Answers
Given:
Triangle EFG is similar to triangle HIJ.
To find:
The measure of side IJ.
Solution:
We know that, corresponding sides of similar triangles are proportional.
Triangle EFG is similar to triangle HIJ.
[tex]\dfrac{EF}{HI}=\dfrac{FG}{IJ}[/tex]
Putting the given values, we get
[tex]\dfrac{7}{32}=\dfrac{4}{IJ}[/tex]
[tex]7\times IJ=4\times 32[/tex]
[tex]IJ=\dfrac{128}{7}[/tex]
[tex]IJ=18.2857[/tex]
[tex]IJ\approx =18.3[/tex]
Therefore, the measure of side IJ is 18.3 units.
Related Questions
Celia used celery, carrots, and tomatoes in a recipe. Use the clues to find the amount of each ingredient she used. CLUE 1: The amounts were 2/5 cup, 3/4 cup, and 5/8 cup. CLUE 2: There is less celery than tomatoes. CLUE 3: There is less tomatoes than carrots.
Answers
Answer:
Celery = 3/8 cups
Tomatoes = 2/5 cups
Carrot = 5/4 cups
Step-by-step explanation:
CLUE 1: The amounts were 2/5 cup, 3/4 cup, and 5/8 cup
CLUE 2: There is less celery than tomatoes.
CLUE 3: There is less tomatoes than carrots
From clue 2 and 3:
Tomato > Celery ; Carrots > tomatoes
From least to highest :
Celery < Tomatoes < Carrot
Arranging clue 1 in ascending order :
2/5 = 0.4
3/8 = 0.375
5/4 = 1. 25
Hence,
3/8 < 2/5 < 5/4
Celery = 3/8 cups
Tomatoes = 2/5 cups
Carrot = 5/4 cups
A bag contains 5 red marbles, 6 blue marble, 3 green marbles, 4 black marbles, 2 yellow marbles. A marble will be drawn from a bag and replaced 200 times. What is a resonanle predition for each times a yellow or green marble will be drawn
Answers
Answer:
50 times
Step-by-step explanation:
Red = 5 ; blue = 6 ; green = 3 ; black = 4 ; yellow = 2
Total number of marbles :
(5 + 6 + 3 + 4 + 2) = 20
Probability of drawing a yellow or green marble :
P(yellow) + p(green)
(2 / 20) + (3 / 20)
5 / 20
Hence, Number of times from 200 draws :
(5 / 20) * 200
= 50
please help me i need to get this done
Answers
33 ÷ 11 = 3
Total no. of students wearing Sneakers = 5×3 = 15
Answer:
15 students are wearing sneakers.
Step-by-step explanation:
There are 33 students in total, which will compare to 11 (5+6).
33 ÷ 11 = 3
The scale factor is 3.
Sneakers: 3 x 5 = 15 students
find the area of the shape using Pythagoras Theorem please
Answers
Answer:
122.09 (the answer may change depending on how many decimals you need if you need more or less just follow the steps using however many decimals)
Step-by-step explanation:
to get the other triangle side do 18-11= 7
then use the Pythagoras theorem to solve for the other side so 7^2+b^2=11^2
49+b^2= 121
121-49= b^2
72=b^2
b= 8.48(simplified)
then use that side to get the area of the rectangle:
8.42×11=92.62
then get area of the triangle:
1/2(8.42×7)=29.47
add the 2 areas to get total area:
92.62+29.47=122.09
Which is a correct classification for the triangle?
O obtuse triangle
O right triangle
O acute triangle
O equiangular triangle
Answers
Answer:
obtuse triangle is the correct classification for the triangleThe correct classification of the triangle should be considered as the obtuse triangle.
What is the obtuse triangle?In the obtuse triangle here one of the angle should be considered as the obtuse angle.
In the case when the sum of the squares of the two shorter sides of a triangle should be smaller than the square of the longest side so it considered as the obtuse triangle.
Learn more about triangle here: https://brainly.com/question/22176005
The present age of Arun’s father is three times that of Arun. After 5 years,
what will be their ages?
