Answers
The required length of FH is obtained as 64.68.
What is the criteria for similarity of two triangles?Two triangles are said to be similar when either the ratio of their corresponding sides are equal or all the corresponding angles are equal.
Two similar triangles are the same in shape but not in size.
The given diagram shows two similar triangles as ΔFGH and ΔKJH.
Since the ratios of the corresponding sides of the two triangles are equal, the following equation can be written for the given case as,
(x + 8)/32 = (4x - 25)/52
=> 52(x + 8) = 32(4x - 25)
=> 52x - 128x = -32 × 25 - 52 × 8
=> -76x = -1716
=> x = 22.42
Thus FH = 4x - 25 = 4 × 22.42 - 25 = 64.68
Hence, the length of FH for the given case is 64.68.
To know more about similar triangles click on,
https://brainly.com/question/25882965
#SPJ5
Related Questions
How is a constant term different from a variable term
for an expression that represents a real-world situation?
Answers
Answer:
Constants are the terms in the algebraic expression that contain only numbers. That is, they're the termswithout variables. We call them constants because their value never changes, since there are no variablesin the term that can change its value.
Step-by-step explanation:
Here are the first four terms of a number sequence.
8
14
20
26
Write down the next term of the number sequence and explain how you found your answer
Answers
8 to 14 is 6
14 to 20 is 6
20 to 26 is 6
The next term will be 26 + 6 = 32
Because there is a gap of 6 between each number
what is the area of this quadrilateral?
Answers
Answer
theres nothing there
Step-by-step explanation:
You prob forgot to provide one
Help me I am suffering from math T-T
Answers
Answer:
7/10
Step-by-step explanation:
3 1/5= 16/5
2 1/2= 5/2
16/5=32/10
5/2=25/10
32/10 - 25/10 = 7/10
Answer:
7/10
Step-by-step explanation:
Step 1 : convert mixed fraction to improper fractions.
Step 2: Find Least common denominators.
Step 3 : Find equivalent fractions and subtract.
[tex]3\frac{1}{5}-2\frac{1}{2}= \frac{(3*5)+1}{5}-\frac{(2*2)+1}{2}\\[/tex]
[tex]= \frac{16}{5}-\frac{5}{2}\\\\=\frac{16*2}{5*2}-\frac{5*5}{2*5}\\\\=\frac{32}{10}-\frac{25}{10}\\\\= \frac{32-25}{10}\\\\= \frac{7}{10}[/tex]
Fill in the missing
number to make the
number sentence
true.
| 148 +___= 179
Answers
Answer: 31
Step-by-step explanation:
179 - 148 = 31
The answer is 31.
Step-by-step explanation:
179 -- 148 = 31.
148 + 31 = 179
find the value=
sin 30° + cos 60° + tan 0
Answers
Answer:
1/2+1/2 + 0
= 1
Step-by-step explanation:
sin30° = 1/2
cos 60° = 1/2
tan 0° = 0
11. Which of the following points is on the
line 3x - 5y=1
A. (1, 2)
B. (2, 1)
C. (3/5, 1)
D. (2,3)
Answers
a
Step-by-step explanation:
because it's is very important
3(2)-5(1)=1
6-5=1
1=1 (true statement)
How much longer is 3/8 foot than 1/8 foot?
Answers
Answer:
2/8 foot longer
Step-by-step explanation:
Tyler was at the amusement park. He walked at a steady pace from the ticket booth to the bumper
cars.
The point on the graph shows his
arrival at the bumper cars. What do
the coordinates of the point tell us
about the situation?
What does the point (0,0) mean in
this situation?
What is the constant of
proportionality for the relationship
between time and distance? What
does it tell you about Tyler's walk?
Where do you see it in the graph?
Answers
9514 1404 393
Answer:
a) It took 40 seconds to go 50 meters from the ticket booth
b) Tyler started at the ticket booth
c) k = 5/4
d) Tyler walked at the rate of 1.25 meters per second
e) The constant of proportionality is the slope of the line from (0, 0) to (40, 50). It is not shown on the graph.
Step-by-step explanation:
a) The axis labels on the graph tell you that 40 represents the number of seconds of elapsed time, and 50 represents the number of meters from the ticket booth. With the information in the problem statement, the coordinates (40, 50) tell us it took Tyler 40 seconds to walk 50 meters from the ticket booth to the bumper cars.
__
b) The point (0, 0) tells us that Tyler started counting time when he left the ticket booth.
__
c) The constant of proportionality is the ratio of the second coordinate to the first. The constant of proportionality is 50/40 = 5/4 = 1.25. (Its units are meters per second.)
__
d) The constant of proportionality tells us that Tyler's steady pace was 1.25 meters per second.
__
e) The constant of proportionality is not shown on the graph. It is the slope of a line between the origin and the point (40, 50).
