We must find the perimeter of all eight windows. To make it simpler for us, let's find the perimeter of one window and multiply it by 8.
2*3.5 + 2*5 = 7 + 10 = 17
17*8 = 136
Hope this helps!
Let, one leg be x units.
since the other leg is 9.0 units shorter than the other,
the measure of the other leg =x-9
hypotenuse =13.0 units
According to Pythagorean theorem, the square of the hypotenuse is equal to the sum of squares of the other two sides.
x^2 +(x-9)^2 =13^2
x^2 + x^2 -18x +81 = 169
2x^2-18x-88=0
Divide the whole equation by 2
x^2 - 9x -44 =0
Let's use the quadratic formula to find the roots.
formula: x= [-b ± sqrt(b^2-4*a*c)]/2*a
a=1 b=-9 c=-44
x= [9±sqrt(81+176)]/2
=[9±sqrt(257)]/2
=[9±16.03]/2
=25.03/2 or -7.03/2
length of a triangle cannot be negative,
Therefore, x=25.03/2 =12.52
one leg =12.5 units
other leg =12.52-9 =3.5 units
Smaller angle = 41°
Larger angle = 139°
Step-by-step explanation:
(7x - 1) + (2x + 1) = 180
7x + 2x - 1 + 1 = 180
9x = 180
x = 20
- The measure of the smaller angle is
2x + 1
= 2(20) + 1
= 40 + 1
<u>= 41°</u>
- The measure of the larger angle is
7x - 1
= 7(20) - 1
= 140 - 1
<u>= 139°</u>
