Step-by-step explanation:
The two triangles are similar so
BC=BC
AB=AB
AC=AC
1.)5z=20 (÷b.s by 5)
z=4
2.)8=2x+2
8-2=2x
6=2x (÷b.s by 2)
x=3
3.)3y-3=15
3y=15+3
3y=18. (÷ b.s by 3)
y=6
Answer:
standard deck has 52 cards. probability of king is 4/52 and probability of a queen is 4/52, so 4/52 + 4/52 = 8/52=2/13
Step-by-step explanation:
905 = 9 hundreds + 0 tens + 5 ones
or 8 hundreds, 10 tens, 5 ones
425 = 4 hundreds, 2 tens, 5 ones
8 hundreds, 10 tens, 5 ones
4 hundreds, 2 tens, 5 ones
---------------------------------------subtract
4 hundreds, 8 tens, 0 ones = 480......(905 - 425 = 480)
7*360/6=420 , substract 360 = 60
The numbers are "x" and "y", therefore, we suggest this system of equations:
x-y=14
xy=1800
We can solve by substitution method.
x=14+y
(14+y)y=1800
14y+y²=1800
y²+14y-1800=0
Now, we solve this square equation:
y=[-14⁺₋√(196+7200)] / 2=(-14⁺₋86)/2
We have two solutions:
y₁=(-14-86)/2=-50 ⇒x=14+y=14-50=-36
y₂=(-14+86)/2=36 ⇒x=14+y=14+36=50
Answer: we have two solutions:
Solution1: The first number is -36 and the other number is -50
Soltuion2: The first number is 50 and the other number is 36
