The absolute value of -12.5 is?
|-12.5| = 12.5
The absolute value of a negative number is the number that is exactly opposite on the number line, being a positive number. A positive number's absolute value is always the same thing, positive. Examples:-
|10| = 10
|-10| = 10
|-8.5| = 8.5
|8.5| = 8.5
|-12.5| = 12.5
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.
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He had $450 dollars in his savings account. If 1/6 is equal to 75, you will multiply 75 by 6 to get the full amount, which is $450. I hope this helps!
