In the diagram of triangle FJH below, KG || JH, FK=3, KJ=15, and FG=4. What is the length of FH?
Answers
Given:
In triangle [tex]FJH,KG\parallel JH, FK=3, KJ=15,\text{ and }FG=4.[/tex]
To find:
The length of [tex]FH[/tex].
Solution:
Basic proportionality theorem(BPT): If a line intersect the two sides of a triangle and parallel to third side of the triangle, then it divides the sides proportionally.
In triangle [tex]FJH,KG\parallel JH[/tex].
Using BPT, we get
[tex]\dfrac{FK}{KJ}=\dfrac{FG}{GH}[/tex]
[tex]\dfrac{3}{15}=\dfrac{4}{GH}[/tex]
On cross multiplication, we get
[tex]3\times GH=4\times 15[/tex]
[tex]GH=\dfrac{60}{3}[/tex]
[tex]GH=20[/tex]
Now,
[tex]FH=FG+GH[/tex]
[tex]FH=4+20[/tex]
[tex]FH=24[/tex]
Therefore, the length of FH is 24 units.
Related Questions
May someone help me with this one please
Answers
Yes i may
Solution
x=9/2
x=-15/2
Step-by-step explanation:
Answer:
solution X=9/2
x=-15/2
HELP PLEASE!!!!!
what is the length of (-2, 5) and (-7, -7)
Answers
can you help me with this, please?
Answers
Please Help Me I Need To Pass This
Answers
Answer:
Hello! I believe the answer is B!
My second answer would be D!
I can't really pick from the 2!
I hope you pass!
Have a great day!
Byes!
Step-by-step explanation:
Your welcome! Thanks so much!
Have a great weekend!
Sincerely,
Brainliest :)
A full set of adult teeth has 160% as many teeth as a full set of baby teeth. How many teeth are there in a full set of adult teeth if there are 20 teeth in a full set of baby teeth
Answers
Answer:
The adult has 32 teeth
Step-by-step explanation:
20*.1.60=32
Answer:
32
Step-by-step explanation:
100% - 20 60% (20x0.60) 12 20+12 32
surface area of cylinder
Answers
Answer:
75.40 cm²
Step-by-step explanation:
SA = 2πrh + 2πr²
SA = 2π(2)(4) + 2π(2)²
SA = 50.27 + 25.13
SA = 75.40 cm²
HALP ME PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Answers
Answer:
x = [tex]-\frac{1}{3}[/tex], y = 2
Step-by-step explanation:
3x + 3y - 7 = 12x + y
6y - 12x - 1 = -45x
(3x - 12x) + (3y - y) = 7
(-12x + 45x) + 6y = 1
-3(-9x + 2y = 7)
33x + 6y = 1
27x - 6y = -21
33x + 6y = 1
60x = -20 -> x = -20/60 = -1/3
-9x + 2y = 7 -> y = [tex]\frac{7+9x}{2}[/tex] = [tex]\frac{7+9*-\frac{1}{3}}{2}[/tex] = 2
Definitely could use some help. Would also be really appreciated if someone gave a breakdown of how they solved it. Thank you!!!
Answers
Answer:
x = 10Step-by-step explanation:
Parallel lines cut the transversals into proportional sections.
Find the ratios of the corresponding parts and solve for x:
(3x - 5)/(28 - 8) = 10/8(3x - 5)/20 = 5/43x - 5 = 20*5/43x - 5 = 253x = 30x = 105.
The height of a cylinder is 6 Inches. The radius of the base is 8 inches.
Which expression can be used to approximate the volume of the cylinder?
A
2 x 8 x 3.14 6
B
4x3.146
с 82 3.146
D 42 x 3.146
Answers
the volume of cylinder is 3.14 r^2×h
Answer: c
Step-by-step explanation:
Please help :)
A sample of 60 Grade 9 students' ages was obtained to estimate the mean age of all Grade 9 students. X = 15.3 years and the population variance is 16.
a. What is the point estimate for μ?
b. Find the 95% confidence interval for μ.
C. Find the 99% confidence interval for μ.
d. What conclusions can you make based on each estimate?
(No links or you get reported)
Answers
A recipe for 12 cupcakes uses 2/3 cups of sugar. The number of cupcakes is directly proportional to the amount of sugar. How many cupcakes can you make with 3 cups of sugar?
help please!! i need an answer before may 7th
Answers
Answer:
54 cupcakes
Step-by-step explanation:
You would see how much sugar goes into each cupcake which is 1/18 cups of sugar in each cupcake, next you would see how many cupcakes you can make by turning the total 3 cups of sugar into an improper fraction of 54/18, then you would see how many times 1/18 can go into 54/18 which is 54 times meaning that with 3 cups of sugar you can make a total of 54 cupcakes.
