Please need help ASAP, 50 points!!!!!!!!!!!!!!!!!!!!!!!!!!
Decide whether the triangles can be proven congruent by the given postulate or theorem. If not, state what information is needed.
Answers
(1). ΔIJH ≅ ΔKHJ, by SSS criterion,
and (2) we need, ΔTNS and ΔUHS are right-triangles and S is the mid-point to prove ΔTNS ≅ ΔUHS, by HL criterion.
What is congruent?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
We have the triangle:
ΔIJH ≅ ΔKHJ.
To prove the congruent by SSS:
We have to show that three sides of the triangle are congruent to three sides of the other triangle.
Here,
IJ ≅ KH.
IH ≅ JH, Given.
And both triangles share the same side JH.
So,
JH ≅ JH
So, ΔIJH ≅ ΔKHJ, by SSS criterion.
ΔTNS ≅ ΔUHS.
To prove the congruent by HL:
We have to show that the triangles are right-triangle and one leg and hypotenuse of the triangle is congruent to one leg and hypotenuse of the other triangle.
So, we need;
ΔTNS and ΔUHS are right-triangles.
S is the mid-point.
So,
SN ≅ SH.
ST ≅ US
So, ΔTNS ≅ ΔUHS, by HL criterion.
Therefore, ΔIJH ≅ ΔKHJ, by SSS criterion and we need;
ΔTNS and ΔUHS are right-triangles and S is the mid-point.
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Related Questions
What is 20 minus 2 equal?
Answers
Answer:
18
Step-by-step explanation:
20-2=18
please brainiest
its 18
------------------
bye! <3
2(-2b)+2b=-8 what does b equal
Answers
Answer:
b = 4
Step-by-step explanation:
[tex]2(-2b) + 2b = -8[/tex]
Open the brackets & simplify the terms (which were in brackets).[tex]=> -4b + 2b = -8[/tex]
[tex]=> -2b = -8[/tex]
Divide both the sides by -2[tex]=> \frac{-2b}{-2} = \frac{-8}{-2}[/tex]
[tex]=> b = 4[/tex]
Helppp can’t figure this one out
Answers
Answer:
x = 5.9
Step-by-step explanation:
Reference angle = 26°
Opposite = x
Adjacent = 12
Apply TO A:
Tan 26 = Opp/Adj
Substitute
Tan 26 = x/12
Multiply both sides by 12
12*Tan 26 = x
5.85279107 = x
x = 5.9 (nearest tenth)
An ice cream store offers waffle cones or sugar cones. Each is equally likely to be chosen.
Which of the following models could be used to simulate this situation?
(HINT: Choose the model with the same number of possible outcomes as cone choices.)
Group of answer choices
A rolling a 6-sided number cube
B spinning a spinner with 3 equal sections
C flipping a coin
D using a random number generator that generates numbers 1 through 9
Answers
Answer:
C
Step-by-step explanation:
hopes it helps you!
Answer:
Flipping a coin
Step-by-step explanation:
It is the best answer, because the other choices do not represent a 50% chance. Rolling a 6-sided number cube would be good if you had 6 things, spinning a spinner would be ideal for 3, and using a number generator would be good for 9 things.
Solve the equation.
3(x−9)=30
Answers
Answer:
x = 19
Step-by-step explanation:
3(x - 9) = 30
Divide both sides by 3 to isolate the binomial.
x - 9 = 10
Add 9 to both sides to isolate x.
x = 19
Check your answer by plugging x = 19 back into the equation.
3(x - 9) = 30
3(19 - 9) = 30
Subtract.
3(10) = 30
Multiply.
30 = 30
Your answer is correct.
Hope this helps!
Answer:
x = 19
Step-by-step explanation:
First, we must distribute 3(x-9) = 30
[tex]3x - 27 = 30[/tex]
Now, that we've distributed this equation, we can proceed.
Secondly, since there is a subtraction sign in front of 27, we must do the opposite, addition.
Add 27 to 27 and 30:
[tex]3x - 27 = 30[/tex]
[tex]-27 + 27 = 0[/tex]
[tex]30 + 27 = 57[/tex]
Furthermore, -27 + 27 is 0, so it cancels itself out. Also, since we added 30 and 27 and got 57, replace 30 with 57.
