Answer:

Step-by-step explanation:
Given angle is 110°
Now,
![4=2\,\,and\,\,4=5\,\,;[vertical\,\,angle\,\,and\,\,corresponding\,\,angle\,\,respectively ]](https://tex.z-dn.net/?f=4%3D2%5C%2C%5C%2Cand%5C%2C%5C%2C4%3D5%5C%2C%5C%2C%3B%5Bvertical%5C%2C%5C%2Cangle%5C%2C%5C%2Cand%5C%2C%5C%2Ccorresponding%5C%2C%5C%2Cangle%5C%2C%5C%2Crespectively%20%5D)
From the figure,
![4=110^{0}\,\,;[alternate\,\,angle]](https://tex.z-dn.net/?f=4%3D110%5E%7B0%7D%5C%2C%5C%2C%3B%5Balternate%5C%2C%5C%2Cangle%5D)

And, as 1,2,3,4 are vertical angles and 2 = 4 = 110°
1 = 3 = 180° - 110° = 70°
Hope you have understood this.....
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Step-by-step explanation:
Given that,
DE = 8x - 13
EF = 5x + 17
DF = x + 21
Also,
DE = EF
which means that,
8x - 13 = 5x + 17
8x - 5x = 17 + 13
3x = 30
x = 30/3
x = 10
Now,
DE = 8x - 13 = 8×10 - 13 = 80 - 13 = 67cm
EF = 5x + 17 = 5×10 + 17 = 50 + 17 = 67cm
DF = x + 21 = 10 + 21 = 31cm
5/6 is 1/6 more than 4/6. All you had to do is subtract 4/6 from 5/6 to get <u><em>1/6</em></u>.
Answer:
Bed A --- Third Option
Bed B --- Fifth Option
Step-by-step explanation:
Flower Bed A)
The formula for circumference is:

The diameter of A is 10 feet. So, its radius is 5 feet.
Substitute 5 for r. So, the circumference of Bed A is:

The formula for the area of a circle is:

Substitute 5 for r:

Square and simplify:

So, the circumference of Bed A is 10π feet and its area is 25π square feet.
Therefore, match Bed A to the third option.
Flower Bed B)
The radius of Bed B is 6 feet. Again, we can use the circumference and area formulas. Substitute 6 for r for circumference:

Multiply:

Substitute 6 for r for the area formula:

Square and simplify:

So, Bed B has a 12π feet circumference and a 36π square feet area.
Therefore, match Bed B to the fifth option.
And we're done!