Answer:
47°
Step-by-step explanation:
In the picture attached, the problem is shown.
When two secants intersect at a point, the angle made is one-half of the difference between the greater arc and the minor arc formed. In this case:
∠ABC = 1/2*(arc DE - arc AC)
Replacing with data from the picture:
∠ABC = 1/2*(142° - 48°)
∠ABC = 47°
Answer:
390
Step-by-step explanation:
We know that the top is a rectangle triangle, we only have two of the tree sides and the one that is missing is the hypotenuse. The formula to find it is
If we put the values we know it would be
= 13
So now we have the lenght missing.
The area of the top and bottom is the same and we found it by the formula =
= 30, that is the area of just one triangle, multiply by 2 and that is the area of top and bottom = 30 x 2 = 60
The area of a rectangle is base x height, we have three rectangles.
First one: 13 x 11 = 143
Second one: 5 x 11 = 55
Third one: 12 x 11 = 132
The sum of the areas would be = 60 + 143 + 55 + 132 = 390
Answer:
(4,6) is the solution.
Step-by-step explanation:
Given
Let the solution be .
The solution to this line means it should satisfy the equation. Therefore, substituting this we get,
Dividing by 4 throughout we get,
Therefore, the solution is: (4,6)