Answer:
<u>A: Congruent</u>
Step-by-step explanation:
Answer: 154
<span>In one side of the glass window measuring 3 ½ feet, we can make (3.5/.25) exactly 14 pieces of a ¼ foot.</span>
The other side of the glass window which measures 2 ¾ feet we can produce (2.75/,25) or 11 pcs of a ¼ foot.
<span>The artist used (14*11) or 154 colored squares.</span>
Answer:
Volume of water required to fill the pyramid is rd of the water required to fill the prism completely.
Step-by-step explanation:
Let Mr Jackson has an empty rectangular pyramid and rectangular prism.
Height and base of both are congruent.
So volume of rectangular pyramid
Volume of the rectangular prism = (Area of the base)(height)
[ Since ]
Therefore, amount of water required to fill the pyramid is rd of the water required to fill the prism completely.
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.....
ask me if you have any confusion.....
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Answer:
y = (1/3)x + 1
Step-by-step explanation:
You first find the slope:
(2 - (-1))/(3 - (-6)) =
3/9 =
1/3
This means the equation of the line is y = (1/3)x + b, where b is a real number.
Plug in either of the points to find the value of b:
-1 = (1/3)(-6) + b -->
-1 = -2 +b -->
1 = b
This means the equation is y = (1/3)x + 1
