Answer:
angle 1 measures 54°
Step-by-step explanation:
opposite angles are congruent
ration? You deserve better from your teacher.
The ratio of auditorium to theater seats is
1200:320
That's a perfectly valid answer and we could stop here if we weren't asked for lowest terms. Here I can see that 12 and 32 have a common factor of 4 and both these end in zero so 40 is a common factor:
1200:320 = 30:8
We can keep reducing by another factor of 2,
1200:320 = 30:8 = 15:4
There's our 15/4, which we get when we write the ratio as a fraction.
Answer: 15/4
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This question implies a ratio is just a fraction, which it isn't. Let's quickly note the differences.
A ratio can have zero on either side; 1:0 is a perfectly valid ratio but 1/0 is not a valid fraction. A ratio can't be all zeros -- that's not allowed.
A ratio can have more than two numbers. 3:4:5 is a common ratio that gives rise to a right triangle.
Like fractions, ratios can be reduced: For λ≠0,
λa : λb : λc = a:b:c
Answer:
25.56% or $11.50
Step-by-step explanation:
I took it and put it in a sales tax calc.
1. 
These two numbers are: -5 and -5
-5 + (-5) = -10
-5 * -5 = 25
so...
(x - 5)(x - 5)
To find the roots set the factored numbers equal to zero and solve for x:
x - 5 = 0
x = 5
2. 
This equation needs to be equal to zero, so bring -14 to the other side by adding 14 to both sides
Find two numbers that the sum is equal to 9 AND the multiplication of the numbers is 14
These numbers are 7 and 2
7 + 2 = 9
7*2 = 14
so...
(x + 2) (x + 7)
To find the roots set the each of the factored numbers equal to zero and solve for x:
x + 2 = 0
x = -2
x + 7 = 0
x = -7
3. 
This equation needs to be equal to zero, so bring 6x to the other side by subtracting 6x to both sides
In this equation you can factor out a 3 and an x:
3x (x - 2)
To find the roots set the each of the factored numbers equal to zero and solve for x:
3x = 0
3x/3 = 0/3
x = 0
x - 2 = 0
x = 2
Hope this helped!
