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
Agata [3.3K]
3 years ago
11

Suppose ABCD is a rectangle. Find AB and AD if point M is the midpoint of

Mathematics
1 answer:
Dvinal [7]3 years ago
4 0
We know that
Perimeter=2AB+2AD=34 in-----> AB+AD=17-----> AB=17-AD-----> equation 1

MA=MD
MA²=AB²+(AD/2)²
for the triangle AMD
AD²=[MA²+MD²]----> AD²=2*[MA²]----> AD²=2*[AB²+(AD/2)²]---> equation 2

I substitute 1 in 2

AD²=2*[(17-AD)²+(AD/2)²]----> AD²=2*[289-34AD+AD²+0.25AD²]

AD²=578-68AD+2.50AD²--------> 1.50AD²-68AD+578

1.50AD²-68AD+578=0

 using a graph tool to solve the quadratic equation

see the attached figure

AD1=11.33 in

AD2=34 in----------is not solution because (AB+AD=17)

Solution is AD=11.33 in

AB=17-11.33--------> 17-11.33-----> AB=5.67 in

 the answer is

AD=11.33 in

<span>AB=5.67 in</span>

 

You might be interested in
Write an equivalent expression using the given property.
gayaneshka [121]
3xy -6x

just multiply 3x by y and 3x by -2
3 0
2 years ago
Describe two methods that can be used to find the area of the composite figure.
vekshin1

You can draw a line to make a square and a rectangle to help find the area. The other method would be to form 2 squares and 1 rectangle.

This is probably wrong but I hope it helps!

4 0
2 years ago
Read 2 more answers
Given: AB ∩ CD = O, m∠NOD = x,m∠AON = 44º, m∠BOC = 102º.<br> Find: x.
xeze [42]

Answer:

x= 58

Step-by-step explanation:

minus 44 from 102

6 0
3 years ago
What is the equation in point slope form of a line that passes through the points (5,-3)
Illusion [34]
I think it's option 2 / b
4 0
3 years ago
The equation of a line is 8x+2y=10. Calculate the slope of the line.
emmainna [20.7K]

Answer:

that is the solution to the question

6 0
3 years ago
Other questions:
  • Anybody know the right answer?
    13·1 answer
  • A 10 ounce container of milk contains 200 calories How many calories does each ounce of milk contain
    12·1 answer
  • Divide and round to the nearest tenth 3.5 divided by 2.29
    13·1 answer
  • To make a batch of four dozen cookies, Denis needs 1 3/4 cups of four, 1 cup of sugar, and 1/3 cup of milk. Calculate the amount
    11·1 answer
  • What is the range of the function in the given table?
    15·2 answers
  • 7
    12·1 answer
  • I need help guys I don't get it .. thank you
    6·1 answer
  • Solve for<br> 8 - 6r + 3 = 5
    9·1 answer
  • Write the equation of the quadratic whose Vertex is at ( −4,−5) and passes through the point (−3, −7)
    14·1 answer
  • Please answer this.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!