Answer:
7 - x meters
Step-by-step explanation:
This is a difference of squares. The formula for difference of squares is
a^2-b^2 = (a-b)(a+b)
So plug the numbers we know into this formula.
Area = lw
49 - x^2 = (a-b)(7+x)
49 - x^2 = (7-x)(7+x)
<u>The length is 7 - x meters.</u>
Answer:
Part A - Angle d is 29º
Part B - Angle e is 61º
Part C - Angle f is 95º
Part D - the box represents a 90º angle
Step-by-step explanation:
Angle d is 29º because of the vertical angles theorem
Angle e is 61º because if you take into account that it tells you one of the angles is 90º, you'll add d, which is 29º, to that in order to get 119. Then you'll subtract 119 from 180, as all the angles in a triangle must have a sum of 180º degrees. The result should be 61º
Although it looks rather acute, f should be 95 degrees because it's a supplementary angle with 85º, meaning you subtract 85 from 180
The box in the triangle is just a symbol indicating a 90º angle
Answer:
3 left handed and 27 right handed.
Step-by-step explanation:
9+1=10
30/10=3
3*9=27
30-27=3
Following the rule of PEMDAS, we do the parentheses first, giving us:
7-2 + 2
Now, left to right!
5+2
Now just add!
7
Hope this helped :)
Answer:
PS = 28 units.
Step-by-step explanation:
See the attached diagram.
This is a figure of rectangle with length (3y + 3) and width 4y.
Now, the perimeter of the rectangle is 2[(3y + 3) + 4y] = 2(7y + 3)
The perimeter of the rectangle is given to be 104 units.
So, 2(7y + 3) = 104
⇒ 7y + 3 = 52
⇒ 7y = 49
⇒ y = 7
Therefore, PS = 4y = 4(7) = 28 units. (Answer)
