50 POINTS: Please help thank you so much!! (Image attached) The polygons are similar. Find the values of the variables.
I know from the answer key that the answers are x=
3 \sqrt{10}310
and y=
2 \sqrt{10}210
but I'm not sure how to get there...
Answers
Answer:
x = 3/5√10
y = 2√10
Step-by-step explanation:
using the Pythagorean theorem:
y² = 7² - 3² = 49 - 9
y² = 40
y = 2√10
3/4.5 = y/5x
4.5y = 15x
substitute for y:
4.5(2√10) = 15x
15x = 9√10
divide both sides of the equation by 15:
x = (9√10)/15 = 3/5√10
Related Questions
Hardware Sells Nails By The Kilogram.One Inch Of Nails Weighs Approximately 18 mg.How Long,In mm,Is A 1-inch Nail,Correct to 1Decimal Place.?
Answers
The length of the 1 inch nail weighing 18 mg is 25.4 mm
What is an equation?An equation is an expression showing the relationship between numbers and variables.
Weight is the quantity of matter stored in an object. The SI unit of weight is the kilograms.
1 inch = 0.0254 meter
1 m = 1000 mm
Given the nail is 1 inch, hence:
1 inch = 0.0254 m
0.0254 m = 0.0254 m * 1000 mm/m = 25.4 mm
The length of the nail is 25.4 mm
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Mrs. Kephat's sixth grade class has been collecting aluminum cans. They receive a dollar a can. What percent of the goal still needs to be achieved?
Answers
Answer: A. 40%
amount achieved: 600/1000 = 3/5
amount not achieved = 2/5
2/5 as percent is 40%
f(x)= x^2 - 7x +12
The above equation is in standard form. Write the above equation in factored form
f(x) = (x-r1)(x-r2)
r1 represents first root, r2 represetnts second root
What are the roots?
Remember, x-r1 = 0 and x-r2=0
Answers
Answer:
f(x) = (x - 3)(x - 4)
Step-by-step explanation:
f(x)= x^2 - 7x +12 factors immediately into f(x) = (x - 3)(x - 4).
The roots are {3, 4}
Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a salary increase of $2,500 per year, and Victoria will receive a salary increase of $1,500 per year. Which equation can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria? F 45,000 x + 2,500 x = 54,000 x + 1,500 x G 45,000 x + 2,500 = 54,000 x + 1,500 H 45,000 + 2,500 x = 54,000 + 1,500 x J 45,000 x + 2,500 x = 54,000 x + 1,500
Answers
Answer:
H) 45,000 + 2,500 x = 54,000 + 1,500x
Step-by-step explanation:
Let the number of years be represented as x
For Jerry
Jerry has a new job and earns a salary of $45,000.Jerry will receive a salary increase of $2,500 per year,
The equation is
45,000 + 2,500x
Victoria has a new job and earns a salary of $54,000. and Victoria will receive a salary increase of $1,500 per year.
The equation is :
54,000 + 1,500x
The equation that can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria is given as
Equation for Jerry = Equation for Victoria
45,000 + 2,500x = 54,000 + 1,500x
Option H is the correct option
Write the expression using a positive exponent. Leave in fraction form and do not expand numbers, leave in exponential form.
For example, 2^-7 write as 1/2^7, do NOT write as 1/128 or 0.0078125. NO SPACES!
4w^-1
Answers
Answer:
Step-by-step explanation:
4w⁻¹ = 4/w¹ = 4/w
Marcus has 16 4/7 ounces of pretzels that he wants to split equally among 4 people. How many ounces of pretzels will each person get?
Answers
Answer:
4 1/7
Step-by-step explanation:
16 4/7 ÷ 4 = 4 1/7
Hope this helps!
Tysm only this one left
Answers
Answer:
x = 6
Step-by-step explanation:
3x + 4 = 22
subtract 4
3x = 18
divide by 3
x = 6
Answer:
x=6
Step-by-step explanation:
Subtract 4 from each side of the equation to get 3x=18. divide 18 by 3 to get 6, and divide 3x by 3 to get x. x=6
The weather forecaster says that tomorrow there is a 6% chance that it will rain. Which word or phrase describes the probability that it will rain?
