0)

= -3

Given the functions f(x) = x ^ 3, g(x) = 9 and h(x) = 2x , what is an expression equivalant to f(2x) + 3g(x)/h(x) + 3?

Answers

Answer:

an expression equivalent to f(2x) + [tex]3\frac{g(x)}{h(x)}[/tex] + 3 = 8x³ + [tex]\frac{27}{2}x[/tex] + 3

Step-by-step explanation:

As given ,

f(x) = x³ , g(x) = 9 , h(x) = 2x

Now,

f(2x) = (2x)³ = 2³.x³ = 8x³

⇒f(2x) = 8x³

Now,

[tex]\frac{g(x)}{h(x)} = \frac{9}{2x} = \frac{9}{2}x[/tex]

⇒[tex]3\frac{g(x)}{h(x)} = 3.\frac{9}{2}x = \frac{27}{2}x[/tex]

∴ we get

f(2x) + [tex]3\frac{g(x)}{h(x)}[/tex] + 3 = 8x³ + [tex]\frac{27}{2}x[/tex] + 3

HELPPP PLEASE!!!! HELP

Answers

A1 x=5
2 x=7
3 t=3
B1 x=3
2 x=2
3 z= √6

Find the Area of the Figure. Do not type in the units.

Answers

We need the figure to solve it

Lane is fourteen years older than Michelle. If Lane is 33, how old is Michelle?

Answers

Answer:

19

Step-by-step explanation:

if lane is 14 years older and he is 33 to find michelle's age you just have to subtract 14 from 33 and get that that michelle is 19

Answer:

Michelle would be 19 years old

Step-by-step explanation:

33 minus 14 years is 19 because he is 33 she is 14 years younger so she would be 19 years old

Which ordered pair is a solution of y > 5x-2?

(3,13)
(1,5)
(2,7)
(4,4)

Answers

lol

Step-by-step explanation:

in a sequence of numbers, a3=3, a4=7, a5=11, a6=15, and a7=19. based on this information, which equation can be used to find the nth term in the sequence, an?​

Answers

Answer:

Step-by-step explanation:

sequence is a1,a2,a3,a4,a5,a6,a7,...

or a1,a2,3,7,11,15,...

d=a4-a3=7-3=4

a3=a1+(3-1)d

3=a1+2d

3=a1+2×4

a1=3-8=-5

an=a1+(n-1)d

an=-5+(n-1)4

an=-5+4n-4

an=-9+4n

please help me ASAP explain for brainlist.

Answers

Answer:

assuming that there are an equal number of colored marbles in the bag and their total is 20 marbles in the bag:

C) 17/20

Step-by-step explanation:

If Brian took the same test and received a score of 80 % how many questions did he get right? ( hint the test is out of 20 points )

Answers

Answer:

16

Explanation:

First you convert  

80

%

into a decimal which is  

.80

then you multiply it by  

20

.

.80

×

20

=

16

We multiply it by  

20

because that's our total and by  

.80

because that's the amount that we got correct. Had it been  

100

%

then that would mean we got every question right.

Step-by-step explanation:

The answer is 16. If the test is 20 questions, each question is 5 points. (100/20)

James has a rectangular plot of land that is 250 feet long and x feet wide. He wants to build a fence around the plot of the land. If the perimeter of the plot is 942 feet, what is the value of x?

Answers

Answer:

= 221

Step-by-step explanation:

Lenght = 250

Width= x

Perimeter = 2 (l+b) = 942

2 x (250 +x) = 942

500 + 2x = 942

2x = 942 - 500= 442

x = 442 /2  = 221

I hope Im right!!

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