Answer:
the answer is roational symmetry.
Step-by-step explanation:
x^3y^3 + 343
The way the sum of cubes works is by taking the roots of each term and applying the formula.
The sum of cubes is as follows:
a^3 + b^3 = (a + b)(a^2 - ab + b^2)
In this case, we would display it like this:
x^3y^3 + 343 = (xy + 7)(x^2y^2 - 7xy + 49)
Answer:
u1 = 1
u6 = 31
un = 1 + 6(n - 1)
Step-by-step explanation:
Sn = 3n² - 2n
u1 = S1
3(1)² - 2(1)
3 - 2
1
u6 = S6 - S5
[3(6)² - 2(6)] - [3(5)² - 2(5)]
96 - 65
31
un = a + (n - 1)d
u6 = a + 5d
31 = 1 + 5d
5d = 30
d = 6
un = 1 + 6(n - 1)
In the triangle, the fact that wee are given 2AX = 3XD isn't enough to prove similarity.
<h3>How to explain the triangle?</h3>
a. In the question, we are given 2AX = 3XD. An arbitrary triangle AXB can be drawn where one extends AX and choose a point D on the extended line in order for 2AX = 3XD. Also, extend BX and choose a point C on the line so that 2BX = XC. Even though they both satisfy the condition, they're not similar.
b. We are given that AX/BX = DX/CX. When this is rearranged, we'll have AX/DX = BX/CX. In this case, let AX/DX = k. DX and AX will align upon rotation of 180°. The triangle can then be dilated by a factor of k. This brings about the mapping of triangle DXC to AXB. Therefore, the original triangle DXC is similar to AXB.
c. Lines AB and CD are parallel. Here, the dilation moves line CD onto line AB. Here, since the dilation moves D to a point on ray XA, D must move to A. Therefore, the rotation of triangle DXC is similar to AXB. Therefore, DXC is similar to AXB.
d. Here, angle XAB is congruent to angle XCD. This shows similarity and in this case, XCD is similar to XAB.
Learn more about triangles on:
brainly.com/question/28021872
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In order to solve for x you have to set x by itself, the first step is to add common like terms for example 3x and 2x are common like terms so lets add them up to get 5x-4=8 now add 4 to both sides because the only way to get rid of a negative is with a positve, now you have 5x=12. your final step is to divide 5 to both sides because the only way to get rid of a multiplication is with a division, this will leave x by itself and your answer will be x=12/5
Hope this helps
