Answer:
Step-by-step explanation:
The formula that is used to calculate the area of a rectangle is:
Where "l" is the lenght and "w" is the width.
You know that the area of that rectangle is:
And, according to the exercise, its lenght is 7 more than its width; then:
Then, you can make the corresponding substitution into the formula :
Simplify:
Factor the equation. Find two numbers whose sum is 7 and whose product is -744. These are 31 and -24.
Then, you get:
The width of the rectangle is the positive value:
Then, the lenght is:
Answer:
the action of inflating something or the condition of being inflated.
or
a general increase in prices and fall in the purchasing value of money.
Hope this helps
Step-by-step explanation:
There are 16 ounces in one pint. You multiply 16 by three, and you get 48 fluid ounces.
Answer:
1) AD=BC(corresponding parts of congruent triangles)
2)The value of x and y are 65 ° and 77.5° respectively
Step-by-step explanation:
1)
Given : AD||BC
AC bisects BD
So, AE=EC and BE=ED
We need to prove AD = BC
In ΔAED and ΔBEC
AE=EC (Given)
( Vertically opposite angles)
BE=ED (Given)
So, ΔAED ≅ ΔBEC (By SAS)
So, AD=BC(corresponding parts of congruent triangles)
Hence Proved
2)
Refer the attached figure
In ΔDBC
BC=DC (Given)
So,
(Opposite angles of equal sides are equal)
So,
So,
(Angle sum property)
x+x+50=180
2x+50=180
2x=130
x=65
So,
Now,
So,
In ΔABD
AB = BD (Given)
So,
(Opposite angles of equal sides are equal)
So,
So,
(Angle Sum property)
y+y+25=180
2y=180-25
2y=155
y=77.5
So, The value of x and y are 65 ° and 77.5° respectively
