since we have to find the adjacent of the triangle inorder to get the length of the rectangle..
ajd=√115^2-69^2 #pythogorean theorem
adj =92
so length of rectangle=100+92
=192.
area of rectangle=192x69= 13248 square units...
Answer: Hope this helps!
XYW=48 degrees
X=16
Step-by-step explanation:
So the angles are on a straight line. A straight line is 180 degrees. If you subtract 132 by 180 you get 48. Now to solve for x I divided 48 by 3. And I got 16.
<span>Simplifying
3(n + 11) + -5n = -2(n + -12) + 9
Reorder the terms:
3(11 + n) + -5n = -2(n + -12) + 9
(11 * 3 + n * 3) + -5n = -2(n + -12) + 9
(33 + 3n) + -5n = -2(n + -12) + 9
Combine like terms: 3n + -5n = -2n
33 + -2n = -2(n + -12) + 9
Reorder the terms:
33 + -2n = -2(-12 + n) + 9
33 + -2n = (-12 * -2 + n * -2) + 9
33 + -2n = (24 + -2n) + 9
Reorder the terms:
33 + -2n = 24 + 9 + -2n
Combine like terms: 24 + 9 = 33
33 + -2n = 33 + -2n
Add '-33' to each side of the equation.
33 + -33 + -2n = 33 + -33 + -2nCombine like terms: 33 + -33 = 0
0 + -2n = 33 + -33 + -2n
-2n = 33 + -33 + -2n
Combine like terms: 33 + -33 = 0
-2n = 0 + -2n
-2n = -2n
Add '2n' to each side of the equation.
-2n + 2n = -2n + 2n
Combine like terms: -2n + 2n = 0
0 = -2n + 2n
Combine like terms: -2n + 2n = 0
0 = 0
Solving
0 = 0
<span>Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.</span></span>
Answer:
£45
Step-by-step explanation:
Given data
P= £300
R=5%
T= 3 years
SI= PRT/100
substitute
SI= 300*5*3/100
SI=4500/100
SI= £45
Hence the interest is £45
She started with x boxes.
Then she bought 7 more, so now she has x + 2.
Then half of the boxes were destroyed.
She now has (x + 7)/2.
She has 22 boxes.
(x + 7)/2 = 22
x + 7 = 44
x = 37
She started with 37 boxes.