[tex]3x = 57[/tex]
Lastly, divide 57 by the number in front of coefficient, 3.
[tex]57/3=19[/tex]
Therefore, [tex]x=19.[/tex]
**TO MAKE THIS MORE UNDERSTANDING, THIS IS HOW YOUR EQUATION SHOULD LOOK WHILE SOLVING**
when a fraction has a small numerator and a bigger denominator what you notice about the percent
Answers
when a fraction has a small numerator and a bigger denominator, the percent would be a proper fraction.
What is percent?A percentage is a number or ratio that can be expressed as a fraction of 100 in mathematics. If we need to calculate the percentage of a number, divide it by the whole and multiply by 100.
As a result, the percentage denotes a part per hundred. The term % refers to one hundred percent. The symbol “%” represents it.
Therefore, When a fraction has a small numerator and a large denominator, it is a proper fraction.
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What is the mode of the quiz scores 2?3?4?5?
Answers
Answer:
2
Step-by-step explanation:
Frequency means the number of times the number appears.
2 appears the most since its frequency is the largest. 2 appeared 5 times.
Answer:
To find the mode, you have to find the number that appears the most.
Here, I see that 2 appears the most.
2 is the mode.
Step-by-step explanation:
There are a lot of lazy students.
I hope you are not one of them!
Find the 27th term of a sequence where the first term is – 7
and the common difference is 7.
Answers
175
Explanation:
1. an (any term) = 27
2. a1 (first term) = -7
3. d (common difference) = 7
• Use the explicit formula:
an = d(n - 1) + a1
a27 = 7(27 - 1) - 7
- Subtract inside the parenthesis ():
a27 = 7(26) - 7
- Distribute:
a27 = 182 - 7
- Subtract:
a27 = 175
A jar contains 6 blue gumballs, 4 yellow gumballs, and 8 red gumballs. What is the probability of choosing a yellow gumball and then a red gumball if the first gumball is placed back into the jar before the second is chosen?
Answers
Answer:
2/9 or 22.22% and 4/9 or 44.44%
Step-by-step explanation:
6+4+8=18 4/18=2/9 8/18=4/9
Jason bought 3/4 of jelly beans for $12.60 how much would a pound cost Jason
Answers
Find the missing fraction worksheet 5 1/2 + ? = 7
Answers
Answer:
1 1/2
Step-by-step explanation:
7-5 1/2 is 1 1/2 so 1 1/2+5 1/2 -7
A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with two hoses. Let X denote the number of hoses being used on the self-service island at a particular time, and let Y denote the number of hoses on the full-service island in use at that time. The joint pmf of X and Y appears in the accompanying tabulation.
y
p(x, y) 0 1 2
x 0 0.10 0.03 0.01
1 0.08 0.20 0.06
2 0.05 0.14 0.33
(a) Given that X = 1, determine the conditional pmf of Yi.e., pY|X(0|1), pY|X(1|1), pY|X(2|1). (Round your answers to four decimal places.)
y 0 1 2
pY|X(y|1)
(b) Given that two hoses are in use at the self-service island, what is the conditional pmf of the number of hoses in use on the full-service island? (Round your answers to four decimal places.)
y 0 1 2
pY|X(y|2)
Answers
Answer:
(a)
[tex]\begin{array}{cccc} {y} & {0} & {1} & {2} & {p(y|1)} &{0.2353}&{0.5882} & {0.1765}\ \end{array}[/tex]
(b)
[tex]\begin{array}{cccc} {y} & {0} & {1} & {2} & {p(y|2)} &{0.0962}&{0.2692} & {0.6346}\ \end{array}[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{ccccc}{} & {y} & { } & { }& { } & {x} & {0} & {1} & {2} & {total} & {0} &{0.1}&{0.03} & {0.01} & {0.14} & {1} &{0.08}&{0.20} & {0.06} &{0.34}& {2} &{0.05}&{0.14} & {0.33} &{0.52 } \ \end{array}[/tex]
Solving (a): Find PMF of y if x = 1
This implies that, we consider the dataset of the row where x = 1 i.e.
