Answer:
width=4in.
length=13in
Step-by-step explanation:
let the width of the rectangle be x
then the length will be x+9
Area= length×width
52= (x+9)x
52= x²+9x
x²+9x-52=0
x²+13x-4x-52=0
x(x+13) - 4(x+13)= 0
(x-4)(x+13)=0
x=4 or -13
dimension cannot be negative
hence x=4in
the width is 4in. and the length is 4+9=13in.
Answer:
Step-by-step explanation:
m<ABC=90 because of Angle inscribed in Semicircle Theorem
Answer:
A) not congruent. You only know one side and one angle to be congruent.
Step-by-step explanation:
9514 1404 393
Answer:
72, 96
Step-by-step explanation:
6 and 8 are already multiples of 2. The prime factorization of these numbers is ...
6 = 2×3
8 = 2³
The least common multiple of these numbers must have factors of 2³ and 3. That number is ...
2³×3 = 24
Multiples of 24 less than 150 are ...
24, 48, 72, 96, 120, 144
Of these, the values in the range of interest are 72 and 96.
Ravi could choose 72 or 96.
_____
72 = 2×36 = 6×12 = 8×9
96 = 2×48 = 6×16 = 8×12
