Answer:
Step-by-step explanation:
we know that
The <u><em>Trapezoid Mid-segment Theorem</em></u> states that: A line connecting the midpoints of the two legs of a trapezoid is parallel to the bases, and its length is equal to half the sum of lengths of the bases
so In this problem
![EF=\frac{1}{2}[AD+BC]](https://tex.z-dn.net/?f=EF%3D%5Cfrac%7B1%7D%7B2%7D%5BAD%2BBC%5D)
substitute the given values
![x=\frac{1}{2}[(x-6)+(2x-3)]](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D%5B%28x-6%29%2B%282x-3%29%5D)
![x=\frac{1}{2}[3x-9]](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D%5B3x-9%5D)
so
The original number is 15.
Let’s work it out.
First, divide.
21 divided by 3 is 7.
Now, add.
8 + 7 = 15
This is true because...
15 - 8 = 7
Hope this helps, have a great day, stay safe and positive.
:)
Answer:
Below in bold.
Step-by-step explanation:
The hexagon is made up of 6 equilateral triangles.
So the Base = 12 cm.
Height a = 12 cos 30 = 10.392 cm
So area of 1 triangle = 1/2 * 12 * 10.392 cm^2
- and total area = 6 * 1/2 * 12 * 10.392
= 36 * 10.392
= 374.11 cm^2 to the nearest hundredth.
Answer: 0.75
Step-by-step explanation:
You would have to bring it closer to the stage. At that point initially in the diagram, the angle is 25°. As you can see, the angle is small. But when you bring it closer to the stage, the opening would also increase. Otherwise, if you move it farther away, the opening becomes even smaller.
