Answer:
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Step-by-step explanation:
Answer:
8.75+7.45=16.2. 16.2 is equal to $16.20 so 48.00-16.20=31.8. Jonathan had $31.80 left.
Step-by-step explanation:
Given that, the variable z is directly proportional to x, and inversely proportional to y.
So, we can set up an equation as following:
Where k = constant of variation.
Another information given in the problem is, when x is 9 and y is 6, z has the value 19.5.
So, x = 9, y = 6 and z = 19.5.
Let's plug in these values in the above equation. So,
19.5 = k* 1.5
Divided each sides by 1.5 to isolate k.
So, k = 13.
Hence, the equation will be 
.
Now we need to find the value of z when x= 14, and y= 11 . Therefore,
So, z= 16.5 (Rounded to tenth).
Hope this helps you!
5a. a° = 128°
5b. b° = 1.3°
5c. c° = 341°
<h3>How to determine the unknown sides</h3>
5a
a° = 128°
This is because parallel angles are equal and angles a° and 128° are parallel to each other
5b
Angles (4b-10)° and (2b - 2)° are equal.
This is because alternate angles are equal and they are alternate to each other
To find b , equate both angles
4b - 10 = 2b - 2
collect like terms
4b + 2b = -2 + 10
6b = 8
Make 'b' subject of formula
b = 8/6
b = 1.3°
5c.
c° is at angle at a point.
19° is alternate to the other part of the point
We have, c° + 19° = 360° (angle at a point)
c° + 19° = 360°
Make 'c' subject of formula
c° = 360° - 19°
c° = 341°
Thus, the unknown angles are given as a = 128°, b = 1.3°, c = 341°
Learn more about interior angles here:
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Answer:
pretty much yes just that one is bigger than the other
Step-by-step explanation:
