Triangles ABC and CDE are mathmatecilly similar. work out the length of DE. WORK OUT THE LENGHT OF AB
Answers
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]
Related Questions
Katie answered 2/3 of a 15 problem math correctly. How many questions did Katie answer incorrectly?
Answers
so i believe she got 5 incorrect
HOW DO YOU WRITE THIS IN A SYSTEM OF EQUATIONS?
Answers
Answer:
2x+105=-3x+130
im putting all the questions in one to make it easier
Answers
I'll focus on problem 19 and problem 22
============================================================
Problem 19
Answers:
x = 87x+15 = 102-------------------------------
Explanation:
The horizontal lines are parallel. Note the arrow markers along the interior portion of the lines. These similar markers tell us how the lines pair up to be parallel to one another.
Since the horizontal lines are parallel, this means the angles in question are congruent. They are corresponding angles.
x+15 = 102
x = 102-15
x = 87
Which leads to
x+15 = 87+15 = 102
============================================================
Problem 22
Answer: y = 27
-------------------------------
Explanation:
We have a pair of alternate exterior angles. They are congruent due to the parallel lines.
Let's solve for y.
7y-55 = 3y+53
7y - 3y = 53+55
4y = 108
y = 108/4
y = 27
Help ASAP!!
Find the composition of
transformations that
map ABCD to EHGF.
Reflect over the x-axis,
then translate
(x+[?],y+[]).
D
3
-1
0
5
H
G
Answers
Answer:
x+6 y+3
Step-by-step explanation:
The translation shows a horizontal shift to the left by 6 units and vertical shift up by 3 units
Reflection of coordinate pointsReflection of any coordinates are mirror images of each other.
The reflection rule of the coordinate over the x-axis is given as:
(x, y) -> (x , -y)
Using the coordinate (-1, 2) on the image on the left and (5, 1) for the coordinate on the right.
Reflecting (-1, 2) over the x-axis is (-1,-2). In order to determine the translation used from (-1, -2) to (5, 1)
(-1+x, -2+y) = (5, 1)
-1 + x = 5
x = 6
-2 + y = 1
y =3
The translation shows a horizontal shift to the left by 6 units and vertical shift up by 3 units
Learn more on translation here: https://brainly.com/question/12861087
#SPJ2
8 dinosaurs in the valley eat meat and 40 dinosaurs in the valley eat vegetation. What is the unit rate of dinosaurs that eat vegetation to the total number of meat eating dinosaurs in the valley?
Answers
Answer:
5
Step-by-step explanation:
8 dinosaurs in the valley eat meat
40 eat vegetation
Therefore the unit rate of dinosaurs that eat vegetation to those that eat meat can be calculated as follows
= 40/8
= 5
Simplify the expression: (7x + 4)(2) =
Answers
Answer:
14x+8
Step-by-step explanation:
Which of the following equations represent exponential growth functions? Choose all that apply.
a) f (x)=4^x
b) f (x)=(1/4)^-x
c) f (x)=(2/3)^x
d) f (x)= (2.3)^x
e) f (x)=(.8)^x
Answers
Option:-
a) f(x) = 4^x is applicable
b) f(x) ={ (1/4)^-x = 4^x }is applicable
c.) f(x) = (2/3)^x is not applicable
d.) f(x) = (2.3)^x is applicable
e.) f(x) = (.8)^x is not applicable
Options (a), (b) and (d) are exponential growth functions.
What is Exponential function?An exponential decay is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier which is less than 1.
By the Exponential decay form,
An exponential decay is in the form: y = abˣ
(a) f (x)=4ˣ is applicable as 4>1
(b) f (x)=(1/4)⁻ˣ is applicable as (1/4)-1=4>1
(c) f (x)=(2/3)ˣ is not applicable because 2/3<1
d) f (x)= (2.3)ˣ is applicable as 2.3>1
e) f (x)=(.8)ˣ is not applicable, 0.8<1.
So options (a), (b) and (d) are applicable for exponential growth functions.
To learn more on exponential functions click:
https://brainly.com/question/15352175
#SPJ2
plz answer only if you know ur correct. the best answer gets brainliest
Answers
Answer:
b and e are correct and f maybe
Step-by-step explanation:
What is an equation of the line that passes through the points (6, 8)(6,8) and (-3, 2)(−3,2)?
Answers
Answer:
Hi how are you doing today Jasmine
The grocery store had 4lb bag of oranges for 4.80$ and a 6lb bag for 6.18$ . What is the difference of the 4lb bag of oranges and the 6lb bag of oranges
Answers
Answer:
$1.38
Step-by-step explanation:
The grocery store had 4lb bag of oranges for 4.80$ and a 6lb bag for 6.18$ . What is the difference of the 4lb bag of oranges and the 6lb bag of oranges
The cost difference is calculated as:
Cost of 6lbs of oranges - Cost of 4lbs of oranges
Cost of 6lbs of oranges = $6.18
Cost of 4lbs of oranges = $4.80
Hence,
= $6.18 - $4.80
= $1.38
please please help, if you could show work too that would be amazing!
Answers
Answer:x=75
Step-by-step explanation:
They are opposite of eachother so they are equal to eachother
2x= 130
x= 75
Five students each wrote an expression to represent the perimeter of the given rectangle. Terrell wrote this correct expression: (2x + 2x) + (5x + 5x) + (1 + 1). Circle the name of the student who wrote an incorrect expression. Explain why the expression is incorrect. Anya: 2x + 2x + 5x + 1 + 5x + 1 Katrin: 2(5x + 1) + 2x Luis 2(2x) + 2(5x + 1) Steve: 1 + 1 + x(2 + 2 + 5 + 5)
Answers
Answer:
Luis wrote an incorrect expression.
