Answers
Answer:
See image
Step-by-step explanation:
On line 3, the reason is filled in that "All right angles are congruent" so kind of working backwards, the statement must say that two right angles are congruent. Use the angles in the previous two statements. Line 4 has the statement completely filled in, the reason is bc it is given in the list of given statements beside the diagram. Line 5 says that RT is congruent to itself. That is reflexive property, like a reflection in a mirror. Same ~= same.
You can see from the markings on the image that you have Angle-Side-Angle, which is one of several ways that we can show that triangles are congruent. ASA is what is shown in statements 1-5. See image.
Related Questions
Francis owns a cake shop. She is currently preparing cupcakes (x) and cookies (y) for two birthday
parties. The first birthday party ordered 20 cupcakes and 40 cookies and their total cost was $61. The second birthday party ordered 30 cupcakes and 30 cookies. Their total cost was $64.50.
Answers
Answer:
Step-by-step explanation:
20x + 40y = 61 this is the equation for the first party
30x + 30y = 64.50 this is the equation for the second party.
I need help with pre calculus.
Answers
Question 1
Answer: Choice A) -7-----------------
Explanation:
To compute f(g(2)), we'll first need to find g(2).
Locate 2 in the x row. Then read straight down until you get to the g(x) row. You should find that g(2) = 4
This means f(g(2)) becomes f(4). We then repeat the same process as before. Locate 4 in the x row, read straight down til you get to the f(x) row to find that f(4) = -9
Overall, we can say f(g(2)) = -9
We do the same set of steps to compute g(f(-1)). You should find that f(-1) = -1 and g(f(-1)) = g(-1) = -2
Lastly, we subtract the results we got:
f(g(2)) - g(f(-1)) = -9 - (-2) = -9+2 = -7
==============================================
Question 2
Answer: Choice B) 0-----------------
Explanation:
If you were to graph each equation, you should get what you see below.
The red and blue curves do not intersect in any way. We need an intersection point to have a solution. Because there are no intersections, we don't have any solutions. The system is considered inconsistent.
==============================================
Question 3
Answer: Choice B[tex]-2x^2+250x-2000[/tex]-----------------
Explanation:
x = number of scooters made and sold
Each scooter costs $150 to make. If you made x of them, then it costs 150x dollars. Then tack on the fixed cost of $2000 to get the expression [tex]150x+2000[/tex]
The cost function is [tex]C(x) = 150x+2000[/tex]. We'll subtract this from the revenue function R(x) to get the profit P(x)
[tex]\text{Profit} = \text{Revenue} - \text{Cost}\\\\P(x) = R(x) - C(x)\\\\P(x) = (400x-2x^2) - (150x+2000)\\\\P(x) = 400x-2x^2-150x-2000\\\\P(x) = -2x^2+250x-2000\\\\[/tex]
==============================================
Question 4
Answer: Choice B[tex]\left\{x\in \mathbb{R} \big| \ x \ne -2, x \ne 1\right\}[/tex]
-----------------
Explanation:
[tex]g(x) = \frac{1}{x+1}\\\\g(f(x)) = \frac{1}{f(x)+1}\\\\g(f(x)) = \frac{1}{x^2+x-3+1}\\\\g(f(x)) = \frac{1}{x^2+x-2}\\\\g(f(x)) = \frac{1}{(x+2)(x-1)}\\\\(g\circ f)(x) = \frac{1}{(x+2)(x-1)}\\\\[/tex]
I started with the outer function g(x) and replaced each x with f(x) in the second step. Then I plugged in f(x) = x^2+x-3 and simplified. Factoring the denominator is helpful to determine where the denominator becomes zero. Specifically, it happens when x = -2 and x = 1. These x values must be kicked out of the domain to avoid a division by zero error.
So we start off with the real number line, and poke holes at x = -2 and x = 1.
The notation [tex]x \in \mathbb{R}[/tex] means x is a real number. Then we tack on [tex]x \ne -2, x \ne 1[/tex]
Overall, the domain is [tex]\left\{x\in \mathbb{R} \big| \ x \ne -2, x \ne 1\right\}[/tex]
Let's see what happens if we tried plugging x = -1 into this composite function:
[tex](g \circ f)(x) = \frac{1}{(x+2)(x-1)}\\\\(g \circ f)(-1) = \frac{1}{(-1+2)(-1-1)}\\\\(g \circ f)(-1) = \frac{1}{(1)(-2)}\\\\(g \circ f)(-1) = \frac{1}{-2}\\\\(g \circ f)(-1) = -0.5\\\\[/tex]
We don't get a division by zero error, so x = -1 is allowed. The same can be said about any other x value as long as it's not -2 and not 1 either.
Can someone help me??
Answers
Answer:
The answer is B
Step-by-step explanation:
Explanation
I need help with this please
Answers
Answer:
I’m not sure what that means but I think it’s the one with the blue
Step-by-step explanation:
Mike Jones bought a new split-level home for $150,000 with 20% down. He decided to use Victory Bank for his mortgage. They were offering for 25-year mortgages. Provide Mike with an amortization schedule for two periods. (Use Table 15.1(b)). (Do not round intermediate calculations. Round your answers to the nearest cent.) Payment number Portion to— Balance of loan Interest Principal outstanding 1 2
Answers
Value of Home = $150000
Down payment = 20% of $150000 = $30000
Loan Amount = $150000 - $30000 = $120000
Interest on Loan = 13.3/4% or 13.75%
Duration of Loan = 25Year
Calculation:-
Interest per month = 13.75%/12 =0.0114583333333333 % or 0.011458%
No. of months payment required = 25 years x 12 Months = 300 Months
To Calculated the monthly mortgage payment:-
The formula is M = P*i*(1 + i)^n/(1+i)^n – 1
Where M is monthly payment of Mortgage
P = principal amount of Loan = $120000
i = interest per month = 0.011458%
n=duration of loan in months = 300 months
When we apply the formula:
M = $120000*[0.011458*(1+0.011458)^300/(1+0.011458)^300-1]
= $120000*[0.011458*(1.011458)^300/(1.011458)^300-1]
=$120000*[0.011458*30.50697/30.5067-1]
=$120000*[0.011458*30.50697/29.50697]
=$120000*[0.349559/29.50697]
=$120000*0.011847 =$1421.60
So,Morgage payment Per month $1421.60
Period 1
Interest for 1st period = $120000 x0. 011458 = $1374.96
Pricipal Amount paid = $1421.60 -$1374.96 =$46.64
Balance in Principal amount = $120000-$46.64 =$119953.36
Period 2
Interest for 1st period = $119953.36 x0. 011458 =$1374.43
Pricipal Amount paid = $1421.60 -$1374.43 =$47.17
Balance in Principal amount = $119953.36 - $47.17 =$119906.19
Evaluate the given expression for x = 4.
x? + 5x - 8
Answers
Answer:
16
Step-by-step explanation:
[tex]x = 4 \\ 4 + 5(4) - 8 = 16[/tex]
What is the value -3/5 + (-0.75) +4 7/10
Enter your answer in the box.
Answers
Answer:
67/20 as an improper fraction, 3 7/20 as a mixed number and, 3.35 as a decimal
Hope this helped :)
Step-by-step explanation:
The sum of two numbers is 30. Their difference is 12. Use substitution to solve a system of equations to solve for the two numbers.
Answers
Answer:
9 and 21
Step-by-step explanation:
setting up the equation
let x and y represent the two numbers
this means that x + y = 30
x - y = 12
using substitution to solve
if x - y = 12, that can be rearranged to x = y + 12.
substitute x = y + 12 into x + y = 30
you get (y + 12) + y = 30
simplify
2y + 12 = 30
2y = 18
y = 9
plug this into the original equation x + y = 30. this would be
x + 9 = 30
x = 21
the numbers are 21 and 9.
Which ordered pair is in the solution set of 3x − 2y ≥ -1?
F.(-2, -2.5)
G.(-1, 1)
H.(2, 4)
J.(1, 2.5)
Answers
Answer:
G
Step-by-step explanation:
Therefore, the option [tex]G(-1,1)[/tex] is correct.
What is the inequality?
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Here given inequality equation
[tex]3x- 2y \geq -1[/tex]
When the points [tex](-1,1)[/tex] so it would be
[tex]3(-1)-2(1)\geq -1\\\\-3-2\geq -1\\\\-5\geq -1[/tex]
Hence, the option [tex]G(-1,1)[/tex] is correct.
To know more about the inequality
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Find the perimeter and area of this polygon.
Answers
Answer:
perimeter=114
AREA= 308
Step-by-step explanation:
A^2 + B^2=C^2
then A+B=+C= P for triangle
52= triangle perimeter
rectangle:
(l+w)*2=p for rectangle=62
then add 52+62= 114
AREA- Triangle
b*h/2
22*10=220
220/2
= 110
AREA- Rectangle
l*w=A
22*9=198
ADD BOTH AREAS
198+110=308
HOPE IT HELPS
2+2 (I have been having a lot of trouble on this
Answers
Answer:
it's 4
Step-by-step explanation:
I hope it helps .....
Answer:
4
Step-by-step explanation:
2+2=4
I'll give a real world problem to help you understand. So pretend that you have 2 cookies on your plate and your sibling has 2 cookies on their plate too. If your siblings gives you their 2 cookies and you add them to your plate, how many cookies are on your plate now? There should now be 4 of them!
Does this help?
(Brainliest question) Which type of study best describes the following research most likely to be done? A researcher is trying to determine the effects of animal habitats and animal populations after forest fires. So she visits places that have had a naturally occurring Forest fire to study the area.
Experimental study
Observational study
Simulation study
Double blind study
Answers
Answer:
Observational study
Step-by-step explanation:
See the researcher visits the forest.She want to experience or observe the forest fire.She want to observe how it affects the animals.Hence it's observational studyPrime number after
167, 118, 82, 57, 41, ?
Answers
Prime numbers after 167, 118, 82, 57, 41, are:
37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2
Prime numbers are numbers that only have two factors, 1, and themselves.
Apart from these factors, no number can divide them without a remainder.
By observation, the numbers 167, 118, 83, 57, 41, are written in descending order.
This means that the prime number to be chosen will be lesser than 41
Prime numbers lesser than 41 are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37
Learn more on prime numbers here: https://brainly.com/question/145452
A principle at a certain high school claims that the students in her school are above average in SAT. She collects a random sample of 50 students and given an SAT test that provided with a mean score of 541. Is there sufficient evidence statistically to support the principal’s claim? The mean population SAT score is 500 with a standard deviation of 100. SAT scores are normally distributed. Please show all the steps involved in a hypothesis testing including proper statistical symbols, formula used, and report/interpret results in complete sentences.
Answers
Using the z-distribution, it is found that since the value of the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence to support the principal’s claim.
At the null hypothesis, it is tested if they are not above average, that is, their mean is of 500 or below, hence:
[tex]H_0: \mu \leq 500[/tex]
At the alternative hypothesis, it is tested if they are above average, that is, their mean is of more than 500, hence:
[tex]H_1: \mu > 500[/tex]
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 541, \mu = 500, \sigma = 100, n = 50[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{541 - 500}{\frac{100}{\sqrt{50}}}[/tex]
[tex]z = 2.9[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with the standard 0.05 significance level, is of [tex]z^{\ast} = 1.645[/tex].
Since the value of the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence to support the principal’s claim.
A similar problem is given at https://brainly.com/question/25728144
Write a number using the following clues:
a multiple of 6
greater than 40, but less than 90
Answers
Answer:
48
Step-by-step explanation:
There are various multiples of 6 that are greater than 40, but less than 90. Including 42, 48, 54, 60, 66, 72, 78, and 84. :)
Maxden wanted to measure the length of the objects below.
For each one circle which unit of measurement he should use.
A. His puppy
Inches or Yards
B. A toy car
Yards or Centimeters
C. Width of his desk
Yards or Feet
D. His foot
Inches or Yards
Answers
B : centimeters
C: feet
D: inches
Enter the number that belongs in the green box
Answers
Answer:
128 degrees
Step-by-step explanation:
Opposite interior angles
The owner of a retail store is tracking his inventory for an annual report. The graph shows the remaining inventory for a particular item and the number of days that have passed since the stock was replenished. Which type of function best models the relationship between the number of days and the inventory remaining? A. a linear function with negative slopes
Answers
Let y represent units of inventory, and x represent days since the last replenishment. We are given points (x, y) = (3, 61) and (13, 33). The line through these points can be described using the 2-point form of the equation of a line:
... y -y1 = (y2-y1)/(x2 -x1)(x -x1)
Filling in the given point values, we have ...
... y -61 = (33 -61)/(13 -3)(x -3)
Simplifying and adding 61, we get ...
... y = -2.8x +69.4
Mary works at a local Burger King restaurant. Her regular hourly wage is $14.70. If she works overtime, she
receives an hourly rate of 14 times her regular hourly rate. If she regularly works 40 hours per week with no
overtime, what is her regular weekly pay?
$882
$2.94
$588
$294
Answers
Answer:
I’m pretty sure it’s 588
Step-by-step explanation:
14.70 * 40 = 588
The weights of a certain brand of candies are normally distributed with a mean weight of 0.8593 g and a standard deviation of 0.0511 g. A sample of these candies came from a package containing 464 candies, and the package label stated that the net weight is 396.1 g. (If every package has 464 candies, the mean weight of the candies must exceed 396.1 464=0.8537 g for the net contents to weigh at least 396.1 g.)
Answers
Answer:
The package label stated that the net weight is 381.8g If every package has ... brand of candies have a mean weight of 0.8616g and a standard deviation of ...
What is the value of X
Answers
The answer would be 6 I belive make sure to double check it
Estimate the product of 54 X 68.
Answers
Answer:
54 X 68=3672
Step-by-step explanation:
How do you use observed data to predict unobserved
Answers
There is 60% chance that it will rain today. If it rains, the probability of watching a movie is 0.5. But, if it does not rain then the probability of watching a movie is 0.3. What is the probability of watching a movie today?
Answers
Applying the given probabilities, it is found that there is a 0.42 = 42% probability of watching a movie today.
These following probabilities involve a movie being watched today:
0.5 of 0.6(if it rains today).0.3 of 1 - 0.6 = 0.4(if it does not rain today).Hence, adding them:
[tex]p = 0.5(0.6) + 0.3(0.4) = 0.3 + 0.12 = 0.42[/tex]
0.42 = 42% probability of watching a movie today.
A similar problem is given at https://brainly.com/question/14398287
Select all that apply.
Zack is taking a test in which he answers questions at a rate of question per minute. If Q represents questions and
M represents minutes, which of the following equations describe this rate relationship?
M= 20 x Q
Q = 2 x M
M=1/2 x Q
Q=1/2 x M
Answers
The equation Q = 2 x M represents the relationship between question and time.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
Zack takes a test, in which he answers at rate of 2 question per minute.
Also, Q represents questions
And M represents minutes.
According to given condition,
In 1 minute, Zack answers 2 question,
In M minutes, Zack answers 2 x M question,
Total questions presented by Q,
Q = 2 x M.
The required relationship for M and Q is Q = 2 x M.
To know more about Equation on:
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Which expression is equivalent to w • 35?
Answers
Answer:W= B-3 or 3=B-W
Step-by-step explanation:
-2(4x-6)=6-6x help me
Answers
Answer:
x=3
Step-by-step explanation:
you have to move the terms collect like terms and divide both sides and down load photo math that helps alot with giving answersWhat is the constant of proportionality in xy-11=5?
Answers
Answer:
xy-11=5
ANSWER:
=16
Step-by-step explanation:
hope it helps to you
mark me as a brainlest please
What is the x-value of the vertex of f(x) = -x2 + 9x - 11 ?
Answers
Answer:
I believe it would be 9/2 !
Step-by-step explanation:
ANSWER FOR BRAINIEST!!!
How do you answer this and what did I do incorrectly?
Answers
Answer:
x=5[tex]\frac{16}{3}[/tex]/(4-[tex]\frac{16}{3}[/tex])
Step-by-step explanation:
Hi, these are not my strong point, Sorry if its incorrect.
6-[tex]\frac{2}{3}[/tex](x+5)=4x
I first did 6-[tex]\frac{2}{3}[/tex]
6/1 -2/3, 18/3-2/3 =16/3
[tex]\frac{16}{3}[/tex](x+5)=4x
I then expanded the bracket to get [tex]\frac{16}{3}[/tex]x+5[tex]\frac{16}{3}[/tex]
[tex]\frac{16}{3}[/tex]x+5[tex]\frac{16}{3}[/tex]=4x
Then I took away [tex]\frac{16}{3}[/tex]x from both sides to get.
5[tex]\frac{16}{3}[/tex]=4x-[tex]\frac{16}{3}[/tex]x
I then factorised x out
5[tex]\frac{16}{3}[/tex]=x(4-[tex]\frac{16}{3}[/tex])
I then divided by the bracket to get:
x=5[tex]\frac{16}{3}[/tex]/(4-[tex]\frac{16}{3}[/tex])
Answer:
4/7
Step-by-step explanation:
[tex]6 - \frac{2}{3} (x + 5) = 4x[/tex]
U take -2/3 into the brackets
[tex]6 - \frac{2}{3} x - \frac{10}{3} = 4x[/tex]
Put all values with x on one side
[tex]6 - \frac{10}{3} = 4x + \frac{2}{3} x[/tex]
Ensure that they all have the same denominator so that u can add and subtract
[tex] \frac{18}{3} - \frac{10}{3} = \frac{12}{3} x + \frac{2}{3} x[/tex]
[tex] \frac{8}{3} = \frac{14}{3} x[/tex]
Drop the denominator since they both have the same denominator
[tex]8 = 14x[/tex]
divide both sides by 14
[tex] \frac{8}{14} = \frac{14}{14} x[/tex]
[tex]x = \frac{4}{7} [/tex]