Katherine D’Ann is planning to finance her college education by selling programs at the football games for State University. There is a fixed cost of $400 for printing these programs, and the variable cost is $3. There is also a $1,000 fee that is paid to the university for the right to sell these programs. If Katherine was able to sell programs for $5 each, how many would she have to sell in order to break even?
Answers
Answer:
700 programs
Step-by-step explanation:
Given that :
Fixed cost = $400
Variable cost = $3 per program
Right to sell fee = $1000
Sales price per program = $5
Let number of programs sold = x
In other to break even, expense = revenue
(Fixed cost + variable cost per program + right to sell fee) = sales price per program
(400 + 3x + 1000) = 5x
1400 + 3x = 5x
1400 = 5x - 3x
1400 = 2x
1400 / 2 = x
x = 700
Number of programs to be sold in other to break even = 700
What’s the answer please??
Answers
Answer:
your answer will be x=1.13504161
9514 1404 393
Answer:
{-1.47, 1.14}
Step-by-step explanation:
The solution to ...
ax^2 +bx +c = 0 is ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Filling in the values a=3, b=1, c=-5, the solutions are ...
[tex]x=\dfrac{-1\pm\sqrt{1^2-4(3)(-5)}}{2(3)}=\dfrac{-1\pm\sqrt{61}}{6}\\\\\boxed{x\approx\{-1.47,1.14\}}[/tex]
A car dealership uses the linear model y = -1100x + 25000 to
predict the depreciation of car values as time progresses. If x is how
old the vehicle is in years and y is the current value of the vehicle,
what will the value of the vehicle be 5 years after purchase?
a) $18,400
b) $19,500
d) $23,900
c) $22,700
Answers
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope:
−
1000
-1000
y-intercept:
(
0
,
25000
)
(0,25000)
x
y
0
25000
25
0
xy025000250
Step-by-step explanation:
a
(づ￣ ³￣)づ
plz plz plz
i am running out the time
Answers
Answer:
mode:7
range:8
Step-by-step explanation:
mode is the most repeated number
range is the greatest -smallest number
i only need 12 13 14
Answers
geometric mean of 384 and 6
Answers
Answer:
48 is the geometric mean of 384 and 6
A particle moves along the x-axis so that at time t≥0t\ge 0t≥0 its position is given by x(t)=−t3+6t2−9t+42.x(t)=-t^3+6t^2-9t+42.x(t)=−t3+6t2−9t+42. Determine the total distance traveled by the particle from 0≤t≤4.0\le t \le 4.0≤t≤4.
Answers
Answer: 4 units
Step-by-step explanation:
The given position function: [tex]x(t)=-t^3+6t^2-9t+42.[/tex], where t≥0.
To determine: Total distance traveled by the particle from 0≤ t ≤ 4.0.
At t=0,
[tex]x(0)=-(0)^3+6(0)^2-9(0)+42=42\\[/tex]
At, t=4,
[tex]x(4)=-(4)^3+6(4)^2-9(4)+42\\\\=-64+6(16)-36+42=38[/tex]
Total distance traveled by the particle from 0≤ t ≤ 4.0 = |42-38| units
= 4 units
Hence, the distance traveled by the particle from 0≤t≤4.0 is 4 units.
ALGEBRA II // MODULE 1
FUNCTIONS AND INVERSES - 1.2
1.2
READY, SET, GO!
Name
Period
Date
READY
Topic: Solving for a variable
Solve for x.
1.
17 = 5x + 2
2. 2x² – 5 = 3x2 – 12x +
31
3. 11 = 2x + 1
Answers
Answer:
1. x = 3
2.x = 6
3. x = 5
I hope this helps you :D
To solve for variables, we start by isolating the variable term and then solve for the variable. The values of x in the given equations are 3, 6 and 5, respectively.
Equation (1)
[tex]17 = 5x + 2[/tex]
Collect like terms
[tex]5x = 17 -2[/tex]
[tex]5x = 15[/tex]
Divide both sides by 5
[tex]x =3[/tex]
Equation (2)
[tex]2x^2 - 5 = 3x^2 - 12x + 31[/tex]
Collect like terms
[tex]3x^2 - 2x^2 - 12x + 31 +5=0[/tex]
[tex]x^2 - 12x + 36=0[/tex]
Expand
[tex]x^2 - 6x - 6x + 36=0[/tex]
Factorize
[tex]x(x - 6) - 6(x -6)=0[/tex]
Factor out x - 6
[tex](x - 6)(x -6)=0[/tex]
This means that:
[tex]x -6=0[/tex]
Solve for x
[tex]x = 6[/tex]
Equation (3):
[tex]11 = 2x + 1[/tex]
Collect like terms
[tex]2x = 11-1[/tex]
[tex]2x = 10[/tex]
Divide both sides by 2
[tex]x =5[/tex]
Hence, the values of x in the given equations are 3, 6 and 5.
Read more about equations at:
https://brainly.com/question/953809
Find the Value of x in each figure.
