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
Flauer [41]
4 years ago
5

Please I really need this fast Find the values of a and b in the kite below.

Mathematics
1 answer:
Marina CMI [18]4 years ago
5 0

Answer:

a=5, b=15

Step-by-step explanation:

we know that

The figure MNLO is a Kite

so

LO=NO  and MN=LM

we have

LO=7a-14, NO=b+6

7a-14=b+6 -----> equation A

MN=b, LM=3a

b=3a -----> equation B

Solve the system of equations by substitution

Substitute equation B in equation A and solve for a

7a-14=(3a)+6

7a-3a=6+14

4a=20

a=5

Find the value of b

b=3a ----> b=3(5)=15

therefore

a=5, b=15

You might be interested in
What is the sum of the arithmetic series 5<br> E(3n-2)<br> N-1
vitfil [10]

Answer:

35

Step-by-step explanation:

4 0
3 years ago
In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= root 2 cm.
Nata [24]

Given CD is an altitude such that AD=BC , AB=3 cm and CD= √2 cm.

Let AD=x, Since given AB=3

                                     AD+DB=3

                                       x+DB = 3

                                        DB = 3-x

Since ΔBCD is rght angle triangle, let's apply Pythagoras theorem

BC^{2} = DB^{2} +CD^{2}

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

BC^{2} =(3-x)^{2} +2

Since given AD=BC,let us plugin BC=x in above step.

x^{2} =(3-x)^{2} +2

x^{2} =9-6x+x^{2} +2

6x=11

x=\frac{11}{6}

Now we know AD=x=\frac{11}{6} and given CD=√2.

Let us apply Pythagoras theorem for ΔACD

AC^{2} =AD^{2} +DC^{2}

AC^{2} = (\frac{11}{6} )^{2} +(\sqrt{2} )^{2}

AC^{2} =\frac{193}{36}

AC=\sqrt{\frac{193}{36} } = 2.315cm

3 0
3 years ago
Micheal signed a 5-year contract for a new job. His starting salary is $67K per year, and the salary increases 3% each year if a
Tcecarenko [31]

Answer: 77050

Step-by-step explanation: each year +3% meaning in 5 years should be 15% already. 15/100 times x/67000. use butterfly method.

4 0
3 years ago
13<br> Find the scale factor
Radda [10]
12/x = 15/8

96 = 15x

x= 6.4 or 32/5
3 0
3 years ago
Read 2 more answers
Does anyone know how to do this?
aksik [14]

Answer:

So basically the answer is where the lines intersect if they do not intersect there is no solution if they are on top of one another it is infinite solutions

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Simplify 60 - 2 + 6(4).
    6·2 answers
  • In a class of 32, there are 14 students who are Latino.
    9·1 answer
  • How many meters in a foot
    9·2 answers
  • Ill mark you as brainliest !
    7·2 answers
  • Please please pleeeesse hurry if you see this and it’s right I with give brainliest
    15·2 answers
  • HELPPP HOW MANU SURFACE AREAS DOES THIS HAVE DONT SEND A FILE!!
    5·2 answers
  • Which adjustment would turn the equation y = -3x^2+4 into a linear function?
    5·2 answers
  • 1 2/5 as an improper fraction
    14·1 answer
  • Anybody know this one?​
    6·1 answer
  • Today mr. Jackson and Mister Rios are both wearing the same time mr. Jackson repeats his ties every 12 days and Mister Rios repe
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!