Answers
Answer:
Arun father age will be 3X+5 and his age will be X+5
I really need help with this
Answers
Answer:
3
Step-by-step explanation:
I recall seeing this question. If I'm wrong, let me know.
Nancy was baking a cake for her mom's birthday. She spent
of her time measuring
the ingredients and of her time mixing. If Nancy spend 35 minutes on these two
4.
activities, how many total minutes did she spend baking?
Answers
34 divided by 4 is 8.5 minutes in all 4 activities.
f(-4) = 3x^2-2x pls help i dont know this question
Answers
Step-by-step explanation:
f ( - 4) = 3 ( - 4) ² - 2( - 4)
=. 3 ( 16) + 8
=. 48 + 8 = 56
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you.
a student has a savings account with $475 in in it. She deposits $125 of her paycheck into the account every week. Her goal is to save 7,000 for college. How long will it take her to reach her goal of $7000?
Answers
Answer:
52.2 weeks
Step-by-step explanation:
7000 - 475 = 6,525
6525 ÷ 125 = 52.2
Answer:
It will take her 53 weeks to get her goal of 7,000$
Step-by-step explanation:
I subtracted 475 from 7,000 to see how much she needed to save for. I got 6525. I multiplied 125 times 52 and got 6500. To get to her goal she needs 25 more dollars so, she'll have to work another week to get to that goal.
:)
You have two cans of paint, Can A and Can B. Can A contains 80% red paint and 20% blue. Can B contains half blue and half red. How much blue paint should be added to 3 liters of Can A to make it the same as Can B?
Answers
Answer:
0.9 liters.
Step-by-step explanation:
The difference between 20% of 3 and 50% of 3 is 30%. 30% of 3 liters is 0.9 liters so this is what you add to can A.
When h(1)=-2, and h(n)=h*(n-1)+n, what is h(2)=
Answers
Answer:
h(2)=0
Step-by-step explanation:
That’s what I got when I got it wrong and I asked for the answer and I promise it’s 0
Answer:
its 0
Step-by-step explanation:
Please answer the pictures provided
Answers
Answer:
-6-3
Step-by-step explanation:
Joan measures the mass of a solid metal object. It has a mass of 102.0 g. She also measures the volume of that object and the object has a volume of q 027 mL a)
What is the density of the metal object?
What metal could it be made Of?
Answers
Step-by-step explanation:
P=m/v
P=102,0 ÷027
P=3,77 that is the density
It is made of copper
please help for brainlist ASAP and explain or no brainlist
Answers
Answer:
A
Step-by-step explanation:
because as you see the odd number is 1 its A
Answer:it’s 1/3 because it would be 1/2 to get two even number or odd so it’s 1/3
Step-by-step explanation:there’s 3 even numbers on one dice and it’s 1/2 a chance to get even and same for odds so with two dices it’s 1/3 because it’s 1/3 to get both evens and 1/3 to get both odds so it’s 1/3
Tell weather each pair is parallel, perpendicular, or neither: 8x – 2y = 3
x + 4y = -1
Answers
A large rectangular box has a volume of 15.75 cubic feet. The box is 2.5 feet long and 1.5 feet wide. What is the height of the box?
Answers
Answer:
2.5 x 1.5= 3.75
15.75/3.75=4.2
Answer- 4.2
Step-by-step explanation:
Consider the quadratic function: f (x) = 5x2 + 20x + 20. What are the zeros of the function using completing the square?
Answers
Step-by-step explanation:
step 1. f(x) = 5x^2 + 20x + 20
step 2. f(x) = 5(x^2 + 4x + 4)
step 3. f(x) = 5(x + 2)^2
step 4. 0 = 5(x + 2)^2
step 5. zeros: -2
Please help me to solve this!
Answers
Answer:
7 days im not sure
Step-by-step explanation:
can you trying giving us the answer that comes with the question if they have them
Which of the values in the set {2, 3, 4, 5} is a solution to the equation 2x + 4 = 10? (4 points) a 2 b 3 c 4 d 5
Answers
Answer:
B: 3
Step-by-step explanation:
2x
x=3 3times2= 6
6+4 =10
Hope this helps
The total cost of flooring a room at Rs .9.50 per square meter is Rs 760, If the length of the room is 10 m, find its breadth.
Answers
Answer:
8 metre
Step-by-step explanation:
cost of flooring per square metre = Rs .9.50
total cost of flooring= Rs760
Area of room= 760/9.50
= 80 m^2
Area of the given room= Lenght × Breadth
length of the room is = 10 m
80= 10 × Breadth
Breadth= 80/10= 8 m
Hence, breadth of the room is 8metre
Which transformation would take Figure A to Figure B
Answers
Answer:
6 squares to right and 6 squares down
Step-by-step explanation:
Go with the coordinate (-1, 5) on shape A
Hope it helps :)
Move 6 squares to right and 6 squares down.
The initial coordinate that is the x value is -5 and the transformation figure has x value 5.
So move figure A 6 squares to the right . And then move 6 squares to the down we get the transformation figure B.
Therefore, by moving 6 squares to right and 6 squares to down we get the transformation figure B.
Learn more:https://brainly.com/question/7161333
April wrote two equations to represent this system of equations. She wrote: y = 5x +
I and y = 14x - 10. Do you agree or disagree with April?
Answers
Answer:
Disagree
Step-by-step explanation:
The lines are parallel, which means they have different y-intercepts but the same slope.
April's two equations have different slopes (5 and 14), so they do not properly represent two parallel lines.
What is the value of the expression 52 + 22?
Answers
Answer:
55 + 22 = n
= 77
n = 77
Hope this helps! :D
Step-by-step explanation:
Diego hosted a spaghetti dinner for the soccer team. He made 6 boxes of spaghetti to feed the 20 people that came. Next time, 50 people are coming! How many boxes of spaghetti should Diego buy to feed all those people? Explain or show your reasoning.
Answers
Answer: 15
what’s the answer, help please !
Answers
= 26x - 26
2^2/5+ 3^1/10
HELP ASAP
Answers
Answer:
[tex]\sqrt[5]{4}[/tex] + [tex]\sqrt[10]{3}[/tex]
Step-by-step explanation:
We sure can write 2^2/5+ 3^1/10 as [tex]2^{\frac{2}{5} } + 3^{\frac{1}{10} }[/tex]
// use the [tex]a^{\frac{m}{n} } =\sqrt[n]{a^{m} }[/tex] to transform the expression
Convert [tex]2^{\frac{2}{5} }[/tex] to [tex]\sqrt[5]{2^{2} }[/tex] = [tex]\sqrt[5]{4}[/tex] (here a = 2, n = 5, m = 2)
Then convert [tex]3^{\frac{1}{10} }[/tex] to [tex]\sqrt[10]{3^{1} }[/tex] = [tex]\sqrt[10]{3}[/tex] (here a = 3, n = 10, m = 1)
Now we get [tex]2^{\frac{2}{5} } + 3^{\frac{1}{10} }[/tex] = [tex]\sqrt[5]{4}[/tex] + [tex]\sqrt[10]{3}[/tex] . This is the simplified form, which is the answer.
What is the percentage of sugar in the syrup made of 10kg of water and 5kg of sugar? Thx!
Answers
Answer:
total=15 kg
so 5/15*100
=33.3
Step-by-step explanation:
Bella has a cell phone plan in which she pays for each call minute and text message she sends. The total number of minutes used and text messages sent last month was 561. If call minutes cost 8 cents each and text messages cost 5 cents each and her bill was $34.26. how many minutes did she use?
Answers
Answer:
⇒Let the no. of call minute be = x
⇒& no. of text messages be = y
⇒As total number of minutes used and text messages sent last month was 561
So x + y = 561.................................(1)
⇒Now as call minutes cost 8 cents each and text messages cost 5 cents each and her bill was $34.26
So 8x + 5y = 3426............................(2)
On solving equation 1 & 2 we have
we got x = 354 cent
& y = 207 cent
Answer:
Step-by-step explanation:
x (354,307)
Which of these ordered pairs is a solution to the inequality y - 2x < -3? ( (2,4) (-2, 3) (3, 4) (1,-1)
Answers
Answer:
(3, 4)
Step-by-step explanation: