1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
max2010maxim [7]
3 years ago
12

The vertices of triangle rst are r(–1,–2), s(2,–1), and t(4,2). If δjkl ∼ δrst and the length of kl is units , what is the lengt

h of jk?
Mathematics
2 answers:
NemiM [27]3 years ago
7 0

Answer:

3.16 units

Step-by-step explanation:

It has been given that the triangles JKL and the triangle RST are congruent.

That implies that, the length of the side JK, KL, and JL is equivalent to the length of the sides RS, ST, and RT respectively.

Now, to find the length of JK we need to find the length of the side RS. The coordinates of the points R and S are (-1,-2) and (2,-1).

The length of the side RS is equal to the distance between point R and S.

RS =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

= \sqrt{(2-(-1))^2+(-1-(-(-2))^2}

=\sqrt{3^2+(-1+2)^2}

=\sqrt{9+1}=\sqrt{10}=3.16

Now that we have the length of the side RS, and the triangles JKL and RST are congruent therefore, the length of the side JK is 3.16 units.

chubhunter [2.5K]3 years ago
3 0

Answer:

sq root of 10 over 2

Step-by-step explanation:

took it on edge

You might be interested in
Which set of ordered pairs represents a function?
Paladinen [302]
3 because the numbers for x are all different
5 0
3 years ago
12 divided into a number is wat
Irina-Kira [14]

Answer:

x

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Answer plz helpppp me!!!!!!
balandron [24]
Vertical angles theorem
8 0
3 years ago
Let f(x)=241+3e−1.3x . What is the point of maximum growth rate for the logistic function f(x) ? Round your answer to the neares
FromTheMoon [43]

Answer:

The point of maximum growth is at x=0.82

Step-by-step explanation:

Given a logistic function

f(x)=\frac{24}{1+e^{-1.3x}}

we have to find the point of maximum growth rate for the logistic function f(x).

From the graph we can see that the carrying capacity or the maximum value of logistic function f(x) is 24 and the point of maximum growth is at y=\frac{24}{2} i.e between 0 to 12

So, we can take y=\frac{24}{2} and then solve for x.

\frac{24}{2}=\frac{24}{1+e^{-1.3x}}

⇒ 2=1+3\exp{-1.3x}

⇒ 1=3.\exp{-1.3x} ⇒ \frac{1}{3}=\exp{-1.3x}

                             ⇒ log 3=-1.3x

                             ⇒ -0.4771=-1.3.x ⇒ x=0.82

Hence, the point of maximum growth is at x=0.82


5 0
3 years ago
On a cross-country vacation, Maria filled her 14-gallon gas tank eleven times. Which is the best estimate of how many gallons of
kobusy [5.1K]
14*11=154
Rounded would be 150

150 gallons
8 0
3 years ago
Read 2 more answers
Other questions:
  • This year, Slytherin got 5% less House points than the winner Gryffindor. What is the minimum number of House points Slytherin n
    5·1 answer
  • I need to factor 5a^2 + 7a + 6b^2 - 4b  but I can't figure it out.......could it possibly be prime?
    15·1 answer
  • the newspaper reported that 134.8 million viewers watched the Super Bowl. Write the number of viewers in standard form
    9·1 answer
  • What is the slope of the line parallel to y= 5x+2.<br><br> A. -1/5<br> B. -5<br> C. 5<br> D. 1/5
    8·1 answer
  • Which of these is a point-slope equation of the line that is perpendicular to y-3=4(x-10) and passes through (-3,7)?
    14·1 answer
  • 2 Points
    9·2 answers
  • Please ANswer ASAP &amp; show all work. If you put an incomplete or absurd answer I WILL report you.
    11·1 answer
  • Hey! can you please do these 5 questions correctly? Thanks and i need answers ASAP :)) (will give 20 points and brainliest)
    9·1 answer
  • NOME:..............................................................................
    6·1 answer
  • A carnival booth has a participant pick one of five boxes to reveal a the prize inside. One box contains $100 and the other box
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!