Answer:
111°
Step-by-step explanation:
- All these are parallel lines, so the 36° angle is equal to the 36° angle inside the big triangle because they are vertically opposite.
- Ignore the line cutting between 45° and the 30° and consider it as one triangle
- Add them to get 75°
- Now you have two known angles 75° and 36°
- To get angle <em>x</em><em> </em>add 75° and 36° to get 111°
- Because x° is an exterior angle and exterior angles equal to the sum of interior angles opposite it inside the triangle.
The soultion for the set is the second one
To rotate a point around the origin by 180 degrees, multiply both parts of the coordinate point by . (This means you go from to .)
The distance formula is:
We are given two points in the form (x,y), so plug in the values to the distance formula:
Next we can simplify. We know that 12-12 is 0, so we can drop it from the equation, as it will not affect our answer. Also, we know that -10-15 is -25:
The square and square root cancel each other out leaving us with 25.
The answer is 25.
Step-by-step explanation:
Let's make the number we're finding to be . So, it says that it will be divided by 4 and then added by 12 if we want this in algebraic expression it will be . It's also telling us that that expression is the same thing as our number divided by 3 and subtracted by 5. If we want an expression out of it it well be . Since they are the same, we have the equation below.
All we have to do now is to find .
<h3>Answer:</h3>
Our number must be . I think