Answer:
see below
Step-by-step explanation:
DB = 9 units (by counting)
BA = 12 units (by counting)
DA can be found by using the pythagorean theorem
a^2 +b^2 = c^2
BD^2 + BA^2 = DA ^2
9^2 +12^2 = DA^2
81 +144 = DA^2
225 = DA ^2
Take the square root of each side
sqrt(225) = sqrt(DA^2)
15 = DA
LJ = 3 units (by counting)
JK = 4 units (by counting)
LK can be found by using the pythagorean theorem
a^2 +b^2 = c^2
LJ^2 + JK^2 = LK ^2
3^2 +4^2 = LK^2
9 +116 = LK^2
25 = LK ^2
Take the square root of each side
sqrt(25) = sqrt(LK^2)
5 = LK
Scale factor from BAD to JKL
15 to 5
Divide each side by 5
3 to 1
We multiply by 1/3 to go from the big to small
The numbers are "x" and "y";
Therefore, we can suggest this system of equations:
x+y=24 ⇒x=24-y
x/y=5
solve this problem by substitution method.
(24-y)/y=5
24-y=5y
-y-5y=-24
-6y=-24
y=-24/-6=4
x=24-y
x=24-4
x=20
Answer: the numer are: 20 and 4
Answer:
x = -2
Step-by-step explanation:
2(4x+8)
= 8x+16
8x+16 = 0
-16 -16
8x = -16 (do -16÷8 & get)
x = -2
Answer: 582.7526
Step-by-step explanation:
p =3,14
r =13,4:2=6.7
r^2=44.89
SA= 3,14*44.89+3,14*6,7*21= 582,7526
62.5% - percent
.625 - decimal
5/8 - faction