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
Arlecino [84]
3 years ago
8

Parallelogram ABCD ​ is a rectangle.

Mathematics
1 answer:
Sliva [168]3 years ago
3 0

Answer:

y = 7

Step-by-step explanation:

Given the parallelogram, ABCD is a rectangle and we know that the length of two diagonals of a rectangle are the same.

Now, given that the  diagonal of the rectangle ABCD, AC = 6y - 1 and BD = 4y + 13

Then, we have AC = BD  

⇒ 6y - 1 = 4y + 13

⇒ 2y = 14

⇒ y = 7 (Answer)

You might be interested in
The box which measures 70cm X 36cm X 12cm is to be covered by a canvas. How many meters of canvas of width 80cm would be require
grigory [225]

Answer:

142.2 meters.  

Step-by-step explanation:

We have been given that a box measures 70 cm X 36 cm X 12 cm is to be covered by a canvas.      

Let us find total surface area of box using surface area formula of cuboid.

\text{Total surface area of cuboid}=2(lb+bh+hl), where,

l = Length of cuboid,

b = Breadth of cuboid,

w = Width of cuboid.

\text{Total surface area of box}=2(70\cdot36+36\cdot 12+12\cdot 70)

\text{Total surface area of box}=2(2520+432+840)

\text{Total surface area of box}=2(3792)

\text{Total surface area of box}=7584

Therefore, the total surface area of box will be 7584 square cm.  

To find the length of canvas that will cover 150 boxes, we will divide total surface area of 150 such boxes by width of canvass as total surface area of canvas will also be the same.

\text{Width of canvas* Length of canvass}=\text{Total surface area of 150 boxes}

80\text{ cm}\times\text{ Length of canvass}=150\times 7584\text{cm}^2

\text{ Length of canvass}=\frac{150\times 7584\text{ cm}^2}{80\text{ cm}}

\text{ Length of canvass}=\frac{1137600\text{ cm}^2}{80\text{ cm}}

\text{ Length of canvass}=14220\text{ cm}

Let us convert the length of canvas into meters by dividing 14220 by 100 as 1 meter equals to 100 cm.

\text{ Length of canvass}=\frac{14220\text{ cm}}{100\frac{cm}{m}}

\text{ Length of canvass}=\frac{14220\text{ cm}}{100\frac{cm}{m}}

\text{ Length of canvass}=\frac{14220\text{ cm}}{100}\times\frac{m}{cm}

\text{ Length of canvass}=142.20\text{ m}

Therefore, 142.2 meters of canvas of width 80 cm required to cover 150 such boxes.

5 0
3 years ago
Help pls I will give brainliest! 2
Nina [5.8K]

Answer:

rjhghshhvxzd workout a

Step-by-step explanation:

1.351

2.729

6 0
2 years ago
Read 2 more answers
Can 51/54 be simplified
melisa1 [442]
We can reduce the fraction by dividing
the numerator and denominator by 3
and get our simplified answer
<span>=<span>51 ÷ 3/54 ÷ 3</span>=<span>17/<span>18
The </span></span></span>Answer:
<span>=<span>17/<span>18

</span></span></span>
3 0
3 years ago
Read 2 more answers
Determine the value of y, if x is 5.<br> y = x2-7
lions [1.4K]

Answer:

Y = 3

Step-by-step explanation:

5 times 2 is 10 minus 7 is 3.

5 0
3 years ago
Read 2 more answers
What is sin 60 degree
sergey [27]

Okay, notice one thing right off the bat? 60 degrees on a right triangle (unit circle w/ terminal arm) will create the infamous 30-60-90 triangle.


We can use this to our advantage. Since sin is the y-coordinate on the unit circle. We need to solve for the longest side of a 30-60-90 triangle.


We find that the long side (y) of our 30-60-90 triangle is sqrt(3)/2. Since this is in quadrant 1, we know it is positive.


So -- sin60° = sqrt(3)/2

4 0
3 years ago
Other questions:
  • seems like my teacher decided to give us something I've never seen in my life so can someone help me I don't wanna fail
    15·1 answer
  • Amira has $80. Sasha has $40.
    10·1 answer
  • Y=190(1.07)^x<br> identify whether growth or decay and the percentage
    6·1 answer
  • Which two points satisfy y = -x2 + 2x + 4 and x + y = 4? A. (0, 4) and (4, 0) B. (0, 4) and (3, 1) C. (7, -3) and (0, 4) D. (7,
    10·1 answer
  • How many students were surveyed? Puzzle has 20 students
    5·2 answers
  • A county in North Carolina spans 532 square miles. The population density of deer in the county is 11 deer per square mile. How
    13·2 answers
  • 4. The length of a rectangle is four meters less than five times the width. What is the length of the rectangle if
    11·1 answer
  • Complete the equation describing how x<br> and y are related.
    15·1 answer
  • Error intervals from a round amount <br><br> 144.66 to 2 dp
    10·1 answer
  • A plumbing company charges an initial fee of $50, plus an additional $26 per hour of service. A second company charges an initia
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!