O unlikely
O likely
O impossible
O an equal chance or 50-50
Answers
This would be unlikely because you only have a 6/100 chance of this happening. It’s rare but could happen. It isn’t likely that it will but it isn’t impossible. If it were 50-50, the percentage of chance would be 50%. So you are left with one option... unlikely.
i need help :( this problem is very confusing
Answers
Answer:
Emily , don't put your whole name in the questions :DDDD, it's at the top of the page, anyway, Eloper .. :DDD
Step-by-step explanation:
It's arithmetic b/c you're just adding 1
arithmetic
1
1
are the answers , the last one is b/c that's the common difference.
HELP PLEASE ASAP i need the help right answers only!
Answers
Answer:
8
Step-by-step explanation:
good luck. hope this helps.
Please help it’s a group assignment and due today (no links!)
Answers
Answer: problem 1 A
Step-by-step explanation:
Find the missing length indicated. Leave your answer in simplest radical form
Answers
Answer:
25; 15^2+20^2=625. 25^2=625, therefore the answer is 25.
If x=7 and y=−3, evaluate the following expression:3x−y2
Answers
21-6=15
the answer is 15
Answer:
27
Step-by-step explanation:
3x−y2= ? if x= 7 & y= -3
Step 1 insert the numbers where they go:
3(7)-(-3)2=
Step 2 the two negatives become a positive:
3(7)+(3)2=
Step 3 multiply:
21+6=
Step 4 add:
27
What is the slope of the line?
Answers
Answer:
1/3
Step-by-step explanation:
Slope formula: y2 - y1/x2 - x1
what is 2.1 times 3.2 find the missing partial products HELP.
Answers
Given:
The area model for [tex]2.1\times 3.2[/tex].
To find:
The value of [tex]2.1\times 3.2[/tex] and the missing values in the area model.
Solution:
2.1 can be written as 2 and 0.1 on the left side of the area model.
3.2 can be written as 3 and 0.2 on the top of area model.
Area of the four parts of the area model are:
[tex]2\times 3=6[/tex]
[tex]2\times 0.2=0.4[/tex]
[tex]0.1\times 3=0.3[/tex]
[tex]0.1\times 0.2=0.02[/tex]
The complete area model is shown below.
After adding all areas of the area model, we get
[tex]6+0.4+0.3+0.02=6.72[/tex]
Therefore, the value of [tex]2.1\times 3.2[/tex] is 6.72 and the missing values of the area model are 0.3 and 0.02 respectively.
please help there is a picture below
Answers
Answer:
4 glasses, point is (32,4)
Step-by-step explanation:
Really tired but if you want an explanation, do tell me.
Josh is going to the store with $60 to buy candy. bags of candy corn cost $3 & bags of chocolate cost $5 he needs to buy at least 20 bags of candy.
What do I put for the blank space? 3x+5y_60
Answers
Answer:
3a+5b
Step-by-step explanation:
Variable 1: a = candy corn
Variable 2: b = chocolate
Inequality 1: 60 ≥ 3a + 5b
Inequality 2: 20 ≤ 3a + 5b
The inequalities are as such because Josh needs to spend no greater than $60. He must also buy at least 20 bags of candy. The candy corn costs $3, while the chocolate costs $5. An expression for the total cost of the candy would be 3a + 5b.
I NEED HELP!!
This is a another question, I'll give you 50 points and a brainlist if you figure this out, all you have to do is to Solve the following multi-step equation, and write it out and describe it on a piece of paper or on your computer don't send me links, send me screenshots of your work show me how you did it.
Answers
Answer: True for all x
Step-by-step explanation:
4x - 6 + 2x = 3(2x-2)
Group Like Terms: 4x+2x - 6 = 3(2x-2)
Add Similar Elements (4x+2x=6x): 6x - 6 = 3(2x-2)
Expand: 3(2x-2) ; 6x - 6
6x - 6 = 6x - 6
Add 6 to Both Sides: 6x - 6 + 6 = 6x - 6 + 6t: 6x - 6x = 6x - 6x
Simplify: 6x = 6x
Subtract: 6x - 6x
Simplify: 0 = 0
Both sides are equal in this equation, therefore all values for x is true.
