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
alina1380 [7]
3 years ago
13

Properties of rectangle

Mathematics
2 answers:
Alexandra [31]3 years ago
8 0

4. y = 5

5. DB = 27

6. AC = 18

7. m<ABD = 53

Nat2105 [25]3 years ago
6 0

For this case we have:

Question 1:

BC = 24\\AD = 5y-1

By definition, one of the properties of the rectangle states that:

The opposite sides of a rectangle have the same length, that is, they are equal, then:

BC = AD

So:

24 = 5y-1

Clearing "y" we have:

24 + 1 = 5y\\25 = 5y\\y = \frac {25} {5}\\y = 5

Thus, the value of "y" is 5.

Answer:

y = 5

Question 2:

AC = 2x + 13\\DB = 4x-1

By definition, one of the properties of the rectangles states that:

 The diagonals of a rectangle have the same lengths, that is:

AC = DB\\2x + 13 = 4x-1

We clear the value of "x":

13 + 1 = 4x-2x\\14 = 2x\\x = \frac {14} {2}\\x = 7

We must find DB:

DB = 4x-1 \\DB = 4 (7) -1\\DB = 28-1\\DB = 27

ANswer:

DB = 27

Question 3:

AE = 3x + 3\\EC = 5x-15

By definition, one of the properties of the rectangles states that:

The diagonals of a rectangle intersect and at the point of intersection they are divided in half, that is:

AE = EC\\3x + 3 = 5x-15

Clearing the value of "x" we have:

3 + 15 = 5x-3x\\18 = 2x\\x = \frac {18} {2}\\x = 9

We know that:

AC = AE + EC\\AC = 3x + 3 + 5x-15\\AC = 8x-12\\AC = 8 (9) -12\\AC = 60

ANswer:

AC = 60

Question 4:

m

By definition, one of the properties of the rectangles states that:

The 4 angles of the rectangles are straight. From there it turns out that:

m

We clear the value of "x":

7x-4x = 5 + 31\\3x = 36\\x = \frac {36} {3}\\x = 12

So:

m

Answer:

m

You might be interested in
Select the coordinates of two points on the line y = 8
VladimirAG [237]
From your answer choices, look for an answer choice that has any number in the x-coordinate, but has 8 in the y-coordinate of the point. So: (x,8)
4 0
3 years ago
A principal of $4700 is invested at 8.25% interest compounded annually. How much will the investment be worth after 7 years?
Mariana [72]

Answer:

$7562.50

Step-by-step explanation:

4700 (1.0825)^7-1

8 0
3 years ago
There is a circle with a center of 0,0 on a coordinate plane. There is one point on the circle's circumference in which the x:y
abruzzese [7]

Answer:

Step-by-step explanation:

Suppose the radius is 1. The parametric equations for the circle are

x = cosθ

y = sinθ

x:y = 3:1

tanθ = ⅓

cosθ = 3/√(1²+3²) =  3/√10

sinθ = 1/√10

The solutions are (3/√10, 1/√10) and (-3/√10, -1/√10).

6 0
3 years ago
ROUND YOUR ANSWER TO THE NEAREST TENTH
Alenkasestr [34]

Answer:8 I think, sorry it it is wrong

Step-by-step explanation:

7 0
3 years ago
I need help please get on z o o m
sergiy2304 [10]

Answer:

Ok

Step-by-step explanation:

Send me link I will help u

5 0
3 years ago
Other questions:
  • It's #25 guys. Show your work!
    15·1 answer
  • How do I get the numbers for the x and y Table ?
    15·1 answer
  • What is x? I am no good at math and am trying to help a friend.
    11·1 answer
  • Slope 1,passes through (2,5)<br> Write equation in slope intercept form
    12·1 answer
  • Is x = 22 a solution to this inequality?<br> x-1&lt;0<br> Type yes or no.<br> arnell
    9·2 answers
  • Town B is 40 km due north of town a what is the bearing of a from B ​
    14·1 answer
  • 9)A linear equation is graphed. What is the y-intercept of the linear<br> equation?<br> *
    12·1 answer
  • Bob's Shoe Emporium sold 5,787 shoes in March. In April they sold 6,245 shoes. How many more shoes did they sell in April than i
    13·1 answer
  • Jim is 5 feet, 8 inches (5.7) ft tall. He casts a shadow that is 6 feet, 4 inches (6.3ft) long. A tree casts a shadow that is 19
    12·1 answer
  • Select all correct answers.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!