Answer:
x=-1
Step-by-step explanation:
59° + 81°+ x° = 180°
140° + x° = 180°
x = 40°
Answer:
c. x>4
Step-by-step explanation:
subtract 7 from both sides. 11-7=4
x>4
The given shapes area is found to be 4 square yards.
Step-by-step explanation:
Step 1; To determine the area of an indefinite shape we must divide it into the shapes that we know. The shape that is given can be split into a triangle with a rectangle in it.
Step 2; Any given triangles area is half the multiplication of its base value and its height value. In the given diagram, the base of the triangle measures a length of 5 yards and the length from base to top is 4 yards
Area of the triangle =
* base * height =
* 5 * 4 = 10 square yards.
The given rectangle measures a length of 3 yards and a width of 2 yards. The area of any given rectangle is the multiplication of its length and width.
Area of the rectangle = Length * Width = 3 yards * 2 yards = 6 square yards.
Step 3; To find the total area of the shape we must subtract the the rectangle's area from the triangle's area.
Area of given shape = Area of the triangle - Area of the rectangle.
Area of given shape = 10 square yards - 6 square yards = 4 square yards.
Answer:
x = 11.4
Step-by-step explanation:
The sum of the angles of any triangle must add up to 180°. Since we have the expressions for each angle: 5x, 8x, and (2x +9), we can solve for the variable of 'x' by adding the expressions together and setting them equal to 180:
5x + 8x + (2x +9) = 180
Combine like terms: 15x + 9 = 180
Use inverse operations: 15x + 9 - 9 = 180 - 9
15x = 171 or x = 11.4
Check: 5(11.4) + 8(11.4) + 2(11.4) + 9 = 57 + 91.2 + 22.8 + 9 = 180