Problem 44
The term "bisect" means "cut in half".
Since BD bisects angle ABC, this means the smaller angles ABD and DBC are congruent.
angle ABD = angle DBC
x+15 = 4x-45
15+45 = 4x-x
60 = 3x
3x = 60
x = 60/3
x = 20
<h3>Answer: x = 20</h3>
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Problem 45
We use the same idea as the previous problem
angle ABD = angle DBC
2x+35 = 5x-22
35+22 = 5x-2x
57 = 3x
3x = 57
x = 57/3
x = 19
<h3>Answer: x = 19</h3>
25 hope it helps have a great day :)
Answer:
Following are the solution to the given points:
Step-by-step explanation:
For point a:
For point b:
For point c:
For point d:
For point e:
For point f:
Answer:
9 cm.
Step-by-step explanation:
Let the height of the pyramid be h cm, then the height of the cuboid is (15 - h) cm.
Volume of the pyramid:
= 1/3 * h * s^2 where s is the length of a side of the square base.
= hs^2/3 cm^3
Volume of the cuboid:
= s^2(15 - h).
So we have:
hs^2/ 3 = 300.......................(1)
s^2(15 - h) = 600..................(2)
From equation (1) :
h s^2 = 900
s^2 = 900/h
Now substitute for s^2 in equation (2) :
(900/h)(15 - h) = 600
Multiply through by h:
900(15 - h) = 600h
13500 - 900h = 600h
1500h = 13500
h = 9 cm (answer). brainliest?
9 fish (:
5/6 of 54 is 45, so you would need to subtract 45 from 54, which is 9.
I hope you find this useful, and, if so, please mark as brainliest :P
Good luck!
