2 supplementary angles when added together need to equal 180 degrees.
Add:
3x-23 + 2x-12 = 180
Simplify:
5x -35 = 180
Add 35 to both sides:
5x = 215
Divide both sides by 5:
X = 43
Now replace x with 43 in the equation for angle b:
2(43) -12 = 86-12 = 74 degrees
Angle B = 74 degrees
Answer:
![SA=544\ cm^2](https://tex.z-dn.net/?f=SA%3D544%5C%20cm%5E2)
Step-by-step explanation:
we know that
The surface area of a rectangular prism is equal to the area of its six rectangular faces
using the net
The surface area is equal to
![SA=2[(16)(6)]+2[(16)(8)]+2[(8)(6)]](https://tex.z-dn.net/?f=SA%3D2%5B%2816%29%286%29%5D%2B2%5B%2816%29%288%29%5D%2B2%5B%288%29%286%29%5D)
![SA=192+256+96](https://tex.z-dn.net/?f=SA%3D192%2B256%2B96)
![SA=544\ cm^2](https://tex.z-dn.net/?f=SA%3D544%5C%20cm%5E2)
The center of the dilation is the origin, and the scale factor is 2.
To find the coordinates of the points under this transformation, it is enough to multiply both coordinates of the points X, Y, and Z by 2.
Take a look at the dilation of point Z. To get to Z', both the x and y coordinate of Z must be multiplied by 2.
So, the coordinates are:
X'(8, 0); Y'(6, 4); Z'(4, -4).
9514 1404 393
Answer:
24 cm²
Step-by-step explanation:
To find the area of the trapezium, we must know the length CD. That means we must know the length BC. Fortunately, the perimeter of ABCF is given, so we have ...
P = 2(AB +BC)
BC = (P/2) -AB = (20 cm)/2 - 6 cm = 4 cm
Then CD is ...
CD = BD -BC = 9 cm -4 cm = 5 cm
The area of the trapezium is given by the formula ...
A = (1/2)(b1 +b2)h
A = (1/2)(5 cm + 3 cm)(6 cm) = 24 cm²
The area of trapezium CDEF is 24 cm².
x is equal to 5 and y is equal to 29