Answer:
450 simple
Step-by-step explanation:
The bisector of the angle at A (call it AQ) divides the segment BC into segments BQ:QC having the ratio AB:AC. Use this fact to find x.
.. 9:15 = (2x -1):3x
.. 15(2x -1) = 9*3x . . . . . the product of the means equals the product of extremes
.. 30x -15 = 27x
.. 3x = 15
.. x = 5
___
According to the value of x, the bisector AQ divides the triangle into two isosceles triangles: ABQ, ACQ.
Step-by-step explanation:
We can prove that the triangles are congruent using the SAS method.
It's given that GH and JH are congruent (S)
Angle GHF and Angle IHJ are equal since they are vertically opposite (A)
It's given that FH and HI are congruent (S)
Thus, the triangles are congruent, which implies that the remaining sides are equal.
The equivalent expressions of 22c + 33d are (a), (c) and (e)
<h3>How to determine the equivalent expressions?</h3>
The expression is given as:
22c + 33d
Factor out 11 from the expression
11(2c + 3d)
Multiply by 1
1 * 11(2c + 3d)
Express 1 as -1 * -1
-1 * -1 * 11(2c + 3d)
Evaluate the product
(-11) * (-2c - 3d)
Also, we have:
22c + 33d
Multiply by 1
(22c + 33d) * 1
Express 1 as 3/3
(22c + 33d) * 3/3
Evaluate the product
(66c + 99d) * 1/3
Hence, the equivalent expressions are (a), (c) and (e)
Read more about equivalent expressions at:
brainly.com/question/27911936
#SPJ1
648 cm
To find the volume of a rectangular prism (such as the one in the picture) you would do:
V=L*W*H
So plugging the numbers in:
V=18*12*3
