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Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's check I the given pairs of triangles are congruent or not ~
problem 1[tex]\qquad \sf \dashrightarrow \:ABC \cong FED[/tex]
These triangles are congruent by SSS congruency, as it's three sides are equal.
・ ．━━━━━━━†━━━━━━━━━．・
problem 2[tex]\qquad \sf \dashrightarrow \:LMN \not \cong PQO[/tex]
・ ．━━━━━━━†━━━━━━━━━．・
These triangles are not congruent because they don't fulfill any congruency criteria.
problem 3[tex]\qquad \sf \dashrightarrow \: XVW \cong YZA [/tex]
These triangles are congruent by AAS congruency criteria, since two angles and one of the side is common.
・ ．━━━━━━━†━━━━━━━━━．・
problem 4[tex]\qquad \sf \dashrightarrow \: GHI \not \cong IJG [/tex]
These triangles are not congruent because they don't fulfill any criteria.
・ ．━━━━━━━†━━━━━━━━━．・
problem 5[tex]\qquad \sf \dashrightarrow \: PQR\cong QPO[/tex]
These triangles are congruent by SSS congruency, as it's two sides are equal and one side is common.
・ ．━━━━━━━†━━━━━━━━━．・
problem 6[tex]\qquad \sf \dashrightarrow \: JIK \cong HIG [/tex]
These triangles are congruent by SAS congruency, since two sides and Angle between them are equal.
・ ．━━━━━━━†━━━━━━━━━．・
Problem 7These given triangles are congruent by SSS congruency, because they have two equal sides and one common side in there.
・ ．━━━━━━━†━━━━━━━━━．・
problem 8[tex]\qquad \sf \dashrightarrow \: BCD \cong FED [/tex]
These triangles are congruent by ASA congruency, because they have one pair equal angles, one pair of vertical opposite angles (they are equal) and a side between them equal.
・ ．━━━━━━━†━━━━━━━━━．・
problem 9[tex]\qquad \sf \dashrightarrow \: LKM \cong LNM [/tex]
These given triangles are congruent by SSS congruency, because they have two equal sides and one common side in there.
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
Related Questions
Find the coordinates of the vertex for the parabola defined by the given quadratic function.
f(x) = 2x² – 20x +7
The vertex is
(Type an ordered pair.)
Answers
Answer:
(5, -43)
Step-by-step explanation:
The value of the x-coordinate of the vertex of a function in standard form is given by -b/2a. The value of a is the coefficient of the x^2 term. The value of b is the coefficient of the x term. In this problem, a = 2 and b = -20. When you evaluate -b/2a you would replace the b with -20 and replace the a with 2 so you get -(-20)/2(2) so the value of x is 5. Determine the value of y by evaluating f(5) = 2(5)^2 - 20(5) +7.
Larger is 32 ounces and sells for 2.99 and smaller is 18 ounce and sells for 1.59
What is the better buy
Answers
Divide price by size of each and compare the u it price:
2.99/32 = 0.0934 per ounce
1.59/18 = 0.0883 per ounce
The 18 ounce do $1.59 has a lower cost per ounce so is the better buy
Show that f(x) = 3x
4 − 2x
2 + 5 is an even function.
Answers
Step-by-step explanation:
This f(x) is an even function.
Explanation:
An even function is one where f(−x)=f(x) for all x in the domain.
An odd function is one where f(−x)=−f(x) for all x in the domain.
In the case of f(x)=3x4−x2+2 we find:
f(−x)=3(−x)4−(−x)2+2=3x4−x2+2=f(x)
So f(x) is an even function.
Actually, there is a shortcut with polynomial functions:
If all of the terms have even degree then the function is even.
If all of the terms have odd degree then the function is odd.
Otherwise the function is neither odd nor even.
in our example, 3x4 has degree 4, −x2 has degree 2 and 2 has degree 0. So all of the terms are of even degree and the function is even
Find the point P on the line y = 5x that is closest to the point (52,0)
Answers
Answer:
(2,10)
Step-by-step explanation:
Whenever you want to find the point that is closest, it will always be perpendicular to the line
This is because the perpendicular line is the shortest distance to a point (it will make 90 degrees with the line)
So
In order to find the slope of the perpendicular line, you take the slop and you do the negative reciprocal of it.
In this case:
the slope is 5
So:
the negative reciprocal is -1/5
Now we know the slope of the line that will be made by point P to intersect with y=5x
Then, you use the equation:
y=mx+b
and plug in the numbers that you know which is the y coordinate, x coordinate, and slope to find the y-intercept:
0 = -1/5(52) + b
b = 52/5
Finally, set the equations equal to each other to find the point that the perpendicular line intersects y=5x
5x = -1/5x + 52/5
x = 2
then to find the y coordinate you plug the x back into the equation:
y = 5(2)
y = 10
So the answer is (2,10)
Solve the two-step equation.
3
4
(x) − 1.72 = −6.82
1. The first step is to
✔ add 1.72
on both sides.
2. The second step is to
on both sides.
The solution is x =
.
Answers
Answer:
[tex]\boxed{\sf{x=-0.15}}[/tex]Step-by-step explanation:
Isolate the term of x from one side of the equation.
34(x)-1.72=-6.82Rewrite the problem down.
⇒ 34x-1.72=-6.82
First, add by 1.72 from both sides.
⇒ 34x-1.72+1.72=-6.82+1.72
Solve.
⇒ -6.82+1.72=-5.1
Rewrite the problem down.
⇒ 34x=-5.1
Divide by 34 from both sides.
⇒34x/34=-5.1/34
Solve.
Divide the numbers from left to right.
⇒ -5.1/34=-0.15
⇒ x=-0.15
Therefore, the solution is x=-0.15, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
Here is the correct answer is this
Step-by-step explanation:
Some pens are shared among three students anne,lucy, and John.Anne gets 5 times many pens as lucy, and lucy gets 2 pens less than john. Suppose John gets x pens, how many pens does anne get in terms of x
Answers
Using a system of equations, it is found that Anne gets 5x - 10 pens.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, we consider that John gets x pens.
Lucy gets 2 pens less than john, hence:
L = x - 2.
Anne gets 5 times many pens as lucy, hence:
A = 5L = 5(x - 2) = 5x - 10.
More can be learned about a system of equations at https://brainly.com/question/24342899
If tomorrow i said, "the day before yesterday was saturday",then what is today?
Answers
Answer:
Monday
Step-by-step explanation:
If day before yesterday was Saturday, so today is Monday.
Choose the best answer that represents the property used to rewrite the expression.
log6 20 - log6 x = log6 20/x
Answers
Answer:
㏒₆ (18) - ㏒₆ (6) = ㏒₆ (3)Here subtraction of logarithm given. So we have to use the property of logarithm of quotient.The property says that㏒ₐ (M) - ㏒ₐ (N) = ㏒ₐ (M/N)So for subtraction we have to divide them. That is logarithm of difference becomes the quotient.So we can write,㏒₆ (18) - ㏒₆ (6) = ㏒₆ (18/6) If we divide 18 by 6 we will get 3.So, ㏒₆ (18) - ㏒₆ (6) = ㏒₆ (3)
Step-by-step explanation:
Answer:Quotient Property
Step-by-step explanation:The property used to rewrite the expression is the quotient rule of logarithms, which states that log_b(x/y) = log_b(x) - log_b(y).
PLEASE HELP! CALCULUS
Answers
Answer:
[tex] 55 < A < \frac{149}{2} [/tex]
Step-by-step explanation:
Given:
Function g(x) = 2x²-x-1, [2,5],
N = 6 rectangles
To find:
Two approximation (Left endpoint and Right endpoint of the area) of the area.
Solution:
Using Right endpoint approximation,
[tex]\Delta x = \frac{b - a}{N} \\ \Delta x = \frac{5 - 2}{6} \\ \Delta x = \frac{3}{6} = \frac{1}{2}[/tex]
Now,
[tex]\displaystyle\sf \: R_n = \Delta x \: \sum_{i=1}^N f(a + i \Delta x)[/tex]
Where i = 1,2,3,4......
Substituting value of N, ∆x and a in above equation,
[tex]\displaystyle\sf \: R_n = \Delta x \: \sum_{i=1}^N f(a + i \Delta x) \\ \displaystyle\sf \: R_n = \frac{1}{2} \: \sum_{i=1}^6 f(2 + i \cdot \frac{1}{2} ) \\ \displaystyle\sf \: R_n = \frac{1}{2} \: \sum_{i=1}^6 f(2 + \frac{i}{2} ) \\ \displaystyle\sf \: R_n = \frac{1}{2} \: \sum_{i=1}^6 f( \frac{4 + i}{2} ) [/tex]
[tex]\displaystyle\sf \: R_n = \frac{1}{2} \bigg( f( \frac {5}{2}) + f( 3) +f( \frac {7}{2}) + f( 4) + f( \frac {9}{2}) + f( 5) \bigg) [/tex]
Substituting the corresponding values of x in given function 2x²-x-1
[tex]\displaystyle\sf \: R_n = \frac{1}{2} \bigg(2 \times { (\frac{5}{2} )}^{2} - \frac{5}{2} - 1 ....... +2 \times { ({5} )}^{2} - {5}- 1 \bigg) [/tex]
After solving each function,
[tex]\displaystyle\sf \: R_n = \frac{1}{2} \bigg(9 + 14 +20 + 27 + 35 + 44\bigg) \\ \displaystyle\sf \: R_n \: = \frac{149}{2} [/tex]
Similarly for left endpoint approximation,
[tex]\displaystyle\sf \: L_n = \Delta x \: \sum_{i=0}^{N - 1} f(a + i \Delta x)[/tex]
Where i = 0,1,2,3......
Substituting value of N, ∆x and a in above equation,
[tex]\displaystyle\sf \: L_n = \Delta x \: \sum_{i=0}^{N } f(a + i \Delta x) \\ \displaystyle\sf \: L_n = \frac{1}{2} \: \sum_{i=0}^{N } f(2 + i \frac{1}{2} ) \\\displaystyle\sf \: L_n = \frac{1}{2} \: \sum_{i=0}^6 f( \frac{4 + i}{2} ) [/tex]
[tex]\displaystyle\sf \: L_n = \frac{1}{2} \bigg(f( 2) + f( \frac {5}{2}) + f( 3) +f( \frac {7}{2}) + f( 4) + f( \frac {9}{2}) + \bigg) [/tex]
Substituting the corresponding values of x in given function 2x²-x-1
[tex]\displaystyle\sf \: L_n = \frac{1}{2} \bigg(5+ 9 + 14 +20 + 27 + 35 \bigg) \\ \displaystyle\sf \: L_n \: = \frac{110}{2} = 55 \\ [/tex]
Right approximation 149/2
Left approximation 55
Hence the Area is bounded in,
[tex] 55 < A < \frac{149}{2} [/tex]
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How is the Golden Ratio calculated from Fibonacci sequence? Please help me tyyy <3
Answers
Answer/Step-by-step explanation:
the fibonacci sequence is {1, 1, 2, 3, 5, 8, 13, 21, 34…} and in the visual for the Golden Ratio, if you look those are the those are the numbers that basically equals the golden ration, 1.618.
Give an example of a well-stated research question that involves estimating a characteristic about the population of part-time students at your college.
Improve the following research question so that it is a well stated research question. Research Question: Do students work a lot of hours?
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Answer:
1) what is the number of male part time students between the ages 15 - 19 years?
2) do students work more than 4 hours a day?
complete each statement based on the image below
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Step-by-step explanation:
1) Angles opposite congruent sides in a triangle are congruent, so angle H is congruent to angle D.
2) For the same reason as the first problem, angle D is congruent to angle NSD.
3) Since sides opposite congruent angles in a triangle are congruent, segment AH is congruent to segment AS.
4) For the same reason as the third question, segment SA is congruent to segment SN.
A group of students is writing a phone message app to provide better word suggestions based on the context of the word and the words the person used in the past. They will earn an A on the project if their teacher is convinced that their program suggests the correct word at least 54% of the time. The current success rate for this app is 54%. The teacher randomly selects 100 words and finds that the students’ program correctly suggests 64 of the words. To determine if this data provide convincing evidence that the proportion of correct words is more than 54%, 150 trials of a simulation are conducted. The results are shown in the dotplot. The teacher is testing the hypotheses: H0: p = 54% and Ha: p > 54%, where p = the true proportion of words the app will correctly predict. Based on the results of the simulation, what is the estimate of the P-value of the test?
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The agency concludes that the program increases the recycling rate, when in fact it does not. The program will be implemented at great cost without increasing the rate of water bottle recycling.
In 8- 11 find the area of each parrelogram or rhombus
Answers
The areas of the two parallelograms are 105 square inches and 20.997 square yards, respectively.
How to determine the area of a parallelogram
A parallelogram is a quadrilateral with two pairs of parallel sides with equal length and two pairs of angles of equal measure. The area of the parallelogram (A), in square yards or square inches, equals the product of its base length (b), in yards, and its height (h), in yards.
The area of each parallelogram is determined afterwards:
Exercise 10A = (10.5 in) · (10 in)
A = 105 in²
Exercise 11A = (9 yd) · (2.333 yd)
A = 20.997 yd²
The areas of the two parallelograms are 105 square inches and 20.997 square yards, respectively. [tex]\blacksquare[/tex]
To learn more on parallelograms, we kindly invite to check this verified question: https://brainly.com/question/1563728
Guys please help! i will mark brainliest to the right answers
Note: in order for me to mark a brainliest 2 people need to answer
Answers
Answer:
Step-by-step explanation:
c) To find slope, choose any two points.
(2,16) & (4 , 31)
[tex]\boxed{slope= \dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\sf =\dfrac{31-16}{4-2}\\\\=\dfrac{15}{2}=7.5[/tex]
The slope is 7.5, which means that Kobby's puppy gained 7.5 pounds a month for the first 6 months.
a) Equation of line in slope -intercept form: y = mx +b
[tex]y =\dfrac{15}{2}x+b[/tex]
Now, substitute the point (2 ,16) in the above equaiton and find the y-intercept b.
[tex]\sf 16 =\dfrac{15}{2}*2+b\\\\16=15+b\\\\16-15=b[/tex]
b = 1
Equation of the line:
[tex]y=\dfrac{15}{2}x+1[/tex]
b) y-intercept = 1
The y-intercept is 1, which means that Kobby'spuppy weighed 1 pound at birth
Help me please!!!!!!!!!!
Answers
Answer:
p(3,2)=====P'(-2,3)....
What is the range of f(x)?
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3+(-7)×2-10÷(-5)
please step by step0
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[tex]\left[3+(-7)\times 2\right] - \left[10 \div(-5)\right]\\\\=(3-14) +\left(10\times \dfrac 15\right)\\\\=-11+2\\\\=-9[/tex]
Help picture below problem 13
Answers
The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.
*look at the image I attached for a better explanation
By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation
[tex]?^2+5^2 = 13^2\\?^2 + 25 = 169\\?^2 = 144\\? = 12[/tex]
Thus the missing side length is 12 cm
Hope that helps!
NO LINKS!!
Part 2: Figure A is a dilated image of Figure B. Find the scale factor. #3 and 4
Answers
Answer:
Step-by-step explanation:
Take one side length
B=16unitsA=12unitsScale factor (A to B)
[tex]\\ \rm\rightarrowtail \dfrac{16}{12)=\dfrac{4}{3}[/tex]
Scale factor (B to A)=1/4/3=3/4
#4
B=4unitsA=8unitsScale factor (A to B)
4/8=1/2Scale factor (B to A)
2121.45 - 80.28 = ___
A.
39.97
B.
42.27
C.
41.13
D.
41.17
Answers
Answer:
D.
41.17 because it is possible answer to the question
This figure represents a compartment in a container for storing sewing supplies. Another compartment is identical except that it is 3 centimeters taller.
What is the difference in volume of the two compartments?
Enter your answer in the box.
cm³
Right trapezoidal prism. The height of the trapezoid base is labeled 7 cm. The larger base is labeled 15 cm and the shorter base is labeled 5 cm. The two legs of the trapezoid are labeled 10 cm. The height of the prism is labeled 8 cm.
cm³
help please
Answers
Answer:
140
explanation:
I took the test
Answer:
210 cm
Step-by-step explanation:
If the trapezoid in the picture is the one mentioned in the problem, then the answer is 210 cm. I did the test.
*Pls help me*
Yasmine is trying to find an outfit for the first day of school. She has to choose from 3 pairs of skirts: one black, one pink and one orange. She also has five blouses: one with flowers, one with polka-dots, one gray, one white and one with words saying I love New York! How many possible outfits can she choose from? *Hint-create a probability table.
Answers
Answer:
15 outfits
Step-by-step explanation:
Given
3 skirtsone blackone pinkone orange5 blousesone w/ flowersone w/ polka dotsone grayone whiteone w/ "I love New York!"Probability : No. of outfits
There are 3 elements in set A (skirts) and 5 elements in set B (blouses)Therefore possible outfits = A x B = 15 outfitsP.S. Sorry I couldn't create the probability table.
(9 x 7) + 7 - 8 = ?
EXPLAIN HOW!
I give you 10 pts
Answers
Answer:
[tex]\huge\boxed{\bf\:62}[/tex]
Step-by-step explanation:
[tex](9*7) + 7 - 8 = ?[/tex]
We can solve this by using the PEMDAS concept where,
P = Parentheses E = Exponents M = Multiplication D = Division A = Addition S = SubtractionSo, to solve this, we need to solve the numbers in the parentheses by doing the requested operation (here it is, mutiplucation).
[tex](9*7) + 7 - 8\\= (63) + 7 - 8[/tex]
Now, by looking at the PEMDAS rule, we can see that the next step is addition (as, we don't have to divide in this question).
[tex](63) + 7 - 8\\= 63 + 7 - 8\\= 70 - 8[/tex]
Now, subtract 8 from 70 .
[tex]70 - 8\\= \boxed{\bf\:62}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
(WILL MARK BRAINLIEST) Keisha is playing a game using a wheel divided into 8 equal sectors, as shown in the diagram below. Each time the spinner lands on blue, she will win a prize.
If Keisha spins this wheel twice, what is the probability that she will win a prize on both spins?
Answers
Answer:
6/11
Each time you spin the pointer there is a 3/8 for each of the two spins. That means there is a 6/11 chance of the pointer landing on blue for both times the pointer is spun.
Step-by-step explanation:
Each spin there are 8 possible sections the spinner can land on. The circle has 3 blue sections. The question asks what is the probability of the spinner landing on blue for BOTH spins. This means that you would have to show the denominator as 16. Each time you spin the pointer there is a 3/8 chance it will touch blue. When you spin it two times there is a 6/16 probability that the spinner will land on blue for each of the times the pointer is spun.
Have a great rest of your day
#TheWizzer
which fraction is the biggest?
[tex] \frac{2}{3} [/tex]
[tex] \frac{4}{5} [/tex]
[tex] \frac{7}{8} [/tex]
Answers
A fair die is rolled twice. Let X denote the sum of the values. What is E[X|A] where A is the event that the first roll was a 6.
Answers
We will see that the expected value for X given that the first number is a 6, is:
E[X|A] = 9.5
How to get the expected value?
We know that X represents the sum of both values. The first value is already 6, so we have that fixed:
X = 6 + p
Now, remember that all the numbers in the dice have the same probability of rolling up, then the expected value of p is:
E(p) = (1 + 2 + 3 + 4 + 5 + 6)*(1/6) = 3.5
Then the expected value of X, given the event A.
E[X|A] = 6 + p = 6 + 3.5 = 9.5
So the expected value for X is 9.5
If you want to learn more about expected values, you can read:
https://brainly.com/question/15858152
The second term of a geometric progression is -576 and the fifth term is 243. Find:
a) the common ratio
b) the first term
c) the sum to infinity.
Answers
The population of a city increased from 21,400 to 27,700 between 2007 and 2016. Find the change
of population per year if we assume the change was constant from 2007 and 2016.
Answers
Answer:
700
Step-by-step explanation:
2016 - 2007 = 9
27,700 - 21,400 = 6300
6300 / 9 = 700.
Multiply 6−√5 by its conjugate and simplify
Answers
[tex]6 - \sqrt{5} \times \frac{6 + \sqrt{5} }{6 + \sqrt{5} } [/tex]
[tex] \frac{(6 - \sqrt[]{5})(6 + \sqrt{5} ) }{6 + \sqrt{5} } = \frac{36 - 5}{6 + \sqrt{5} } = \frac{31}{6 + \sqrt{5} } [/tex]