Answers
Answer:
The length of the side EF is 3cm.
Step-by-step explanation:
As both triangles are similar, their corresponding sides are in proportion.
This means that:
[tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}[/tex]
[tex]\frac{3}{4.5}=\frac{2}{x}=\frac{5}{7.5}[/tex]
This proportion is called the scale factor.
Knowing this, we can find the value of x
[tex]\frac{3}{4.5}=\frac{2}{x}[/tex]
[tex]x=2 *(\frac{4.5}{3})=\frac{9}{3}=3cm[/tex]
So, the lenght of side EF is 3cm.
Related Questions
Which equation supports the given conjecture?
The difference of two odd numbers is an even number.
A.
23 – 19 = 4
B.
16 – 10 = 6
C.
17 – 12 = 5
D.
3 + 5 = 8
Answers
hope this helped ^_^
~nana!~
A)What is the difference between the highest elevation in Alabama and lowest elevation in Louisiana?
B) find the difference between the lowest elevation in New Mexico and the lowest elevation in California.
C) find the difference between the highest elevation in florida and the lowest elevation in California?
D) what is the Difference between the lowest elevation in Alabama and the lowest elevation in Louisiana?
Plzzzz help me
Plz :(:
Answers
Answer:
Part (A) the difference is 2,415 feet.
Part (B) the difference is 3,124 feet.
Part (C) the difference is 627 feet.
Part (D) the difference is 8 feet.
Step-by-step explanation:
Consider the provided table:
Part (A) The difference between the highest elevation in Alabama and lowest elevation in Louisiana.
highest elevation in Alabama is 2,407 and Lowest elevation in Louisiana is –8
Subtract the lowest elevation in Louisiana from the highest elevation in Alabama as shown:
2,407 – (–8 )= 2,407 + 8 = 2,415
So, the difference is 2,415 feet.
Part (B) the difference between the lowest elevation in New Mexico and the lowest elevation in California.
Lowest elevation in New Mexico is 2,842 and the lowest elevation in California is –282.
Subtract the lowest elevation in California from the lowest elevation in New
Mexico as shown.
2,842 – (–282) = 2,842 + 282 = 3,124
So, the difference is 3,124 feet.
C) The difference between the highest elevation in Florida and the lowest elevation in California.
Highest elevation in Florida is 345 and the lowest elevation in California is –282.
Subtract the lowest elevation in California from the highest elevation in Florida as shown.
345 – (–282) = 345 + 282 = 627
So, the difference is 627 feet.
Part (D) The Difference between the lowest elevation in Alabama and the lowest elevation in Louisiana.
Lowest elevation in Alabama is 0 and the lowest elevation in Louisiana is –8.
Subtract the lowest elevation in Louisiana from the lowest elevation in Alabama.
0 – (–8) = 0 = 8
So, the difference is 8 feet.
The triangle below has a total perimeter of 450 cm:
picture of a triangle with sides 128 and 150. Third side unknown
Write an equation and solve it to find the length of the longest side of the triangle.
Answers
So the longest side is 172 cm
The weight of an elephant is 1000 times the weight of a cat. If the elephant weighs 14,000 pounds how many pounds does the cat weigh
Answers
x= weight of the cat
14,000=1,000x
x=14 pounds is what the cat weighs.
Check: 14*1,000= 14,000
if a piece of ribbon is 6 1/4 feet long ,how long is it in inches
Answers
the answer is 75 inches.
a quarter of a foot is 3.
6 * 12 = 72 so 72 inches.
EDIT: 72 + 3 = 75
Whenever she visits Oakdale, Karin has to drive 55 kilometres due north from home. Whenever she visits Brookfield, she has to drive 48 kilometres due east from home. How far apart are Oakdale and Brookfield, measured in a straight line?
Please show work <3
Answers
A baker decorates 42 cupcakes in 30 minutes. She decorates cupcakes at a constant rate. How many cupcakes can the baker decorate per minute?
Answers
If the baker decorates 42 cupcakes in 30 minutes and you have to find a minute you have to divide 42 by 30 to find your answer which is 1.4 cupcakes a minute.
Hope this helps!
after simpiflying an equation, Juana gets 6=6. explain what this means
Answers
Two planes leave airport at the same time, one traveling south and one traveling west. If three hours later they are 500 miles apart and the plane flying south has traveled 200 miles farther, how far did the one flying west travel?
Answers
the number of students enrolled at a college is 15,000 and grows 4% each year
Answers
The words regarding growth factor for the given blanks are a) 15000, b) 0.04, 1.04, c) 15000 × 1.04 and d) y = 15000(1.04)ˣ
What is growth factor?The growth factor refers to a specific part of an exponential function. This is the base of an exponential function.
Given is a black statement, we need to find the words to be filled in them,
a) The number of students enrolled at a college is 15,000 and grows 4% each year,
Since, the number of students at time of enrollment is 15000, therefore, the initial amount = 15000
b) The percent rate of change is 4%, so the growth factor b is 1 + ______ = ______
Here, the percent rate of change is for growth, therefore,
the growth factor = 1 + 0.04 = 1.04
c) To find the number of students enrolled after one year, you calculate
15,000....
To find the number of students after one year = 15000 × 1.04
d) Complete the equation y = ?
The equation for the same will be =
y = 15000(1.04)ˣ
Hence, the words regarding growth factor for the blanks are a) 15000, b) 0.04, 1.04, c) 15000 × 1.04 and d) y = 15000(1.04)ˣ
Learn more about growth factor, click;
https://brainly.com/question/9814787
#SPJ2
can someone plz help me.
Answers
4ax+by=3 , 6ax+5by=8
Answers
2. x=8-5by/6a
What is the justification for each step in solving the inequality? -5(4x+6<-18x+6+4x
Answers
Everything looks correct except for the step to get to -6x < 36. Here you put multiplication property of order, and to get here you have to add 30 to both sides, so it would actually be the addition property of order.
I hope I helped!
HELP ASSAPP WITH THIS QUESTION
Answers
find the next three terms in this sequence 1,4,9,16,25
Answers
3 5 7 9 ...
The next 3 terms are 36, 49, and 64.
Hope this helps!
1,4,9,16,25,36,49,64,81,100...
Drag and drop the answer into the box to identify each function as linear, exponential, or neither.
x 2 3 4
f(x) 5.5 7 8.5
x 0 3 6
f(x) 1 8 64
Answers
f(x) 5.5 7 8.5
The first function is linear. When you subtract 5.5 from 7, you get 1.5 and when you subtract 7 from 8.5 you also get 1.5. That's how we know it's a linear function because there's clearly pattern. HOWEVER, if you had 5.5, 7, and 9 that would not be a linear function. Why? Because when you take away 7 from 9 you get 2. In order for it to be a linear function you have to get the same exact number when you subtract.
x 0 3 6
f(x) 1 8 64
The second function is exponential because when you divide you get the exact same number. 8/1 = 8 and 64/8 = 8. So this is exponential. But if you had 72 instead of 64 it would not be an exponential function because there has to be a pattern.
I hope this makes sense. Btw I had this question on my test too and this is correct.
Using function concepts, it is found that:
The first function is linear.The second function is exponential.If the absolute value of the change is always the same, it is linear. If the rate is the same, it is exponential.In the first function:
[tex]8.5 - 7 = 7 - 5.5[/tex]
Absolute value always the same, hence linear.
In the second function:
[tex]\frac{64}{8} = \frac{8}{1}[/tex]
Rate always the same, hence exponential.
A similar problem is given at https://brainly.com/question/24282972
What is the length of AC¯¯¯¯¯ ?
Enter your answer in the box.
Answers
so
AB = BC
x + 4 = 3x - 8
3x - x = 4 + 8
2x = 12
x = 6
AC = x = 6
The length of [tex]AC[/tex] is [tex]6[/tex].
Given:
In triangle [tex]ABC, \angle A\cong \angle C,AB=x+4,BC=3x-8,AC=x[/tex].
To find:
The length of [tex]AC[/tex].
Explanation:
In the given triangle, two angles are congruent and we know that the base angles of an isosceles triangle are congruent. It means the triangle [tex]ABC[/tex] is an isosceles triangle with [tex]AB=BC[/tex].
[tex]x+4=3x-8[/tex]
[tex]x-3x=-4-8[/tex]
[tex]-2x=-12[/tex]
Divide both sides by [tex]-2[/tex].
[tex]x=6[/tex]
Now,
[tex]AC=x[/tex]
[tex]AC=6[/tex]
Therefore, the length of [tex]AC[/tex] is [tex]6[/tex].
Learn more:
https://brainly.com/question/24262350
what is 0.167 in a fraction
Answers
hope this helps
For f(x) = 5x +1 , find f(-4)
Answers
This means 5(-4)+1
Which is equal to -19
= -20+1
= -19
option A is correct
Fred had $165 dollars to get a shirt ,he got a 15% discount and and additional sales tax of 7,5%.what's his total?
Answers
Which word in the sentence is an intensive pronoun?
Ned himself finished the jigsaw puzzle that he and his sister had started.
A.
he
B.
himself
C.
his
D.
that
Answers
Answer:
b. Himself
Step-by-step explanation:
3/9X18=? 7X3/4=? PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!1
Answers
3/9 is 0.3333333333 0.333333333× 18 is 6
second one is 5.25
7×3 is 21 21 /4 is 5.25
Hope this helps,
♥Nikki♥
The formula I = PRT where I = Interest, P = principal, R = rate, and T = time is used to calculate the amount of simple interest earned. Solve this formula for T.
T = I + PR
T = I – PR
T = I divided by the quantity P times R
T = IPR
Answers
I=PRT
(Interest= Principle*Rate*Time)
So, simply divide both sides by PR
T=I/PR
Your answer is C: T = I divided by the quantity P times R
(This should have been represented as: T= I/PR)
~Hope this helps m8
Answer:
C
Step-by-step explanation:
At the ice cream shop there are 14 shakes sold for every 6 malts. What is the ratio of malts to shakes?
Answers
1.9r+0.1r=0.6 what s the value of r
Answers
write 19/25 as a decimal fist person to answer the question correctly is going to be the brainliest
Answers
19/25 * 4/4 = (19*4) / (25 * 4) = 76 / 100
So now you can just convert this to a decimal, and say 0.76.
S = 6ab + 4a^3
Make b the subject of the formula
Answers
S = 4 a^3 + 6 a b is equivalent to 4 a^3 + 6 a b = S:4 a^3 + 6 a b = S
Subtract 4 a^3 from both sides:6 a b = S - 4 a^3
Divide both sides by 6 a:Answer: b = S/(6 a) - (2 a^2)/3
vicki drives to and from the gym 2 days a week. The distance from her home to the gym is 13 miles. Over the course of 2 days, her car uses 1/8 of a tank of gas. Complete each sentence. Vicki drives a total of blank mi a week. To find the total number of miles that Vicki can drive with 1 tank of gas, she can blank by 18 .
Answers
Vicki drives a total of 52 miles a week. To find the total number of miles vicki can drive with one tank of gas, she can divide by 18.
Hope This Helps You!
Good Luck :)
- Hannah ❤
A student claims that the equation y=7 is not a linear equation because it does not have the form y=mx+b. Do u agree or disagree? Why?
Answers
Plz mark me brainliest!
Hope this helps!
4 times a number added to -5 is the same as the sum of twice the number and 11. What is the number?
Answers
4x + (-5) = 2x + 11
You finish.