You answer is 3 and here's why...
7x + 5 - 3x - 7 = 10
First you must collect like terms
And that gives us
4x - 2 = 10
Next you must simplify by removing additives
4x - 2 + 2 = 10 + 2
4x = 12
Now you must divide
4x/4 = 12/4
x = 3
Answer:
The area of the shaded figure is:
Step-by-step explanation:
To obtain the area of the shaded figure, first, you must calculate this as a rectangle, with the measurements: wide (4 units), and long (6 units):
- Area of a rectangle = long * wide
- Area of a rectangle = 6 * 4
- Area of a rectangle = 24 units^2
How the figure isn't a rectangle, you must subtract the triangle on the top, so, now we calculate the area of that triangle with measurements: wide (4 units), and height (2 units):
- Area of a triangle =

- Area of a triangle =

- Area of a triangle =

- Area of a triangle = 4 units^2
In the end, you subtract the area of the triangle to the area of the rectangle, to obtain the area of the shaded figure:
- Area of the shaded figure = Area of the rectangle - Area of the triangle
- Area of the shaded figure = 24 units^2 - 4 units^2
- <u>Area of the shaded figure = 20 units^2</u>
I use the name "units" because the exercise doesn't say if they are feet, inches, or another, but you can replace this in case you need it.
Answer: 46 years
Step-by-step explanation:
Let the father's age be x and the son's age be y, then 3 years ago:
Father = x - 3
son = y - 3
Then , from the first statement :
x - 3 = 3 ( y - 3 )
x - 3 = 3y - 9
x = 3y - 9 + 3
x = 3y - 6 .......................................... equation 1
In five years time
father = x + 5
son = y + 5
Then , from the second statement
x + 5 = 2 ( y + 5 )
x + 5 = 2y + 10
x = 2y + 10 - 5
x = 2y + 5 ........................ equation 2
Equating equation 1 and 2 , we have
3y -6 = 2y + 5
add 6 to both sides
3y = 2y + 5 + 6
subtract 2y from both sides
3y - 2y = 11
y = 11
substitute y = 11 into equation 1 to find the value of x
x = 3y - 6
x = 3(11) - 6
x = 33 - 6
x = 27
This means that the father is presently 27 years and the son is presently 11 years.
In four years time
father = 27 + 4 = 31
son = 11 + 4 = 15
sum of their ages in four years time will be
31 + 15 = 46 years
3√1024<span>= 10.079368399159
That's your answer.
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Answer:
Part 1) The perimeter is 
Part 2) The diagonal is 
Step-by-step explanation:
<u><em>The question in English is</em></u>
You have a rectangle whose base is twice the height and its area is 12
square centimeters. Calculate the perimeter of the rectangle and its diagonal
step 1
Find the dimensions of rectangle
we know that
The area of rectangle is equal to


so
----> equation A
The base is twice the height
so
----> equation B
substitute equation B in equation A

Find the value of b

step 2
Find the perimeter of rectangle
The perimeter is given by

substitute

step 3
Find the diagonal of rectangle
Applying the Pythagorean Theorem

substitute


