Step-by-step explanation:
5x-(x+3)=1/3(9x+18)-5
5x-x+3=3x+6-5
1/3 multiplied by 9/1 is three because if you take away the ones and put your problem like this: 9/3, you'll get 3.
1/3 multiplied by 18/1 is six because if you take away the ones and switch to division, it'll look like this: 18/3. 18/3 is 6.
5x-1x+3=3x+6-5
If a variable is alone, you should - in this case - put a one before it, but if the variable is alone you should know that it's automatically a one.
4x+3=3x-1
6-5=1 Simple math problem, probably self explanatory
4x+3=3x-1
Subtract 3x from 4x and you'll get 1x because 4-3 is 1.
1x+3=-1
Then you add 3 to -1 which is 2.
The answer is 1x=2
Or you could've done:
4x+3=3x-1
-4x -4x
3=-1x-1
+-1 +-1
2=1x
It's the same answer, but all I did was subtract the 4x from the 4x and 3x.
Answer:
The correct options are;
D. Triangles ABC and A'B'C' are congruent
E. Angle ABC is congruent to angle A'B'C'
F. Segment BC is congruent to segment B'C'
H. Segment AQ is congruent to segment A'Q'
Step-by-step explanation:
The given information are;
The angle of rotation of triangle ABC = 60°
Therefore, given that a rotation of a geometric figure about a point on the coordinate plane is a form of rigid transformation, we have;
1) The length of the sides of the figure of the preimage and the image are congruent
Therefore;
BC ≅ B'C'
2) The angles formed by the sides of the preimage are congruent to the angles formed by the corresponding sides of the image
Therefore;
∠ABC ≅ ∠A'B'C'
3) The distances of the points on the figure of the preimage from the coordinates of the point of rotation are equal to the distances of the points on the figure of the image from the coordinates of the point of rotation
Therefore;
Segment AQ ≅ A'Q'.
Answer:
4a³+3a-3
Step-by-step explanation:
You can solve this by combining like terms. Add the numbers with the correct exponents together.
-a³+5a³
4a-a
Thus, the answer is
4a³+3a-3
The radius of a circle should be placed in the Z section making the answer A.
