Answers
Answer:
x=7.5
Step-by-step explanation:
To show that the triangles are similar, we simply need to show that all sides are proportionate.
So, we create a proportion
[tex]\frac{FE}{ZY} =\frac{ED}{XY} = \frac{FD}{XZ}[/tex]
Then we plug in the values
[tex]\frac{6}{12} = \frac{7}{14} = \frac{2x-5}{22}[/tex]
[tex]\frac{6}{12}[/tex] and [tex]\frac{7}{14}[/tex] can be simplified to [tex]\frac{1}{2}[/tex], so that is our ratio of similarity
then we know
[tex]\frac{1}{2} = \frac{2x-5}{22}[/tex]
Now solve
1. Cross multiply
2×(2x-5) = 22
2. Distribute
4x-8 = 22
4x=30
x=7.5
There is your answer, x=7.5
Hope this helped.
Related Questions
For the following product, determine whether the result is rational or irrational and choose the appropriate reason.
5/19 x 4/9
A:The result is rational because the product of a nonzero rational number and an irrational number is sometimes rational.
B:The result is irrational because the product of a nonzero rational number and an irrational number is always irrational.
C:The result is rational because the product of two rational numbers is always rational.
D:The result is irrational because the product of two irrational numbers is sometimes irrational.
Answers
Answer:
B
Step-by-step explanation:
The result is irrational
Question 5 of 8
The graphs below have the same shape. Complete the equation of the blue
graph. Enter exponents using the caret (-); for example, enter to as x^3. Do
not include "G(x) =" in your answer.
Answers
Answer: g(x) = (x - 1)^3
Step-by-step explanation:
There is a transformation called "horizontal translation"
For an initial function f(x), a horizontal translation of N is written as:
g(x) = f(x - N)
where if N is positive, we have a translation of N units to the right.
If N is negative, we have a translation of N units to the left.
Here, we can see that:
f(x) = x^3, such that when x = 0, f(0) = 0.
And g(x) seems to be a horizontal translation of f(x) (because the graph of g(x) is equidistant to the graph of f(x)), then:
g(x) = (x - N)^3
And we can see that when x = 0, g(0) = 1
Then:
g(0) = (0 - N)^3 = 1
N^3 = 1
N = ∛1 = 1
Then the equation for g(x) is:
g(x) = (x - 1)^3
In ΔTUV, the measure of ∠V=90°, the measure of ∠T=55°, and VT = 56 feet. Find the length of TU to the nearest tenth of a foot.
Answers
Answer:
97.6
Step-by-step explanation:
Answer:
97.6
Step-by-step explanation:
How does hardware differ from software?
Hardware can be an external tool, whereas software is an internal tool.
Hardware performs tasks, whereas software provides instructions.
Hardware runs the computer, whereas software performs tasks.
Hardware is the brain of a computer, whereas software is the heart.
those fools playing you its actually: B. Hardware performs task, whereas software provides instructions.
Answers
Answer:
B
Step-by-step explanation:
answer in question lol
Answer:
it could be A or B but B seems more correct.
Paulo wrote the expression 3 x (d + 5) in his notebook.Then he wrote the equivalent expression 3d + 15. Which property did he use
Answers
Answer:
He used mutiplying, which is represented as ×
Ramon knows there are 60 seconds in 1 minute. He writes the equation 60s=m to find the number of minutes, m, in any number of seconds, s.
Use the drop-down menus to complete the statements about Ramon's equation.
Answers
Answer:
60 seconds is 1 minute, let's say for example you wanna find how many seconds is 3 minutes. So you gotta take 60(3) = 180m. :)
Step-by-step explanation:
Help pls also show work if needed!
Answers
Answer:
yes, no, yes, no
Step-by-step explanation:
For it to be a line, that means that when x goes up by 1 y goes up by the same thing every time.
7a. from (1, 12) to (2, 8), the x coordinate goes up by 1 and the y coordinate goes down by 4. From (2, 8) to (3, 4) the y coordinate again goes down by 4 when the x coordinate goes up by 1. This pattern continues for the other points, so yes.
Do the same thing for the rest and you should get:
7b. No
7c. Yes
7d. No
Answer:
a=no
b=no
c=yes
d=no
41.
The Ferris wheel has a radius of 50 feet.
If a car at point E(50, 0) moves to point F,
what are the approximate coordinates of
the car's location after the rotation?
Answers
The Ferris wheel has a radius of 50 feet.
If a car at point E(50, 0) moves to point F,
wha
Find the equation of the linear function represented by the table below
in slope-intercept form.
Answers
Answer:
y=-4x+1
Step-by-step explanation:
Please help if you understand!! I hope everyone has a great day or is having a great day
Answers
Answer:
Firstly, notice the relationship the two triangles have. They have conjoining ends that form vertical angles (looks like a middle x). Vertical angles are equivalent in measure of degrees.
Secondly, notice that the triangle on the right side is a right triangle. One of its angle's measurements are also given; 40 degrees. If you know that the sum of a triangle's angles equal 180 degrees, then simply subtract the known angles measurements from 180.
180-(90+40)= 180-130=50.
