It would shrink vertically
"A ratio of 4 to 5" means that dividing the two angles (whatever they may be) simplifies to 4/5. One example is 40 degrees and 50 degrees so 40/50 = 4/5. Another example is the pair of angles 20 and 25, so 20/25 = 4/5
For now, we don't know the angles. Let's call them x and y. Based on the info above, we can say
x/y = 4/5
also we know that x and y add to 90 degrees because the angles are complementary. So x+y = 90 which solves to y = 90-x if you isolate y.
Let's cross multiply on the first equation to get...
x/y = 4/5
5*x = 4*y
Now replace y with 90-x. Solve for x
5x = 4(90-x)
5x = 360 - 4x
5x+4x = 360
9x = 360
x = 360/9
x = 40
Use this to find y
y = 90 - x = 90 - 40 = 50
So the two angles are 40 degrees and 50 degrees.
Hello!
Before creating equations and solving for the values of the soft drink and sandwich, we need to assign variables. We can assign x to the soft drink and sandwich.
Since the sandwich costs 3.5 times as much as the soda, it is written as 3.5x and the soda is just x. Also, the total cost is 9.90 dollars.
3.5x + x = 9.90 (simplify)
4.5x + 9.90 (divide both sides by 4.5)
x = 2.2 | That is the cost of the soda.
To find the cost of the sandwich, we subtract 2.20 from the total cost.
9.90 - 2.20 = 7.70 | That's the cost of the sandwich.
Therefore, the final answer is B, the sandwich costs $7.70 and the soda costs $2.20.
Step-by-step explanation:
4/52 × 3/52 = .0044
0.44%
