Answer:
If each side of pentagon is doubled then its perimeter will also be doubles. The new perimeter is 30 feet.
Step-by-step explanation:
Let the length of all five sides of pentagon = <em>v, w, x, y</em>, and <em>z</em>.
Perimeter of pentagon = Sum of lengths of its all five sides = (<em>v + w + x + y + z</em>) = 15 feet
If each side of pentagon is doubles then,
New perimeter of pentagon = (2<em>v + </em>2<em>w + </em>2<em>x + </em>2<em>y + </em>2<em>z</em>)
= 2 (<em>v + w + x + y + z</em>)
= 2 (15)
= 30 feet
Therefore, if each side of pentagon is doubled then its perimeter will also be doubled.
Answer:
r+5 r^2+4r-21
-------------- / --------------------
r^2+5r-14 r-2
r+5 r-2
= -------------- x --------------------
r^2+5r-14 r^2+4r-21
r+5 r-2
= -------------- x --------------------
(r+7)(r-2) (r+7)(r-3)
r+5
= -----------------
(r+7)^2 (r-3)
hope it helps
Step-by-step explanation:
Answer: 118 degrees
Step-by-step explanation:
Angles on the opposite sides of rhombus will always be equal and the sum of all the angles of quadrilaterals are 360 degrees so we get the equation
2u - 70 + u + 52 + 2u - 70 + u + 52 = 360
6u - 36 = 360
6u = 396
u = 66
But, 66 is not the answer, as they want to find the angle D AKA u + 52 which is 66 + 52 = 118 degrees
Create some expressions.
1# number: x
2# number: 33x
3# number: 100 + x
this all equals to 310310 when added so
x+33x+(x+100) = 310310
Solve what you know first then rearrange it.
34x + x + 100 = 310310
35x = 310310-100
35x = 310210
x = 310210/35
x = 8863.142857
Substitute the x into the expressions made and you'll find the 2# and 3# number. You've already found the 1# number since it's only x.