Hope This Helped, Have A Great Day!
it is true
Answer:
left hand side6+2x
6x-6
right hand side
3(2x-2)
6x-6
now
6x-6=6x-6
0=0
There were 49.7 million people with some type of long-lasting condition or disability living in the United States in 2000. This represented 19.3 percent of the majority of civilians aged five and over (http://factfinder.census.gov). A sample of 1000 persons is selected at random.
a. Approximate the probability that more than 200 persons in the sample have a disability.
b. Approximate the probability that between 180 and 300 people in the sample have a disability.
Answers
Answer:
The answer is "0.274 and 0.841"
Step-by-step explanation:
Given:
In this question, let X the binomial random variable with the parameters:
[tex]n = 1000\\\\P = 0.193[/tex]
Calculating the random variable Z:
[tex]Z= \frac{X - np}{\sqrt{np(l - p)}}=\frac{x -193}{12.48}[/tex]
is an approximately regular, cumulative random variable with [tex]\Phi[/tex] specified in the back of the book in the tables.
Using the continuity and tables to calculate:
[tex]\to \mathbb{P} (X > 200) = \mathbb{P} (X\geq 200.5) \approx \mathbb{P}(Z\geq 0.6)=1- \Phi(0.6) \approx 0.274 \\\\\to \mathbb{P} (180 < X < 300) = \mathbb{P} (180.5 \leq X \leq 299.5) = \approx \mathbb{P} (-1 \leq Z\leq 8.53) = \approx 1- \Phi(-1) \approx 0.841[/tex]
(a) The probability that more than 200 persons throughout the sample have a disability will be "0.08691".
(b) The probability that between 180 - 300 people throughout the sample have a disability will be "0.85122".
ProbabilityAccording to the question,
Majority percentage, P = 19.3% or,
= 0.193
Sample person, n = 1000
Q = 1 - P
= 1 - 0.193
= 0.807
By using Normal approx. to Binomial,
→ Mean, E(X) = n × P
By substituting the values,
= 1000 × 0.193
= 193
Standard deviation, X = √n × p × Q
= √1000 × 0.193 × 807
= 12.4800
(a)
Z = [tex]\frac{X - \mu}{\sigma}[/tex]
= [tex]\frac{210-193}{12.48}[/tex]
= 1.36
The probability be:
→ P(X > 210) = 1 - P (Z < 1.36)
= 1 - 0.9131
= 0.08691
(b)
Z = [tex]\frac{X - \mu}{\sigma}[/tex]
= [tex]\frac{180-193}{12.48}[/tex] or, [tex]\frac{300-193}{12.48}[/tex]
= 8.57
hence,
The probability be:
→ P (180 < X < 300) = P(Z < 8.57) - P(Z < -1.04)
= 1 - 0.1488
= 0.85122
Thus the answers above are correct.
Find out more information about probability here:
https://brainly.com/question/24756209
What are the solutions to 6x²-5x-4=0?
Answers
Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Step-by-step explanation:
Exact Form:
[tex]x=-\frac{1}{2} , \frac{4}{3}[/tex]
Decimal Form:
x=-0.5, -1.¯3
Hope this helps :)
SHOW YOUR WORK
5.9 ÷ 0.54 =?
Answers
Answer:
10.93
Step-by-step explanation:
5.9 ÷ 0.54 = 5.9 x 1/0.54 = 5.9/0.54 = 10.93
two angles are supplementary. the bigger angle is three times as large as the smaller angle.find the measurement of the angles
Answers
Answer:
The bigger angle is 135, and the smaller angle is 45.
Step-by-step explanation:
First, you have to know that supplementary angles add up to 180°.
We have no equations for the angles, so I will use the variable x for the value of the smaller x.
The reason for this: the problem gave the value of the bigger angle, but relative to the smaller angle. Therefore, it would be safe to assume the use of a variable for the smaller angle.
Since the bigger angle is 3 times as large as the smaller, we can say that the bigger angle is 3x, or 3 times x.
Now, we can put this in an equation: 3x+x=180. Like I said before, both of the angles add up to 180 degrees.
To solve the equation:
1. Combine like terms
4x=180
2. Divide both sides by 4
x=45
Now that we have the value of x, we can plug that in to 3x and x to find the angles.
3*45=135, which is the bigger angle
45, which is the smaller angle.
A plumber charges $75 for the service call and $25 per hour (h) for repairs. Write an algebraic expression to represent the total bill for all plumbing services.
A.
(75 + 25)h
B.
75 + 25h
C.
75h + 25
D.
75 + 25 + h
Answers
Answer:B i think if wrong im so sorry
Step-by-step explanation:
Answer:
B 75+25h
Step-by-step explanation:
$75 is the first charge for the service and is constant. $25(per hour) is not constant and changes as the time (hours) changes. That's why it has a h next to it, the h is the variable to hold the place for the hours that would be multiplied in the problem.
Ben decides to start a business walking dogs and cleaning swimming pools. It
takes him 15 minutes to walk one dog and 20 minutes to use a skimmer and clean
one swimming pool.
Which expressions would represent how long it would take ben to walk some dogs and clean some swimming pools?
A.
15+20
B.
15x + 20x
C.
35 + 20x
D.
20 + 35 + 2
Answers
Answer:
It would be B (15x + 20x)
A circle has a circumference of 6. It has an arc of length 1.
What is the central angle of the arc, in degrees?
Answers
Answer:
60 degrees
Step-by-step explanation:
s = r (theta)
(theta) = s/r
= 1 / (3/π) = π/3
as a degree π/3 x 180/π = 60
60 degrees
*Circumference = 2πr
6 = 2πr
r = 6/2π = 3/π
Mr. Bumpkin was
planting vegetables in his
garden. His garden was 4
leet long and 2 feet wide.
What is the area of his
garden
Answers
Answer:
8 feet²
Step-by-step explanation:
A = lw
A = 4(2) = 8 ft squared
Answer: 8 feet squared
Step-by-step explanation:
area=lw
area=4x2
area=8
The monthly utility bills in a city are normally distributed with a mean of $100 and a standard deviation of $12. Find the probability that a randomly selected utility bill is more than $120
Answers
The point (–3,2,–2) lies in the VI octant.
true of false
Answers
The art club is designing a rectangular mural for the school hallway. Three corners are located at (-1, -1), (-1, 1), and (4, 1) on teh coordinate plane. What would be the forth vertex on the coordinate plane below?
Answers
Answer:
The fourth vertex must be located at [tex]Z(x,y) = (4, -1)[/tex]. The graph of the figure is included below.
Step-by-step explanation:
Let be [tex]X(x,y)[/tex], [tex]Y(x,y)[/tex], [tex]Z(x,y)[/tex] and [tex]W(x,y)[/tex] so that a rectangle is formed. Hence, we must satisfy the following conditions:
[tex]X(x,y) = (a, c)[/tex] (1)
[tex]Y(x,y) = (a, d)[/tex] (2)
[tex]Z(x,y) = (b, c)[/tex] (3)
[tex]W(x,y) = (b, d)[/tex] (4)
[tex]a < b[/tex] (5)
[tex]c < d[/tex] (6)
If we know that [tex]a = -1[/tex], [tex]b = 4[/tex], [tex]c = -1[/tex], [tex]d = 1[/tex], then we have the following points:
[tex]X(x,y) = (-1, -1)[/tex]
[tex]Y(x,y) = (-1, 1)[/tex]
[tex]Z(x,y) = (4, -1)[/tex]
[tex]W(x,y) = (4,1)[/tex]
Then, the fourth vertex must be located at [tex]Z(x,y) = (4, -1)[/tex].
Passes through the points (-2, 1) and (2, 3)
Answers
Answer:
slope 1/2
Step-by-step explanation: