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
bulgar [2K]
3 years ago
14

In the kite , AK=9 , JK=15 , and AM=16 .

Mathematics
1 answer:
Veronika [31]3 years ago
4 0

Answer:

The Length of JM is 20.

Step-by-step explanation:

Given,

JKLM is a kite in which JL and KM are the diagonals that intersect at point A.

Length of AK = 9    

Length of JK = 15  

Length of AM = 16

Solution,

Since JKLM is a kite. And JL and KM are the diagonals.

And we know that the diagonals of a kite perpendicularly bisects each other.

So, JL ⊥ KM.

Therefore ΔJAK is aright angled triangle.

Now according to Pythagoras Theorem which states that;

"The square of the hypotenuse is equal to the sum of the square of base and square of perpendicular".

JK^2=KA^2+AJ^2

On putting the values, we get;

(15)^2=9^2+AJ^2\\\\225=81+AJ^2\\\\AJ^2=225-81=144

On taking square root onboth side, we get;

\sqrt{AJ^2} =\sqrt{144}\\\\AJ=12

Again By Pythagoras Theorem,

AJ^2+AM^2=JM^2

On putting the values, we get;

JM^2=(12)^2+(16)^2\\\\JM^2=144+256=400

On taking square root onboth side, we get;

\sqrt {JM^2}=\sqrt{400}\\\\JM=20

Hence The Length of JM is 20.

You might be interested in
A bank in the Bay area is considering a training program for its staff. The probability that a new training program will increas
WITCHER [35]

Answer:

P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68

See explanation below.

Step-by-step explanation:

For this case we define first some notation:

A= A new training program will increase customer satisfaction ratings

B= The training program can be kept within the original budget allocation

And for these two events we have defined the following probabilities

P(A) = 0.8, P(B) = 0.2

We are assuming that the two events are independent so then we have the following propert:

P(A \cap B ) = P(A) * P(B)

And we want to find the probability that the cost of the training program is not kept within budget or the training program will not increase the customer ratings so then if we use symbols we want to find:

P(B' \cup A')

And using the De Morgan laws we know that:

(A \cap B)' = A' \cup B'

So then we can write the probability like this:

P(B' \cup A') = P((A \cap B)')

And using the complement rule we can do this:

P(B' \cup A') = P((A \cap B)')= 1-P(A \cap B)

Since A and B are independent we have:

P(A \cap B )=P(A)*P(B) =(0.8*0.4) =0.32

And then our final answer would be:

P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68

5 0
3 years ago
The density of oxygen is 0.001429 grams per cubic centimeter. How is this number written in scientific notation?
miskamm [114]

Answer:

How is this number written in scientific notation? A. 1.429 x 10.

3 0
2 years ago
Find the equation for the line that passes through the points (1, 1) And (3, 5)
julia-pushkina [17]

Answer:

y = 2x - 1

Step-by-step explanation:

Slope = (5-1) / (3-1) = 4/2 = 2

y-intercept = 1 - (2)(1) = - 1

y = 2x - 1

7 0
2 years ago
Find the distance between the points (10, 12) and (10, -8).<br> units
RUDIKE [14]

pt1= (10,12)

pt2= (10,-8)

_________________

distance = √ (x1 - x2)² + (y2 - y1)²

_________________

=√ (0)² + (-20)²

______

=√400

=20 units

3 0
3 years ago
Read 2 more answers
Salinas car use 15.6 gallons of gas to go 234 miles at this rate how many gallons will it take her to go 480 miles?
Whitepunk [10]

Salinas will use 32 gallons for 480 miles

<h3>How to calculate the number of gallons required ? </h3>

Salinas used 15.6 gallons of gas for 234 miles

Miles can be described as the distance travelled by an object or an individual

The first step is to calculate the number of miles travelled using 1 gallon

15.6= 234

1= x

cross multiply both sides

15.6x= 234

x= 234/15.6

x= 15

1 gallon will take her 15 miles

Therefore, the number of gallons required for 480 miles can be calculated as follows

1= 15

x= 480

cross multiply both sides

15x= 480

x= 480/15

x= 32

Hence Salinas will require 32 gallons for 480 miles of the journey

Read more on miles here

brainly.com/question/11239018?

#SPJ1

5 0
1 year ago
Other questions:
  • Find x - y subtracted from 0
    14·2 answers
  • A season ticket to the olde theater costs $76 and admits you to 6 plays. single tickets to each play cost $15. how much do you s
    6·1 answer
  • AC=4, AE=7, AD=10, what is the length of AB? <br> A: 1 3/7 <br> B: 2 1/2<br> C: 5 5/7<br> D: 17 1/2
    9·1 answer
  • Ling must spend no more than $40.00 on decorations for a party. She has spent $10.00 on streamers and wants to buy bags of ballo
    6·1 answer
  • Given that €1 = £0.72<br> A) How much is €410 in £?<br><br> B) What is the £ to € exchange rate?
    7·1 answer
  • Find f. (Use C for the constant of the first antiderivative, D for the constant of the second antiderivative and E for the const
    15·2 answers
  • PLEASE HURRY AND ANSWER!!!!
    6·1 answer
  • Complete the statement: In a glide reflection, the direction of the ______ must be parallel to the line of reflection.
    9·1 answer
  • What is the equation of the line?
    5·1 answer
  • Round 0.293263 to the ten thousandths place
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!