[tex]\begin{array}{ccccc}{} & {y} & { } & { }& { } & {x} & {0} & {1} & {2} & {total} & {1} &{0.08}&{0.20} & {0.06} &{0.34} \ \end{array}[/tex]
The PMF of y given x is calculated using:
[tex]Py|x(yi)=P(y=y_i|x)=\frac{P(y=x_i\ \&\ x)}{P(x)}[/tex]
When x = 1
[tex]P(x) = 0.34[/tex] --- the sum of the rows
So, we have:
[tex]Py|x(yi)=P(y=y_i|x)=\frac{P(y=x_i\ \&\ x)}{0.34}[/tex]
For i = 0 to 2, we have:
[tex]i = 0[/tex]
[tex]P(y=0|x)=\frac{P(y=0\ \&\ x = 1)}{0.34}[/tex]
[tex]P(y=0|x)=\frac{0.08}{0.34}[/tex]
[tex]P(y=0|x)=0.2353[/tex]
[tex]i =1[/tex]
[tex]P(y=1|x)=\frac{P(y=1\ \&\ x = 1)}{0.34}[/tex]
[tex]P(y=1|x)=\frac{0.20}{0.34}[/tex]
[tex]P(y=1|x)=0.5882[/tex]
[tex]i = 2[/tex]
[tex]P(y=2|x)=\frac{P(y=2\ \&\ x = 1)}{0.34}[/tex]
[tex]P(y=2|x)=\frac{0.06}{0.34}[/tex]
[tex]P(y=2|x)=0.1765[/tex]
So, the PMF of y given that x = 1 is:
[tex]\begin{array}{cccc} {y} & {0} & {1} & {2} & {p(y|1)} &{0.2353}&{0.5882} & {0.1765}\ \end{array}[/tex]
Solving (b): The interpretation of (b) is to find the PMF of y if x = 2
This implies that, we consider the dataset of the row where x = 2 i.e.
[tex]\begin{array}{ccccc}{} & {y} & { } & { }& { } & {x} & {0} & {1} & {2} & {total} & {2} &{0.05}&{0.14} & {0.33} &{0.52 }\ \end{array}[/tex]
When [tex]x = 2[/tex]
[tex]P(x) = 0.52[/tex]
So, we have:
[tex]Py|x(yi)=P(y=y_i|x)=\frac{P(y=x_i\ \&\ x)}{0.52}[/tex]
For i = 0 to 2, we have:
[tex]i = 0[/tex]
[tex]P(y=0|x)=\frac{P(y=0\ \&\ x = 2)}{0.52}[/tex]
[tex]P(y=0|x)=\frac{0.05}{0.52}[/tex]
[tex]P(y=0|x)=0.0962\\[/tex]
[tex]i =1[/tex]
[tex]P(y=1|x)=\frac{P(y=1\ \&\ x = 2)}{0.52}[/tex]
[tex]P(y=1|x)=\frac{0.14}{0.52}[/tex]
[tex]P(y=1|x)=0.2692[/tex]
[tex]i = 2[/tex]
[tex]P(y=2|x)=\frac{P(y=2\ \&\ x = 2)}{0.52}[/tex]
[tex]P(y=2|x)=\frac{0.33}{0.52}[/tex]
[tex]P(y=2|x)=0.6346[/tex]
[tex]P(y=0|x)=0.0962\\[/tex]
[tex]P(y=1|x)=0.2692[/tex]
[tex]P(y=2|x)=0.6346[/tex]
So, the PMF of y given that x = 1 is:
[tex]\begin{array}{cccc} {y} & {0} & {1} & {2} & {p(y|2)} &{0.0962}&{0.2692} & {0.6346}\ \end{array}[/tex]
The total weight of 15 bags of groceries is 45 pounds. If each bag weighs the same amount, how much would 7 bags of groceries weigh?
Answers
7 bags weigh 21 pounds. 7 x 3 = 21
How are they equivalent?
Answers
Answer:
A
Step-by-step explanation:
When you distribute what is in the parentheses you get 2.5m + 7m=9.5m, and then you add that to m aka 1m, which is 10.5m and they both end with -2.
Given that f(x)=x+9 and g(x)=4x
Evaluate:
a) fg(2)
b) gf(2)
Answers
Answer:
f(x)=11
g(x)=8
Step-by-step explanation:
f(x)=(2)+9=11
g(x)=4(2)=8
BRAINLIEST PLEASE
identify the part of following expression 4x-2y + 6/ 2x
Coefficients:
Constants:
Variable Terms:
Like Terms:
Answers
identification of the expression 4x- 2y + 6 = 2x is
Coefficient: 4, -2, 2Constant: 6Variable term: 4x, -2yLike terms: 4x and 2xWhat is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, a linear expression 4x-2y + 6 = 2x
Coefficient:
Coefficients are the numbers by which the variables in an equation are multiplied
Thus, the Coefficient terms for this equation = 4x, -2y, 2x
Constants:
the constant is the part of the expression that does not vary with the value of x and y.
Thus, constant terms for this equation = 6
variable terms:
These are the terms that vary at the different values of x and y.
Thus, variable terms for this equation = 4x, -2y
Like terms:
Terms that have identical variable parts (same variable(s) and same exponent(s))
thus, Like terms for this expression = 4x, 2x
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in last weeks volleyball game Ashley served 15 times and made 2 errors. What was her serving percentage? (what percent did she serve it in?
Answers
hope this helps
Beverly Hobbs earns $683 a week she is single and claims 2 allowances what amount is withheld weekly for federal income tax
Answers
Therefore, $52.25 is the answer to the inquiry about what percentage of a person's income is withheld each week for federal income tax.
What is percentage?A % is a number that indicates how many out of 100 it is, and it can also be expressed as a decimal or a fraction. Put the percentage value in the numerator and 100 in the denominator to convert a percentage to a fraction.
Here,
The Federal Insurance Contribution Act is the American legislative framework in use here, and it contains the criteria and guidelines that are utilized to determine payroll taxes on an employee's paychecks. The social security and Medicare programs are funded through taxation, which is paid by both employers and employees.
The amount of federal income tax deducted from the weekly cheque is:
6.2% from Social Security plus 1.45% from Medicare.
= 7.5 percent of the weekly gross salary.
The amount of federal income tax withheld each week from Beverly Hibbs's $683.00 weekly salary is:
= 0.0765 × 683
= $52.25
Therefore, $52.25 is the answer to the inquiry about what proportion of a person's income is withheld each week for federal income tax.
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Lena sells two types of fidget toys. The price for each fidget toy A is x and the price for each Fidget B is y. Write an equation that will let her earn a profit of $3500 if she sells 20 of Fidget A and 60 of Fidget B
Answers
Answer:
3500 = 20x + 60y
Step-by-step explanation:
Its just the answer
2 1/12 - 1 5/12
How many are left?
Answers
Answer:
is it 21 or 2 whole?
Step-by-step explanation:
plz clarify the question first i am discombobulated
Ques below: please answer that
Answers
990 divided by 55 equals 18
The sum of two numbers is 210 and their difference is 30. What are the two numbers?
Answers
Answer:
120 and 90
Step-by-step explanation:
let one number be x and the other y
x + y = 210 (sum = 210)
x - y = 30 (difference = 30)
add the two equations together
2x = 240
divide both sides by 2 to isolate x
x = 120
plug into 1st equation
120 + y = 210
subtract 120 from both sides
y = 90
We take the 2 numbers as 'x' and 'x-30' in order to find those numbers
We plug the values into the given equation
[tex]x + x - 30 = 210\\2x - 30 = 210\\\\2x = 240\\x = \frac{240}{2} \\x = 120\\x - 30 = 120 - 30 = 90\\[/tex]
[tex]120 - 90 = 30[/tex]
Hence , the two numbers are 120 and 90
Two alien spaceships start traveling toward each other from space stations that are 710,000 km apart. The first spaceship started an hour before the second spaceship and is traveling at 110,000 km/hr. In how many hours will the two spaceships meet if the second spaceship is traveling at 90,000 km/hr?
The spaceship will meet in how many hours?
Answers
The time that it will take for the spaceships to meet is given as follows:
3 hours.
How to model the situation?Each of the spaceships is traveling at a constant rate, hence linear functions are used to model the situation.
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which the parameters are given as follows:
The slope m represents the velocity.The intercept b represents the initial position.The positive direction is considered from the first spaceship towards the second spaceship.
The first spaceship started an hour before the second spaceship and is traveling at 110,000 km/hr, hence the difference when the second spaceship starts traveling is given as follows:
710,000 - 110,000 = 600,000 km.
Then the functions are given as follows:
x1(t) = 110t.x2(t) = 600 - 90t. (negative as they travel in opposite direction).They will meet when:
x1(t) = x2(t).
Hence:
110t = 600 - 90t
200t = 600
t = 600/200
t = 3 hours.
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The time that it will take for the spaceships to meet is given as follows:
3 hours.
How to model the situation?
Each of the spaceships is traveling at a constant rate, hence linear functions are used to model the situation.
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which the parameters are given as follows:
The slope m represents the velocity.
The intercept b represents the initial position.
The positive direction is considered from the first spaceship towards the second spaceship.
The first spaceship started an hour before the second spaceship and is traveling at 110,000 km/hr, hence the difference when the second spaceship starts traveling is given as follows:
710,000 - 110,000 = 600,000 km.
Then the functions are given as follows:
x1(t) = 110t.
x2(t) = 600 - 90t. (negative as they travel in opposite direction).
They will meet when:
x1(t) = x2(t).
Hence:
110t = 600 - 90t
200t = 600
t = 600/200
t = 3 hours.
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100 POINTS TO WHOEVER ANSWERS CORRECT
if you could ask any 2 questions about a 5th degree polynomial function what would they be and why. HURRY
Answers
Answer:
Why is there no general symmetry?
Does it always take six points or six pieces of information to describe a quintic function?
Why are the roots not solvable by radicals?
I really don't know the "why", I just steer away from them when I can.
Approximate the solutions to this system. y=3x^2+x-6
y=x-4
Round your answer to the nearest hundredth.
Answers
In a class of 30 students, 6 have a brother and 12 have a sister. There are 14 students
who do not have any siblings. What is the probability that a student chosen randomly
from the class has a brother and a sister?
HELPPPPPP
Answers
14 have no siblings
that leaves 16 with siblings
6 have brothers and 12 have sisters which = 18 so 2 of the students have both a brother and a sister
2/30 students have a brother and a sister
1/15 chance
What is the following difference?
2ab(√/192ab²)-5[√/81a¹b³
O-3ab √3ab²
O 18ab² (2/3a)-45a2b² (2√3b)
0-7ab(2√3ab²)
O
8ab(√3ab²-15ab² (2√3ab)
Answers
Expressions with equal values are considered equivalent expressions. the difference is 2ab(√/192ab²)-5[√/81a¹b³ is -7ab(2√3ab²)
what are expressions ?In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted.
given
Rewrite the above expression as:
[tex]2ab\sqrt[3]{3*4^{3} *ab^{2} } - 5\sqrt[3]{3*3^{3} * a^{4}b^{5} }[/tex]
Evaluate the cube roots
[tex]2ab {4\sqrt[3]{3ab^{2} } } - 5 {3ab\sqrt[3]{3ab^{2} }[/tex]
Evaluate the differences
-7ab(2√3ab²)
Expressions with equal values are considered equivalent expressions. the difference is 2ab(√/192ab²)-5[√/81a¹b³ is -7ab(2√3ab²)
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Which expression results in a rational number?
Answers
Answer:
3
Step-by-step explanation:
It equal .4, which is rational because it doesn't repeat.
Answer:
3
Step-by-step explanation:
dave earns $200 per week plus 4.1 commission. He sold $5175.50 in the month of February. What is his gross monthly earinings for february?
Answers
The gross monthly earnings for February will be $1012.2
How to illustrate the expression?It should be noted that gross monthly earnings simply means the earnings that an individual makes for a particular month.
In this case, Dave earns $200 per week plus 4.1 commission. He sold $5175.50 in the month of February. His gross monthly earnings for February will be:
= ($200 × 4) + (4.1% × $5175.50)
= $1012.2
Therefore, $1012.2 will be the earnings.
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14. Find ST, 5 points plz
Answers
Answer:
7 Can I have brainliest
Step-by-step explanation: