answer.
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
Alina [70]
1 year ago
10

In JKL, mJ = 90, mK = 30, and mL = 60. Which of the following statements about JKL are true?

Mathematics
2 answers:
kumpel [21]1 year ago
8 0

The <em><u>correct answers</u></em> are:

KL = 2*JL; JK = (√3)JL; and JK = ((√3)/2)KL

Explanation:

This is a 30-60-90 right triangle.  This type of triangle has a special relationship among the sides.  Let the smallest side, across from the 30° angle, be t.  This means JL = t.

The hypotenuse of the triangle is two times the length of the smallest side; this means that KL = 2t, which means that KL = 2*JL.

The side of the triangle opposite the 60° angle will be the "medium sized" side; it is equal to √3 times the smallest side, or √3t; this gives us that JK = √3t = (√3)JL.

Comparing JK to KL, we have

\frac{t\sqrt{3}}{2t}

The t on top and bottom cancel out, leaving us with the ratio (√3)/2.  This means that JK = ((√3)/2)KL.

Llana [10]1 year ago
3 0
Jk=sqr3(JL)
KL-2(JL)
JK=(sqr3/2)KL
You might be interested in
Which statements are true about the reflectional symmetry of a regular heptagon? Check all that apply. It has only 1 line of ref
Sav [38]

The answer is:

1- A line of symmetry will connect a vertex and a midpoint of an opposite side.

2- It has 7-fold symmetry.

The explanation for this answer is shown below:

1- By definition, a line of symmetry is an imaginary line that divides a figure into two equal images or equal halves. If you connect a vertex and a midpoint of an opposite side of an heptagon by drawing a line, you will obtain two equal halves.

2- An heptagon has seven vertices, therefore, based on the information mentioned above, it has 7-fold symmetry.

8 0
1 year ago
Read 2 more answers
What is the standard deviation of the market portfolio if the standard deviation of a fully diversified portfolio with a beta of
Nina [5.8K]

Answer:

22.5%

Step-by-step explanation:

let the standard deviation for market portfolio = σₙ

Also let the standard deviation for fully diversified portfolio = σₓ

<u>To calculate fully diversified portfolio</u>

fully diversified portfolio has <em>σₓ = βσₙ</em>

From the given question beta (β) = 1.25

Also standard deviation for market portfolio (σₙ)  = 18% = 0.18

<em>From the equation above,  σₓ = βσₙ </em>= 1.25×0.18 = 0.225

                                                             = 22.5% (converting to percentage)

<em></em>

3 0
1 year ago
I need to increase my sales by 35% in order to meet my goal for the month. you have 45 Sales and need?
Anastasy [175]
45 + 0.35(45)
We can make it simpler:
1.35(45)
60.75
We can round up to 61
He needs about 16 more sales
5 0
1 year ago
Read 2 more answers
The total height of the Statue of Liberty and its pedestal is 153 feet more than the height of the statue. Write and solve an eq
horsena [70]

Answer:

The height of the statue is 152 feet

Step-by-step explanation:

<u><em>The complete question is :</em></u>

The total height of the Statue of Liberty and its pedestal is 305 feet. This is 153 more than the height of the statue. Write and solve an equation to find the height h (in feet) of the statue.

Let

h ----> the height of the statue in feet

p ---> the height of the pedestal in feet

we know that

h+p=305 ----> equation A

h+153=h+p ---> equation B

so

substitute equation A in equation B and solve for h

h+153=305

subtract 153 both sides

h=305-153

h=152\ ft

7 0
1 year ago
If postage costs $.54 for the first ounce and $.22 for each additional ounce, calculate the cost of mailing a 10-ounce envelope.
timofeeve [1]
First = $ 54 Another postage = $ 22 So the cost is = ($ 54 x 1) + ($ 22 x 9) Cost = $ 54 + $ 198 = $ 252 #brainly.co.id/profil/FadhilPrawira-230178
4 0
1 year ago
Read 2 more answers
Other questions:
  • Yolanda is making a banner for a school pep rally. She cuts fabric in the shape of a parallelogram. The angle at the bottom left
    9·2 answers
  • Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solut
    8·2 answers
  • Mark is treating his family to ice cream. He buys 4 sundaes and 3 cones for a total of $26. Brian also buys ice cream for his fa
    6·2 answers
  • Tessa had $90 in her checking account. She paid her cable/internet bill for $60. She deposited $50 from her part-time job before
    13·2 answers
  • The final score of a figure skating competition is determined by finding the average of six judges' scores. Write a formula for
    5·2 answers
  • Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance fro the same section of the race is disp
    14·2 answers
  • Solve the system of linear equations using multiplication.
    6·2 answers
  • Stephanie has $45,000. Part or all of which she wants to invest into a combination of municipal bonds and corporate bonds. She w
    11·1 answer
  • The probability that Stu buys a sandwich is 0.5.
    7·1 answer
  • Luke receives an electric bill of \$84.21$84.21dollar sign, 84, point, 21 for the month of April. The electric company charges \
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!