The number of parking spots, y, in the local town x years from now can be modeled by the equation below. How
many spots are there right now?
y = 1000x + 6000
Answers
What are outliers in a box plot
Answers
What is the area of this shape?
PLEASE HELP!
Answers
Answer: 5
Step-by-step explanation:
1+1+1+1+1
Find the 15th term of the arithmetic sequence x+3, -x-1, -3x-5, ...
Answers
Help with this question! It’s for math
Answers
Answer:
174 [tex]mi^2[/tex]
Step-by-step explanation:
area of the top rectangle: 7 x 8 = 56 [tex]mi^2[/tex]
area of the bottom rectangle: 4 x 13 = 52 [tex]mi^2[/tex]
area of the triangle: [tex]\frac{1}{2} (11)(12)[/tex] = 66 [tex]mi^2[/tex]
add it all up: 56 + 52 + 66 = 174 [tex]mi^2[/tex]
Describe the expression. 2 * 5+7(3 + 13) Which of the following describes 7 in the expression above? 디 A. factor B. sum C. quotient D. product
Answers
Answer:
A Factor
Step-by-step explanation:
In the expression given, '7' would be getting multiplied by (3+13). Therefore, 7 is a factor.
Hope this helps.
nnnnnnnnneeeeeeeeddddddddd help
Answers
Answer:
It is C
Step-by-step explanation:
C is the correct answer but don't quote me on it
what is the value of x in the equation -3x+19=2x+106
Answers
Answer:
x = -87/5 or in decimal form -17.4
Step-by-step explanation:
HOPE IT HELPS!
to (7x – 5) – (3x – 2)?
Answers
Answer:
x=0.75
Step-by-step explanation:
Identify the angle relationship. Which equation can be used to solve for x?
(4x + 1)
170
Answers
Answer:
680x + 170
Step-by-step explanation:
calculate the product
4[tex]x[/tex] x170 +170=
680x+ 170
Last week, the total weight of the members of a weight loss support group was 1,320
pounds. This week, it was 1,254 pounds. What percent lighter is the group now?
%
Submit
I need help
Answers
Answer:
-5%
Step-by-step explanation:
I think
Answer for a brainliest.
Answers
Answer:
9.8596
Step-by-step explanation:
no explanation just that An apple, potato, and onion all taste the same if you eat them with your nose plugged and Bananas are curved because they grow towards the sun ☀
Answer:
GF = 7
Step-by-step explanation:
lol, hope this helps
15b>75.Substitute 5 for b
True or False
Answers
Answer:
False
Step-by-step explanation:
15*5 =75
So, 75=75
Simplity 6.5/2 squared
Answers
1.625
:)
can i have brainliest???? :')
Answer:
42.25/4
Step-by-step explanation:
6.5 x 6.5 equals 42.25 and 2 x 2 equals 4 and can't be simplified into whole numbers unless you want decimal. which is 10.5625
Henry is making a corn grits recipe that calls for cup of corn grits for every cup of water.
1 cups of corn grits? Enter the number in the box
How much water will he need if he uses
cups of water
y/x NOwWwwW pls
Answers
Answer:
3 cups of water
Step-by-step explanation:
Henry is making a corn grits recipe that calls for 1/4 cup of corn grits for every 1/2 cup of water. How much water will he need if he uses 1 1/2 cups of corn grits?
Expand 1/2 to 2/4, if there is 1 1/2 cups of corn grits, that means that 1/4 cups of corn grits was used 6 times, 1/2x6=3. He will need 3 cups of water
Which of the following expressions is represented by the number line below?
A. -6 - 5
B. 6 + (-4)
C. -6 + 4
D. 6 - (-4)
Answers
If you were able to pay off and get rid of all of your debt, what is that called?
Answers
A school sport's team sold hats for $12 each hat. The team made a profit of $3 for each hat sold. What percent of the selling price of each hat is the profit?
Answers
Answer: 25%
Step-by-step explanation:
Given: Selling price of each hat = $12
Profit on each hat = $3
To find: The percent of the selling price of each hat is the profit.
Ratio of profit to selling price = [tex]\dfrac3{12}=\dfrac14[/tex]
The required percentage = Ratio of profit to selling price x 100
[tex]=\dfrac14\times100=25\%[/tex]
The profit is 25% of the selling price.
-3|-6+7|=
Can someone help me with that pls?
Answers
Answer:
the answer is -3
Step-by-step explanation: