Answers
we know that
If △JKL≅△QRS
then
the corresponding angles are congruent
so
m∠Q=m∠J
m∠R=m∠K
m∠S=m∠L
we have
m∠J=[tex]37\°[/tex]
therefore
the answer is
m∠Q=[tex]37\°[/tex]
Answer:
m∠Q = 37°
Step-by-step explanation:
It has been given that ΔJKL ≅ ΔQRS
∠J = 37° and ∠K = 105°
Since these triangles are congruent so we will apply the condition of ASA (theorem of congruence)
In ΔJKL and ΔQRS sides JK and QR along with their corresponding angles will be equal.
Side JK = side QR
and ∠K = ∠R = 105°
∠J = ∠Q = 37°
Therefore m∠Q = 37° will be the answer.
Related Questions
Bill ate 1/4 pound of trail mix on his first break during a hiking trip. On his second break, he ate 1/6 pound. How many pounds of trail mix did he eat during both breaks? Explain.
Answers
1/4+1/6
LCM of 4 and 6 = 12
3/12 + 2/12
Add the numerators:
5/12
So, he ate 5/12 of a pound of bars in both breaks.
Hope this helps!
hard question ! Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her own expenses. After a month of driving from neighborhood to neighborhood and walking door-to-door, she figures out that her weekly earnings are approximately a linear function of the number of doors she knocks on. She writes the equation of the function like this: E(x) = 20x - 50, where x is the number of doors she knocks on during the week and E(x) is her earnings for the week in dollars. Which of the following are reasonable interpretations of the y-intercept of Jessica's function? Check all that apply.
A. Her expenses are $50 per week.
B. She can earn $20 per week even if she does not knock on any doors.
C. If she does not knock on any doors at all during the week, she will lose $50.
D. She will lose $20 per week if she does not knock on any doors.
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Answer:
A and C
Step-by-step explanation:
Just answered on apex
Round $0.6848 to the nearest cent.
Answers
You make a large bowl of salad to share with your friends. Your brother eats 1/3 of it before they come over
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Now, your brother ate 1/3 of the original amount.
This means that:
The amount left to be divided among your friends = m - (1/3) m = (2/3) m
Now, we need to divide this amount among the six friends of yours, therefore:
the amount that each friend gets can be calculated by dividing the (2/3) m which is the left portion of the salad by the number of friends as follows:
each friend receives = [(2/3) m] / 6 = (1/9) m
Which algebraic expression is a polynomial with a degree of 2?
a)4x3 − 2x
b10x2 −
c)8x3+ + 3
d)6x2 − 6x + 5
Answers
the one u have marked is not a polynomial because it has a variable in the square root...a polynomial cannot have that
Answer:
D) 6x² − 6x + 5 has degree 2.
Step-by-step explanation:
Given : Polynomial .
To find : Which algebraic expression is a polynomial with a degree of 2.
Solution: We have given polynomial
Degree : The highest power of the polynomial is called degree.
We can see from the given polynomials two polynomial have 2 power
first is [tex]10x^{2} -\sqrt{x}[/tex].
Second is 6x² − 6x + 5.
But the first term have root so, it is not a polynomial.
So 6x² − 6x + 5 has degree 2
Therefore, D) 6x² − 6x + 5 has degree 2.
How long is the minute hand on a clock whose tip travels 15 cm from 1:15 to 1:30 to the nearest tenth?
Answers
Answer:
The length of minute hand is 9.5 cm
Step-by-step explanation:
We are given the minute hand move from 1:15 to 1:30
Time for 1:30 to 1:30 = 15 minutes
Tip of minute hand move 15 cm in 15 minutes.
In 60 minutes = 360°
In 1 minute = 6°
In 15 minutes = 90°
Formula: [tex]\theta=\dfrac{L}{r}[/tex]
[tex]\theta=90^\circ[/tex]
Now we change [tex]\theta=90^\circ[/tex] into radian
[tex]Radian=\dfrac{\pi}{180^\circ}\times 90^\circ=\dfrac{\pi}{2}[/tex]
L=15 cm
R = Length of minute hand.
[tex]\dfrac{\pi}{2}=\dfrac{15}{R}[/tex]
[tex]R=\dfrac{30}{\pi}\approx 9.5[/tex]
Hence, The length of minute hand is 9.5 cm
A quadrilateral whose opposite sides are parallel and congruent and whose opposite angles are congruent is a ____. a. trapezoid c. kite b. heptagon d. parallelogram.
PLZ ANSWER ASAP!!
Answers
Sarah is 50 years old. she is twice as old as her friend bill and bill is 5 times as old as his sister jane. jane's mom is 12 times older than jane. what is the age difference between jane's mom and sarah?
Answers
Sarah is twice as old as Bill so 2X=50 and X=25 so Bill is 25. Bill is 25 and bill is 5 times older than his sister Jane so 5n=25 N=5 so Jane is 5 years old. Jane's mom is 12 time older than Jane so 12x5=60 and so
60-50=10 so the answer is 10
JIMMMM! :)
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2^x and y = 4^x−2 intersect are the solutions of the equation 2^x = 4^x−2. (4 points)
Part B: Make tables to find the solution to 2^x = 4^x−2. Take the integer values of x between −4 and 4. (4 points)
Part C: How can you solve the equation 2^x = 4^x−2 graphically? (2 points)
Answers
The x coordinates are the inputs of the functions f(x) = 2^x and g(x) = 4^(x-2)
If we have some input x that leads to f(x) = g(x), then this x value is a solution. It makes the equation f(x) = g(x) true. This is why the x coordinate of the intersection point of y = 2^x and y = 4^(x-2) is the solution.
-------------------------------------------------------------------------
Part B
See attached for the table. See figure 1.
This is how you get the results you see in the table
Plug x = -4 into f(x) to get:
f(x) = 2^x
f(-4) = 2^(-4)
f(-4) = 0.0625
Do the same for g(x):
g(x) = 4^(x-2)
g(-4) = 4^(-4-2)
g(-4) = 4^(-6)
g(-4) = 0.000244140625
-------------------
Plug x = -3 into f(x) to get:
f(x) = 2^x
f(-3) = 2^(-3)
f(-3) = 0.125
Do the same for g(x):
g(x) = 4^(x-2)
g(-3) = 4^(-3-2)
g(-3) = 4^(-5)
g(-3) = 0.0009765625
-------------------
Plug x = -2 into f(x) to get:
f(x) = 2^x
f(-2) = 2^(-2)
f(-2) = 0.25
Do the same for g(x):
g(x) = 4^(x-2)
g(-2) = 4^(-2-2)
g(-2) = 4^(-4)
g(-2) = 0.00390625
-------------------
Plug x = -1 into f(x) to get:
f(x) = 2^x
f(-1) = 2^(-1)
f(-1) = 0.5
Do the same for g(x):
g(x) = 4^(x-2)
g(-1) = 4^(-1-2)
g(-1) = 4^(-3)
g(-1) = 0.015625
-------------------
Plug x = 0 into f(x) to get:
f(x) = 2^x
f(0) = 2^(0)
f(0) = 1
Do the same for g(x):
g(x) = 4^(x-2)
g(0) = 4^(0-2)
g(0) = 4^(-2)
g(0) = 0.0625
-------------------
Plug x = 1 into f(x) to get:
f(x) = 2^x
f(1) = 2^(1)
f(1) = 2
Do the same for g(x):
g(x) = 4^(x-2)
g(1) = 4^(1-2)
g(1) = 4^(-1)
g(1) = 0.25
-------------------
Plug x = 2 into f(x) to get:
f(x) = 2^x
f(2) = 2^(2)
f(2) = 4
Do the same for g(x):
g(x) = 4^(x-2)
g(2) = 4^(2-2)
g(2) = 4^(0)
g(2) = 1
-------------------
Plug x = 3 into f(x) to get:
f(x) = 2^x
f(3) = 2^(3)
f(3) = 8
Do the same for g(x):
g(x) = 4^(x-2)
g(3) = 4^(3-2)
g(3) = 4^(1)
g(3) = 4
-------------------
Plug x = 4 into f(x) to get:
f(x) = 2^x
f(4) = 2^(4)
f(4) = 16
Do the same for g(x):
g(x) = 4^(x-2)
g(4) = 4^(4-2)
g(4) = 4^(2)
g(4) = 16
Note that since the input x = 4 leads to the same output (16) this makes x = 4 a solution.
-------------------------------------------------------------------------
Part C
To solve graphically, you need to use the table in part B to draw a curve through the set of points. Then determine where the curves cross (if they cross at all). You may need to adjust the graph window if the intersection point is off the screen.
See figure 2 for the graph (attached as well). Point A in green is the intersection point.
A = (4,16)
so x = 4 is the solution to f(x) = g(x).
Part A: The point or points of intersection are the values of the variables which satisfy both equations at a particular point.
If [tex]y=2^x and y=4 ^{x-2} [/tex] and the solution of which will satisfy both equations. This idea of equating the two equations is something that you would have come across before, maybe without realizing it.
Consider this:
[tex]x^2 + 6x + 9=0 This can also be looked at as being the two equations: y=x^2 +6x+9 and y=0 [/tex]
So the points of intersection are the roots in this case and satisfy the equation:
[tex]x^2 + 6x +9=0 This explains why it will be the solution to: 2^x = 4 ^{x-2} , because this is the equation formed at the intersection.[/tex]
Part B:
You just put integer values between -4 and 4 in each equation and when the output is the same for both that is the solution.
[tex]2^ ^{-4} = 0.0625 , [/tex] and [tex]4 ^{-6} = 0.000244[/tex]
[tex]2 ^{-3} = 0.125, [/tex] [tex]4 ^{-5} =0.000977[/tex]
[tex]2 ^{-2} =0.25[/tex] and [tex]4 ^{-4} =0.003906[/tex]
[tex]2 ^{-1}= -0.5,[/tex] and [tex]4 ^{-3} =0.01563[/tex]
[tex]2^0 =1[/tex] , and [tex]4 ^{-2} =0.0625[/tex]
[tex]2^1 = 2 [/tex] and [tex]4 ^{-1} =0.25[/tex]
[tex]2^2 =4 [/tex] and [tex]4^0 =1[/tex]
[tex]2^3 =8[/tex] and [tex]4^1=4[/tex]
[tex]2^4 =16, [/tex] and [tex]4^2 = 16 [/tex] (This is the solution when x=4)
Part C:
To solve graphically you just plot the two equations [tex]=2^x[/tex] and [tex]y=4 ^{x-2} [/tex]
Together graph of [tex]y=2^x [/tex] and [tex]y=4 ^{x-2} [/tex]
The picture below is how the graph looks like.
Full Credit to my online calculator 'cause we don't have a graphing calculator here.
I hope I helped!
Which type of triangle has one angle with a measurement greater than 90°? A. Obtuse B. Acute C. Isosceles D. Right
Answers
Help me with the first one please
Answers
plug in a number for x and you'll see
The new shanghai restaurant offers a choice of five appetizers, two choices of soups, and eleven choices of entrees for its lunch special. how many different complete lunches can be ordered from the restaurant's lunch special menu?
Answers
5*2*11 = 110
Final answer:
Using the Multiplication Principle, a customer can choose from 110 different complete lunch combinations by selecting one of each option (appetizer, soup, and entrée) from the menu at the New Shanghai restaurant.
Explanation:
To determine the total number of different complete lunches that can be ordered from the restaurant's lunch special menu, we apply The Multiplication Principle of counting. The principle states that if one event can occur in m ways and another independent event can occur in n ways, then the total number of ways both events can occur together is the product of m and n. In the context of ordering a lunch, each choice (appetizer, soup, and entrée) represents an independent event.
For appetizers, there are 5 choices.
For soups, there are 2 choices.
For entrées, there are 11 choices.
Following the Multiplication Principle, the total number of different complete lunches is calculated as follows:
5 appetizers × 2 soups × 11 entrées = 110 different complete lunches.
Therefore, customers have the opportunity to choose from 110 unique complete lunch combinations at the New Shanghai restaurant.
Can somebody please help me?
Answers
If you randomly choose a letter in the word "mathematics", find the probability that you choose an "a".
Answers
(number of desired outcomes)/(total number of outcomes)
Here, the total number of ways you can pick a single letter from the word "mathematics" is 11 (m, a, t, h, e, m, a, t, i, c, s), and the number of a's available to choose from is 2, therefore you have a 2/11 chance of choosing an "a" at random from the word "mathematics."
what type of triangle has two angles at 70 degrees and one at 40 degrees
Answers
By TWL
ABCD is a rectangle. The length of BD is 8 units and m
What is the length of AC and m
Answers
Help me please don’t know how to do this and I have psat in a week.
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x = 3/2
x = -5
Since 3/2 = 1.5 is larger than -5, this means r = 3/2 = 1.5 and s = -5
Subtract r and s:
r - s = (3/2) - (-5)
r - s = (3/2) + (5)
r - s = (3/2) + (5/1)
r - s = (3/2) + (10/2)
r - s = (3+10)/2
r - s = 13/2
Therefore the final answer is B) 13/2
Mitch refuses to dine at a certain restaurant because he recalls reading two or three negative reviews of its service on a popular website. Mitch is falling prey to:
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In this situation, we can actually see that Mitch was simply basing her taste on the information that is readily available to her. She does not even consider whether those reviews are legit or reliable. Mitch is falling into what we call as:
“the availability heuristic”
Mitch is falling prey to the bandwagon effect, where he avoids dining at a restaurant based on a few negative reviews he read online. The bandwagon effect is a cognitive bias that leads us to adopt beliefs or behaviors because we think everyone else is doing the same.
Explanation:Mitch is falling prey to the bandwagon effect. The bandwagon effect is when someone adopts a certain belief or behavior because they believe that everyone else is doing it too. In this case, Mitch refuses to dine at a certain restaurant because of negative reviews he read on a popular website, assuming that those reviews reflect the majority opinion.
The bandwagon effect is a cognitive bias that can influence our decision-making process. It is important to be aware of this bias and make decisions based on objective information rather than simply following the crowd.
Learn more about Bandwagon Effect here:https://brainly.com/question/34612602
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For items 14 and 15 use the following functions
f(x)=5x+1
g(x)=3x-4
14. Evaluate f(2), g(2), (f o g) (2), and (g o f)(2).
15. Write the composite functions h(x)=g(f (x)) and k(x)=f(g(x)).
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Find the parabola whose minimum is at (−12,−2)(−12,−2) rather than the point given in the book. the parabola's equation is y=x2+ax+by=x2+ax+b, where
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[tex]y-k=a(x-h)^2[/tex]
where (h, k) is the vertex of the parabola.
Given that the vertex of the parabola is (-12, -2), the equation of the parabola is given by
[tex]y-(-2)=a(x-(-12))^2 \\ \\ y+2=a(x+12)^2=a(x^2+24x+144)=ax^2+24ax+144a \\ \\ y=ax^2+24ax+114a-2 \\ \\ y=x^2+24x+ \frac{114a-2}{a} [/tex]
For a = 1,
[tex]y=x^2+24x+112[/tex]
The parabola whose minimum is at (−12,−2) is given by the equation [tex]y=x^2+ax+b[/tex], where a = 24 and b = 112.
Multiplication property: if angle j equals 30 then 2m angle j equals
Answers
A cylinder has a height of 6 meters and a diameter that is 6 times the measure of the height
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HELLLLLPPP PLLEASEEE
Answers
The answer is B
A rectangular park, with dimensions of 1500ft x 2000ft has a diagonal walking path that goes from corner to corner. How long is the walking path?
Answers
Which transformations will produce similar, but not congruent, figures?
Triangle PQR is reflected across the x-axis and then rotated 90° clockwise to form triangle P"Q"R" .
Triangle PQR is reflected across the y-axis and then dilated by a scale factor of 6 to form triangle P"Q"R" .
Triangle PQR is rotated 180° counterclockwise and then translated 11 units left to form triangle P"Q"R" .
Triangle PQR is rotated 90° clockwise and then reflected across the y-axis to form triangle P"Q"R" .
Answers
Nick’s house is 4.28 miles from school. if nick’s average stride length is 3.1 feet, how many strides will it take him to walk to school?
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PLEASE HELP!
Solve for t: A=P (1+rt)
Answers
A = P + Prt
A - P = Prt
(A - P)/Pr = t
Step 1) A = P*(1+rt)
Step 2) A = P*(1)+P*(rt)
Step 3) A = P+P*(rt)
Step 4) A-P = P+P*(rt)-P
Step 5) A-P = P*(rt)
Step 6) A-P = t*(Pr)
Step 7) (A-P)/(Pr) = (t*(Pr))/(Pr)
Step 8) (A-P)/(Pr) = t
Step 9) t = (A-P)/(Pr)
----------------------------------------------
and here are the explanations for each step
Step 1) Nothing to do here. This is the original equation
Step 2) Distribute the outer P term into each inner term (1 and rt)
Step 3) Multiply P and 1 to get P*(1) = P
Step 4) Subtract P from both sides
Step 5) Simplify. Note how the P-P on the right side becomes 0P = 0 which goes away on the right side
Step 6) Rearrange the terms on the right side to go from P*(rt) to t*(Pr).
Step 7) Divide both sides by Pr.
Step 8) Simplify. The Pr term on the right side divides with itself to get 1. Because 1 times anything is itself, we effectively have Pr cancel out and go away.
Step 9) Flip the equation so that the t is on the left side
----------------------------------------------
The answer is t = (A-P)/(Pr) which can be written as [tex]t = \frac{A-P}{Pr}[/tex]
The parenthesis in the equation t = (A-P)/(Pr) are important because we are specifying that we are dividing all of "A-P" all over all of "Pr"
find four consecutive even integers such that 2 times the sum of the first and second is 14 more than 3 times the fourth.
Answers
2 (x + x+ 2) = 3(x + 6) + 14
4x + 4 = 3x + 18 + 14
x = 18 + 14 - 4 = 28
the four integers are 28,30,32 and 34.
The required four consecutive even integers are given as 28, 30, 32, and 34.
Given that,
Four consecutive even integers such that 2 times the sum of the first and second is 14 more than 3 times the fourth.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Let, the first term be a, and the common difference be d,
And series 2n, 2n + 2, 2n +4, 2n + 6
According to the question,
2[2n + 2n + 2] = 14 + 3[2n + 6]
8n + 4 = 14 + 6n + 18
2n = 28
n = 14
Series can be given as,
28, 30, 32, 34
Thus, the required four consecutive even integers are given as 28, 30, 32, and 34.
Learn more about arithmetic here:
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Please help me! And can you explain how you got that answer please?
Answers
8 = 2^(3)
so
(8)^(-1) = (2^3)^(-1) = 2^(3*-1) = 2^(-3)
1. What is the product of -2.5 and 8.77 ?
2. Alexander purchased a computer on sale. The original price was $1,200. The sale price was 5/6 of the original price. How much did Alexander pay for the computer?
3. Mara finished 1/5 of her assignment on Saturday and 3/8 of her assignment on Sunday. What Fraction of her assignment did she complete on Saturday and Sunday?
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2. 5/6 of 1,200 is 1000. 1,200÷6=200 200•5=1000.
3. 1/5+3/8. Find like denominators. (40) 8/40+15/40=23/40 or as a decimal, 0.575.
Hoped I helped!
2. $200
3. 23/40