We need to split this shape into different shapes. I am going to split it into 2 rectangles, and one triangle. The first thing I am going to do is the triangle. A triangle has an area of 1/2 b*h. Since 25 is the base of the figure, and 16 is the top portion where the triangle dips, we will subtract 16 from 25 to find the base of the triangle. The base is 9. Now we will find the height using the same method with the 23 and the 14. Our height is 9. 9*9 = 81 * 1/2 = 40.5. The area of our triangle is 40.5.
Next I will move on to the bigger rectangle. I am going to create a line where the 16 cm stops on the right hand side. This makes our base 16 cm and the height 23. 16 * 23 is 368. The area of this rectangle is 368
And now for our final rectangle. The base for this one is the same as the base of our triangle, so it is 9. The height of this one is 14. 9 * 14 =126. The area of this rectangle is 126.
Now we need to add these all together.
368 + 126 + 40.5 = 534.5 cm^2
Answer:
x+85 + x+105 = 180
x = -5
x+85 = -5+85 = 80
x+105 = -5+105 = 100
Step-by-step explanation:
The two angles form a straight line so they add to 180
x+85 + x+105 = 180
Combine like terms
2x + 190 = 180
Subtract 190 from each side
2x+190-190 = 180-190
2x = -10
Divide by 2
2x/2 = -10/2
x = -5
x+85 = -5+85 = 80
x+105 = -5+105 = 100
Answer:
Z = 5.735
Step-by-step explanation:
Explanation has been given as follow
Answer:
Angle a added to 75° and 70° equals 180°. Looking at the small triangle that includes angle b we now know that a = 35° and, since the sum of the triangles equal 180° we can find angle b.
Step-by-step explanation:
Check the picture below.
ok, notice the volume of the smaller cube forming the larger cube. Keeping in mind that the larger cube has 90 of those small ones.