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
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
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.
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
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
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 = 10-3|-6+7|=
Can someone help me with that pls?
Answers
Answer:
the answer is -3
Step-by-step explanation:
What is the area of this shape?
PLEASE HELP!
Answers
Answer: 5
Step-by-step explanation:
1+1+1+1+1
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]
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
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.
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
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
If you were able to pay off and get rid of all of your debt, what is that called?
Answers
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
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 :)
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
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
HELP PLEASE!!!!!
what is the length of (-2, 5) and (-7, -7)
Answers
can you help me with this, please?
Answers
to (7x – 5) – (3x – 2)?
Answers
Answer:
x=0.75
Step-by-step explanation:
nnnnnnnnneeeeeeeeddddddddd help
Answers
Answer:
It is C
Step-by-step explanation:
C is the correct answer but don't quote me on it
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
What are outliers in a box plot
Answers
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
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
5.
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:
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.
15b>75.Substitute 5 for b
True or False
Answers
Answer:
False
Step-by-step explanation:
15*5 =75
So, 75=75
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!
Find the 15th term of the arithmetic sequence x+3, -x-1, -3x-5, ...