Answer:
Each mixture has the same amount of salt for every 1 cup of water.
Step-by-step explanation:
It is provided that:
- Nia mixed 1 teaspoon salt with 3 cups warm water.
- Trey mixes 1 /2 teaspoon salt with one and 1/2 cups warm water.
The ratio of the number of teaspoons of salt to the number of cups of water is 1 : 3 in Nia's solution.
On dividing the amount of salt and the amount of water by 3, the ratio will be the same.
Thus 1 : 3 is equivalent to the ratio 
, which means that Nia's solution has 
teaspoon of salt for every cup of water.
The ratio of the number of teaspoons of salt to the number of cups of water is 
in Trey’s solution.
On dividing the amount of salt and the amount of water by 
, the ratio will be the same.
So Trey’s ratio is also equal to the ratio .
Since each mixture has the same amount of salt for every 1 cup of water, they are equally salty and taste the same.
Answer:
x = 38°
Step-by-step explanation:
in the given question,
the two angles are complementary, because sum of their measures = 90°
so,
=》52° + x = 90°
=》x = 90° - 52°
=》x = 38°
Answer:
If it does not end/terminate it is irrational.
Step-by-step explanation:
Answer:
<u>b) 95 degrees</u>
Step-by-step explanation:
Remember that the internal angles of a triangle add up to 180°.
Solving :
- 45° + 40° + ∠x = 180°
- ∠x + 85° = 180°
- ∠x = <u>95 degrees</u>
The bottom answer is correct. I had some trouble with this so I had to find x and y in separate parts.
TO FIND X
notice that the top triangle and bottom triangles are similar, meaning if you multiple all three sides of one by a specific number, it becomes the same size as the bottom triangle.
17 x n = 8, therefore n=8/17
8 x n = X, therefore X=64/17
For some reason, this does not give a correct value for Y, so I had to use trig
TO FIND Y
Notice that the angle DAB is the same as DBC (lets call this angle Ø)
Using trig rule, we know that the cos of an angle is equal to the adjacent side divided by the hypotenuses.
We can now form some equations:
cosØ = 15/17 (from the top triangle)
cosØ = 8/Y (from bottom triangle)
Now we know that Y=(8x17)/15 = 136/15
X=64/15 Y=136/15