[REFER TO ATTACHED PICTURE]
Answers
Answer:
First pic) x = 10
Second pic) x = 25
-
Step-by-step explanation:
☆9x - 15 is congruent to 7x + 5, meaning they equal the same. This is because they are vertical to each other
☆The equation would be a 9x - 15 = 7x + 5.
☆Let's solve it!
[tex] \: \: \: \: \: \: \: \: \: 9x - 15 = 7x + 5 \\ \frac{ - 7x \: \: \: \: \: \: \: = - 7x}{2x - 15 = 5} \\ \frac{ \: \: \: \: \: \: \: \: \: \: + 15 = + 15}{ \frac{2x}{2} = \frac{20}{2} } \\ \\ x = 10[/tex]
-------
☆2x + 15 and x are complementary angles, meaning they equal 90ndegrees together. This is because they lie on a right angle.
☆The equation would be: 2x + 15 + x = 90.
☆Let's solve it!
[tex]2x + 15 + x = 90 \\ 3x + 15 = 90 \\ \frac{ \: \: \: \: \: \: \: \: \: - 15 = - 15}{ \frac{3x}{3} = \frac{75}{3} } \\ \\ x = 25[/tex]
On a treasure map, a X is placed at point (9, -7). if the pirates are currently on point (9,3), how many units away are they?
Answers
Answer:
They are 10 units away from the treasure
Step-by-step explanation:
Notice that the points (9, -7) and (9, 3) are both located at the same x-value (9) while their y-values are in one case 3 units above the x-axis, and in the other 7 units BELOW the x-axis. Therefore thy differ by 3 - (-7) units , which totals 10 units.
© Find the equation of the line of symmetry for the equation of the graph below.
y = x2
4x
45
T =
Answers
HOPE IT HELPS!!! :D
Plz help me with the problem
Answers
Answer:Step-by-step explanation:
Just tell me the problem
Find the size of the angle a.
Diagram not drawn accurately
Answers
Answer:
45°
Step-by-step explanation:
Since,
3a + a + 2a + 2a = 360°
23 inches is what fraction of a yard
Answers
Answer:
0.6
Step-by-step explanation:
1 inch = 0.0278
so 23 inches = 0.6 yard
what is 3 over 40 written as a decimal ?
Answers
Answer:
0.075
Step-by-step explanation:
3/40 = 0.075
hope it help u
plz follow me
6 If the altitudes of a triangle meet at one of the triangle’s vertices, then the triangle is
1) a right triangle
2) an acute triangle
3) an obtuse triangle
4) an equilateral triangle
Answers
Answer:
1) a right triangle
Step-by-step explanation:
One of the caractheristics of a right triangle, the one in which the sum of the two sides squared is the hypotenuse squared(Pytagorean Theorem), is also the the altitudes of a triangle meet at one of the triangle’s vertices. So 1) is the answer to this question.
Compute 292,000 divide 100.
Answers
The division 292,000 divide 100. results to 2920.
What is Division?Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers.
Given:
292,000 divide 100.
We know division with zero in the denominator is different and easy.
As, 292000 have three and 100 have two zeroes.
So, the two zero of hundred cancels out the two zeroes of 292000.
So, 292000/ 100
= 2920
Hence, the division results to 2920.
Learn more about Division here:
https://brainly.com/question/21416852
#SPJ2
Match the numbers on the left with their equivalent forms on the right.
1. 2/25 46%
2. 23/50 70%
3. 14/20 0.08
4. 90% 0.9
Answers
Answer:
1. 2/25 = 0.08 = 80%
2. 23/50 = 0.46 = 46%
3. 14/20 = 0.70 = 70%
4. 90% = 90/100 = 0.9
Step-by-step explanation:
To find the right match, we would divide the fraction on the left and select the value that is the same with the answer gotten.
1. 2/25 = 0.08 = 80%
2. 23/50 = 0.46 = 46%
3. 14/20 = 0.70 = 70%
4. 90% = 90/100 = 0.9
What is the square root of nine
Answers
Answer: the square root of 9 is 3.
(GIVING BRAINLYIST) 3 pizzas are shared equally between 10 people. what fraction of a pizza does each person receive. show your work on a image or on paper with using fraction models! thank you for your help :D
Answers
Answer:
1/3
Step-by-step explanation:
Since there are ten people, you have to divide three by ten. It would be 1/3.
What is the solution to Three-fourths a greater-than negative 16?
a greater-than negative 21 and one-third
a less-than negative 21 and one-third
a greater-than 21 and one-third
a less-than 21 and one-third
will give brainliest
Answers
Answer:
a greater-than negative 21 and one-third
Step-by-step explanation:
3/4a>-16
divide both sides by 3/4
a>-16*4/3
a>-64/3
a>-21 1/3
so then
a greater-than negative 21 and one-third
Good luck on the test.