Therefore, the vertical angles measurement is equivalent to 50 degrees.
Apply the principle of the sum of all angles in a triangle equivalent to 180 degrees to the left triangle, and you will be able to find the measurement of the "?" angle.
180-(50+25)= 180-75=105
SO HERE IS YOUR ANSWER= 105 degrees is the value of the angle marked with a "?"
I hope you are having a great day too;)!
Answer:
The value of the angle will be 105 degrees
Step-by-step explanation:
First, one thing to know is that the angles in a triangle all add up to be 180.
From the triangle on the right, two of the angles are given to us.
We have the 40 degree angle and the 90 degree angle (we know it is 90 because of the red box in the triangle indicates that)
Next, you add up 90 and 40 which gives us 130. (90 + 40 = 130)
Because the sum of all the angles in a triangle is 180, you will subtract 180 from 130. (180 - 130 = 50)
The remaining angle from the triangle from the right is 50.
Now, a rule of angles is that vertically opposite angles are equal to each other.
Because we have found the 50 degree angle, the angle vertically opposite from that will also equal 50.
Now we have two known angles in the triangle from the left.
Because we know one degree is 50 and the other is 25, all we have to do is add those two angles and subtract from 180.
50 + 25 = 75
180 - 75 = 105
And there is our answer for the angle that is marked with a "?" --> 105 degrees
Hope this explnation made sense and good luck!
Students are selling grapefruits and nuts for a fundraiser. The grapefruits cost $1 each and a bag of nuts cost $5 each. They sold 80 items and made $200. The graph of the number of items sold is given and the equation is x+y=80, where x represents the number of bags of nuts sold. write an equation for the amount of money they made from selling grapefruits and nuts
Answers
Answer:
Step-by-step explanation:
I don't get this problem
Answers
F = 30, G = 75, and H = 75
Solve the math problems as quick as you can in 20 seconds
3x14
9x8
5x13
6x17
5x3
12x12
11x10
6x7
6x9
4x8
3x23
Answers
Answer:
42
72
65
102
15
144
110
42
54
32
69
Step-by-step explanation:
Hope this helps.
3 x 14 = 42
9 x 8 = 72
5 x 13 = 65
6 x 17 = 102
5 x 3 = 15
12 x 12 = 144
11 x 10 = 110
6 x 7 = 42
6 x 9 = 54
4 x 8 = 32
3 x 23 = 69
Need help fastttt
Aviva has a total of 70 coins, all of which are either dimes or nickels. The total value of the coins is $5.95. Find the number of each type of coin.
A.23 nickels: 47 dimes
B.26 nickels: 44 dimes
C.21 nickels: 49 dimes
D.49 nickels: 21 dimes
Answers
Answe
b i hoped this help :)
Step-by-step explanation:
Answer:
The answer is c:)
Step-by-step explanation:
20 nickels = 1 dollar
40 dimes=4 dollar
4+1=$5
9 dimes + 1 nickel = 95
$5.95
solve for x.
i need help
Answers
Answer:
2x=180-(3x+20)
2x=180-3x-20
5x=160
x=32
Step-by-step explanation:
Jennifer spent $75 on each visit to the grocery store. Write an equation to represent the amount she
spent, y, on x visits to the grocery store.
A y = 75x
B x = 75y
C 75 + x = y
D y = 75 - X
Please help
Answers
Calculate the value of the following expression. Express your answer either as an improper fraction or a decimal.
(-8) x (2/3)
Answers
Which has the most elastic demand?
A)Post Raisin Brand
B) cereal
C) Post Raisin Brand from a Giant grocery store
D) food
E) Breakfast food
Answers
Answer:
C
Step-by-step explanation:
because Post rasinin brand from a giant grocery store
Answer:
C
Step-by-step explanation:
I hope this help
Solve the equation for x. Square root of x = 20
Answers
Answer:
x = 16
Step-by-step explanation:
Subtract x from both sides of the equation
[tex]\sqrt{x} = 20 - x[/tex]
To remove the radical on the left side of the equation, square both sides of the equation.
[tex]\sqrt{x}^{2} = (20 - x)^{2}[/tex]
Simplify each side of the equation.
[tex]x = (20 - x)^{2}[/tex]
Solve for x.
[tex]x = 25, 16[/tex]
Exclude the solutions that do not make [tex]x + \sqrt{x} = 20[/tex] true.
x = 16
Solve the question below please
Answers
Answer:
b
Step-by-step explanation:
could someone help me match these tank you <3 ill give you brainliest
Answers
Answer:
1. Negative
2. Positive
3. Undefined
4. Zero
Answer:
1: negative
2: positive
3 undefined
4: 0
Step-by-step explanation:
1: as x approaches positive infinity, y approaches negative infinity.
2: As X approaches positive infinity, Y approaches Positive infinity
3: can not calculate a slope because X is not approaching positive or negative infinity.
4: Y is not approaching positive or negative infinity, but X is, so the slope is 0.
Part A
Steve buys 2 lb of grapefruit and 3 lb of oranges for $7.20. Kennedy buys 4 lb of grapefruit and 2 lb of oranges for $8.80. Let x represent the price
per pound for grapefruit, and let y represent the price per pound for oranges. Choose the system of equations that models the situation.
A. 2x + 3y = 7.20
2x + 4y = 8.80
B. 3x +2y = 7.20
4x + 2y = 8.80
C. 2x + 3y = 7.20
4x + 2y = 8.80
D. 2x + 3y = 8.80
4x + 2y = 7.20
Part B
Steve buys 2 lb of grapefruit and 3 lb of oranges for $7.20. Kennedy buys 4 lb of grapefruit and 2 lb of oranges for $8.80. Let x represent the price
per pound for grapefruit, and let y represent the price per pound for oranges. Use the system of equations from Part A to find the price per pound
for oranges
price: $
per pound
Answers
2x +3y=7.20
4x+2y=8.80
Given a y-intercept of (0,4) and a slope of —2, write the equation of the line.
Answers
Answer:
[tex]y = -2x + 4[/tex]
Step-by-step explanation:
Slope intercept form is a way of expressing the equation of a line such that both the slope and the y-intercept are given. The general equation of a line in slope-intercept form is; ( [tex]y = mx + b[/tex] ). Where coefficient ( [tex]m[/tex] ) is the slope of the line, and constant ( [tex]b[/tex] ) is the y-intercept. In this problem, one is given both the slope and the y-intercept, one simply has to substitute in the values.
[tex]y = -2x + 4[/tex]
Answer: here is the answer
Harry is a manager at a shoe factory. He is in charge of the manufacturing department. The president of the company asks Harry the following question. "How many athletic shoes are produced each month?" Why is the above question a statistical question? A. It anticipates variability in the data. B. All of the answers will be consistent. C. There is one answer to the question. D. The data collected will be cumulative.
Answers
Answer:
B. It anticipates variability in the data
Step-by-step explanation:
Statistics is the study of data gathering, organization, analysis, interpretation, and presentation. The correct option is A.
What are statistics?Statistics is the study of data gathering, organization, analysis, interpretation, and presentation. It is customary, to begin with, for a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.
The given question that is asked by the President of the company is a statistical question because of the reason that the data anticipates variability. Hence, The correct option is A.
Learn more about Statistics:
https://brainly.com/question/8058700
#SPJ2
Easy Math Question, Many Points!
This week, avery plans to take to school one fruit every day, a banana or pear. In how many ways can Avery do it?
Answers
Answer:
5
Step-by-step explanation:
Using the Fundamental Counting Theorem, it is found that Avery can do it in 32 ways.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem, for each of the 5 days, he has 2 options, hence:
[tex]n_1 = n_2 = n_3 = n_4 = n_5 = 2[/tex]
Then:
[tex]N = n_1 \times n_2 \cdots \times n_5 = 2^5 = 32[/tex]
Avery can do it in 32 ways.
To learn more about the Fundamental Counting Theorem, you can take a look at https://brainly.com/question/24314866
work out the area of a circle with diameter 1.8cm. Take [tex]\pi[/tex] to be 3.142 and give your answer in 1 decimal place.
Answers
Area of a circle is pi x r ^2
R = diameter/2
R = 1.8/2 = 0.9
Area = 3.142 x 0.9^2
Area = 2.5 square cm.
given the equation what would it look lile on a table.
Answers
Answer:
I apologise for how scruffy it looks, i didnt have a book or pen with me so this is the best i can do.
WHAT IS THE VOLUME OF WAX IN THE CANDLE SHAPED LIKE A CYLINDER
A.50.24 cubic inches B,28.3 cubic inches C.25.1 cubic inches
What is the volume of wax in the candle shaped like a cone?
A. 50.24 CUBIC FEET b.28.3 cubic feet C.25.1
Answers
Problem 8
Answer: 28.3 cubic inches------------------------
Work Shown:
V = pi*r^2*h
V = 3.14*(1.5)^2*4
V = 28.26
V = 28.3
Note how the radius r = 1.5 is half of the diameter 3 inches.
=========================================
Problem 9
Answer: 25.1 cubic inches------------------------
Work Shown:
V = (1/3)*pi*r^2*h
V = (1/3)*3.14*2^2*6
V = 25.12
V = 25.1
Answer:
for problem 8 it would be 28.3
You buy 2.25 pounds of oranges and 2.15 pounds of apples. Oranges and apples sell for the same price per pound. The total cost, after using a 75¢-off coupon, is $3.21. If c represents the cost of the fruit in dollars per pound, what equation could you use to find the value of c?
Answers
Answer:
Step-by-step explanation:
If the price per pound is increased by $1, $12 will buy 0.4 pounds less of ... C. D. E. Difficulty: 45% (medium). Question Stats: based on 162 sessions ... What is the current price per pound of apples at the grocery store? ... Using answer choices ... per question stem we have Current pound when cost is A - pound when cost is ...
Simplify.
(-216)^ -4/3 plz help asap
Answers
Answer:
=
1 /6530347008
Step-by-step explanation:
brainliest please?
The y simplified answer would be 1/cuberoot(-216^4)
-216^-4 = 1/2,176,782,336
The cuberoot of that number is 0.000772