Answer:
- A. segment A double prime B double prime = segment AB over 2
Step-by-step explanation:
<u>Triangle ABC with coordinates of:</u>
- A = (-3, 3), B = (1, -3), C = (-3, -3)
<u>Translation (x + 2, y + 0), coordinates will be:</u>
- A' = (-1, 3), B = ( 3, -3), C = (-1, -3)
<u>Dilation by a scale factor of 1/2 from the origin, coordinates will be:</u>
- A'' = (-0.5, 1.5), B'' = (1.5, -1.5), C= (-0.5, -1.5)
<u>Let's find the length of AB and A''B'' using distance formula</u>
- d = √(x2-x1)² + (y2 - y1)²
- AB = √(1-(-3))² + (-3 -3)² = √4²+6² = √16+36 = √52 = 2√13
- A''B'' = √(1.5 - (-0.5)) + (-1.5 - 1.5)² = √2²+3² = √13
<u>We see that </u>
<u>Now the answer options:</u>
A. segment A double prime B double prime = segment AB over 2
B. segment AB = segment A double prime B double prime over 2
- Incorrect. Should be AB = A''B''*2
C. segment AB over segment A double prime B double prime = one half
- Incorrect. Should be AB/A''B'' = 2
D. segment A double prime B double prime over segment AB = 2
- Incorrect. Should be A''B''/AB = 1/2
CI is congruent to AI
Step-by-step explanation:
Congruent means they are identical, CI and AI are identical
Answer:
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Step-by-step explanation
jliuhyfvkjuyfghvkj,hfgjhvkm,jhf
Number 4 is $35, hope i could help:)
Given expression is sin(45)sin(15)
this expression best matches with left side of the formula:
2 sin(A) sin(B)= cos(A-B) - cos(A+B)
so we can plug given angles 45 and 15 there
2 sin(45) sin(15)= cos(45-15) - cos(45+15)
2 sin(45) sin(15)= cos(30) - cos(60)
sin(45) sin(15)= [cos(30) - cos(60)]/2
We are getting negative sign and cos in the solution while none of the given choices have same situation so answer will be none of them.
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For cos(75)-cos(15), we will use formula:
Now plug the given angles
Hence choice B is correct.