Step-by-step explanation:
As per Terrell, the correct expression is (2x+2x) + (5x+5x) + (1+1) which is equal to 12x + 2
For you who got incorrect answer, the answer if you simplified it must be 12x + 2. Let's check:
Anya 2x+2x+5x+1+5x+1 =
12x + 2 [CORRECT]
Katrin 2(5x+1) + 2x
10x+2+2x
12x + 2 [CORRECT]
Luis 2(2x) + 2(5x+1)
4x+10x+2
14x + 2 [INCORRECT]
Steve 1+1+ x(2+2+5+5)
2+ x(12)
12x + 2 [CORRECT]
PLEASE HELP (don't put fake answers !!)
Answers
Answer:
=33.55 m^2
Step-by-step explanation:
The area of the trapezoid is
A = 1/2 a(b+c) where a is the height and b and c are the bases
A = (1/2 *5.5)(5+7.2)
= 2.75(12.2)
=33.55 m^2
Answer:
i resubmitted my Persuasive Argument: Letter to Gov. Abbott Choice
Step-by-step explanation:
Help guys?
What is the length of QR if thetaθ = 56° and RS = 31? Round to the nearest hundredth.
Answers
Answer:
dufjrjgjfjfjcjcjcjcjfjf
Step-by-step explanation:
fjfjdjfjfjfjfux
their ifug if do live Oro oe8. rock rocket ka for el of since iritable fist
Answer:i dunnoStep-by-step explanation:
WILL MARK YOU BRAINLIEST SHOW WORK PLZ
Answers
Answer:
5) because ABCD is a rectangle => AC = BD
<=> 4x - 5 = 3x - 1
<=> 4x - 3x = -1 + 5
<=> x = 4
6) because EFGH is a rhombus
=> HF is the bisector of the angle EHG
=> EHF = GHF
<=> 3x - 15 = 2x + 9
<=> x = 24
pls answer i need the answer
Answers
Answer:
(-2,5)
Step-by-step explanation:
4x+4y=12
6x-4y=-32
10x=-20
x=-2
4(-2)+4y=12
-8+4y=12
4y=20
y=5
Find the median of the following data: 1, 6, 12, 19, 5, 0, 6
Answers
Answer:
8 is the median of the data given
Hope it helps
Dm em if it helps
John ordered three lobsters.the fist one weighed 3.2 pounds,the second weighted 1.75 pounds,the third 1.9 pounds what is the total weight of the three lobsters
Answers
Add them all up, 3.2 + 1.75 + 1.9 = 6.85
The total weight is 6.85 pounds.
Find the missing angles
Answers
Answer:
What is 4w -7 = 6w + 31 ?
Answers
Answer:
w = -19
Step-by-step explanation:
Move the 6w to the left and 7 to the right.
4w-6w=31+7
Combine like terms
-2w=38
Divide by negative 2.
w=-19
-2w = 38
-2w/-2 = 38/-2
w = -19
when is season 3 of Jurassic Park camp Crutasus coming out TELL ME THE REAL ANSWER
Answers
Jurassic Park: Camp Cretaceous season 3 is planned to release anywhere from September to October of 2021.
Answer:
It depeands on where you live but it should be out in America on January 30, 2021
Step-by-step explanation:
6 of 12
© Dale is following this recipe to make shortbread fingers.
Dale uses 150 g of butter.
How many shortbread fingers does he make?
Recipe: Makes 20 fingers
125 g butter
55 g sugar
180 g flour
Answers
3x2 + 5x + 7 = 0.
what's the discriminant
Answers
I saw answers like 22, but that’s not an option
Answers
Answer:
the answer is 57
Step-by-step explanation:
Beth works at a furniture store.
She earns $1,200 a month plus 3% commission on all the furniture she
sells.
She sold x dollars worth of furniture this month.
Which expression represents the amount of money Beth earns this
month?
A. 1,200 + 0.03x
B. 1,200 + 1.03x
C. 1,200(0.03x)
D. 1,200(1.03x)
Answers
Answer:
A
Step-by-step explanation:
HAD QUESTON
CAN SOMEONE PLEASE HELP, ILL GIVE BRAINLIEST.
Answers
Hi everyone,Can someone please help me please please I really really need help please answer it correct
Answers
Answer:
0<x<3
4<x<6
9<x<10
..........
Answer:
Hope it helps you
Step-by-step explanation:
Decreasing: A function is decreasing, if as x increases (reading from left to right), y decreases. In plain English, as you look at the graph, from left to right, the graph goes down-hill. The graph has a negative slope
So in given graph ,
Decreasing interval are ,
1) 9<x<10
2) 0<x<3
I done it using above definition you also check it from any other source and confirm it ..
If the m<5 is 63 degrees , find the measure of <3
Answers
Answer:
Diagram manditory
GOOD LUCK FOR THE FUTURE! :)
What is the value of n?
Answers
180-142=38
180-133=47
180-38-47=95
180-95=85 degrees
B
Answer:
B. 85 degrees
Step-by-step explanation:
To find the top angle inside the tringle, do 180-133 = 47. To find the angle on the left, do 180 - 142 = 38. Do 180 - 47 + 38 = 95 to find the final angle. Then do 180-95 = 85 to find the angle wanted. This is all about using lines, because the angles on both sides of the line must add to 180 if one of the lines they lie on is the same. Hope this makes sense.
Cody leaves his home and cycles 5y miles south, then cycles (2y + 10) miles east. Finally, he cycles (4y + 8) miles south and reaches his school. How far does Cody cycle (in terms of y)?
Answers
Answer:
11y + 20
Step-by-step explanation:
Given that:
Distance south = 5y miles
East = (2y + 10) miles
Final = (4y + 8) miles
Total cycle in terms of y
Take the sum of the distances :
5y + 2y + 10 + 4y + 8
11y + 20