<span>96 degrees
Looking at the diagram, you have a regular pentagon on top and a regular hexagon on the bottom. Towards the right of those figures, a side is extended to create an irregularly shaped quadrilateral. And you want to fine the value of the congruent angle to the furthermost interior angle. So let's start.
Each interior angle of the pentagon has a value of 108. The supplementary angle will be 180 - 108 = 72. So one of the interior angles of the quadrilateral will be 72.
From the hexagon, each interior angle is 120 degrees. So the supplementary angle will be 180-120 = 60 degrees. That's another interior angle of the quadrilateral.
The 3rd interior angle of the quadrilateral will be 360-108-120 = 132 degrees. So we now have 3 of the interior angles which are 72, 60, and 132. Since all the interior angles will add up to 360, the 4th angle will be 360 - 72 - 60 - 132 = 96 degrees.
And since x is the opposite (or congruent) angle to this 4th interior angle, it too has the value of 96 degrees.</span>
Answer:
I'm pretty sure it is 18
Step-by-step explanation:
Since the shape is not a perfect square you can count how many blocks are shaded. However, the half shaded blocks, since they are half shaded you will need 2 half shaded blocks to make one block
Answer:
or 1.5
Step-by-step explanation:
Now we know it's a dilation. So we can use any two points. I chose V and V'.
V: (3,6)
V': (2,4)
So how we get from 6 to 4?
You can tell it's 1.5 aswell because 4 times 1 is 4 and 4 times 0.5 is 2. Add them to get 6.
Therefore, the dilation factor is 1.5.
(5,-2) because when plugging it in the x and y value, those are the only one that actually works.
Step-by-step explanation:
Geometry is one of the oldest branches of math. Geometry is mostly about distance, shape, size, and relative position of figures. It is related to measurement, relationships of points, lines, angles, surfaces, and solids. There are 8 types of Geometry and the basic concepts of Geometry are point, line and plane. It isn't possible to exactly define the terms, however, we know it is refers to the mark of the position and has an accurate location.
Hope this helps :)
