ax²+bx+c=0
4a²x²+4abx+4ac=0
4a²x²+4abx=-4ac
4a²x²+4abx+b²=b²-4ac
(2ax+b)²=b²-4ac
If two triangles are similar then the
corresponding sides are in proportion. Thus,
AB / AU = BC / UV = AC / AV
AB / (20x+108) = 703 / 444
Where AB is equivalent to:
AB = AU + UB
AB = 20x + 108 + 273
AB = 20x + 381
Therefore going back to the first equation:
(20x + 381) / (20x + 108)
= 703/444
444 (20x + 381) = 703 (20x + 108)
8880x + 169164 = 14060x + 75924
14060x - 8880x = 169164 – 75924
5180 x = 93240
x = 93240 / 5180
<span>x = 18</span>
Answer:
C; right answer on Khan Academy
Step-by-step explanation:
Answer:
<u>Figure A</u>
Step-by-step explanation:
See the attached figure which represents the given options
We are to select the correct pair of triangles that can be mapped to each other using a translation and a rotation about point A.
As shown: point A will map to point L, point R will map to point P and point Q will map to point K.
we will check the options:
<u>Figure A</u>: the triangle ARQ and LPK can be mapped to each other using a translation and a rotation about point A.
<u>Figure B: </u> the triangle ARQ and LPK can be mapped to each other using a translation and a reflection about the line RA.
<u>Figure C:</u> the triangle ARQ and LPK can be mapped to each other using a translation and a reflection about the line QA.
<u>Figure D:</u> the triangle ARQ and LPK can be mapped to each other using a rotation about point A.
So, the answer is figure A
<u>The triangle pairs of figure A can be mapped to each other using a translation and a rotation about point A.</u>