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
Answer:
C. x = 8 , y = 40
Step-by-step explanation:
since this is an Isosceles triangle 5x = 40° and x = 8
The sum of interior angles in a triangle is equal to 180°
40° + 5x + 2y + 20 = 180° add like terms
5x + 2y = 120
40 + 2y = 120 ➡ 2y = 80 and y = 40
Let the length of the patio is x and width is 3/4x
So according to the equation x.3/4x = 432
x^2. 3/4 =432
x^2 =432 times 4/3
x^2 =1728/3 =576
x= 24
The length is 24 ft
Answer:
There are 9 boys in the choir
Step-by-step explanation:
To solve this, create two equivalent fractions with the information given
boys 3 x
------- = ------ = ------
girls 4 12
Then, cross-multiply
4x = 3(12)
4x = 36
x = 9
