Answer:
9/64
Step-by-step explanation:
3 x 3 is 9 and 8 x 8 is 64 and this fraction cannot be simplified
Answer:
One-fifth
Step-by-step explanation:
step 1
Find the distance between the origin and the point B
the formula to calculate the distance between two points is equal to

we have
O (0,0) and B(10, –15)
substitute


step 2
Find the distance between the origin and the point B'
the formula to calculate the distance between two points is equal to

we have
O (0,0) and B'(2,-3)
substitute


step 3
Find the scale factor of the dilation
The scale factor is equal to divide the length of segment OB' by the length of segment OB
so

so
One-fifth
Answer:

Step-by-step explanation:
-Solve for
:

-Combine like terms:


-Add both sides by
:


So, the value of
is
.
Since there are 5 appetizers and 10 main courses, that already gives us 50 options. For each appetizer, you can pair it with ten different courses. That means for each appetizer, 10 options are possible. 10*5=50, so if there were only appetizers and courses, there'd be 50 choices. But there are also desserts. That gives us 2 times the possibilities (since for each previous possibility, you have two options for dessert). 2*50=100. There are 100 options.
Answer:
c
Step-by-step explanation:
180= 45+ (5x+35)
-45 -45
135 = 5x + 35
-35 -35
100 = 5x
/5 /5
x=20