Answer:
The quotient is -3
Step-by-step explanation:
we have
![\frac{a-3}{7}:\frac{3-a}{21}](https://tex.z-dn.net/?f=%5Cfrac%7Ba-3%7D%7B7%7D%3A%5Cfrac%7B3-a%7D%7B21%7D)
Multiply in cross
![\frac{(a-3)21}{(3-a)7}](https://tex.z-dn.net/?f=%5Cfrac%7B%28a-3%2921%7D%7B%283-a%297%7D)
Simplify
Remember that
![\frac{21}{7}=3](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B7%7D%3D3)
substitute
![\frac{(a-3)3}{(3-a)}](https://tex.z-dn.net/?f=%5Cfrac%7B%28a-3%293%7D%7B%283-a%29%7D)
we know that
![(3-a)=-(a-3)](https://tex.z-dn.net/?f=%283-a%29%3D-%28a-3%29)
substitute
![\frac{(a-3)3}{-(a-3)}=-3](https://tex.z-dn.net/?f=%5Cfrac%7B%28a-3%293%7D%7B-%28a-3%29%7D%3D-3)
The theorem would be: If in a triangle two angles equal one another, then the sides opposite the equal angles also equal one another.
This works for any triangle in fact, not just an isosceles (obviously, the theorem implies that the triangle in question is isosceles but you don’t need to know that in advance)
For this case, the first thing you should know is that there are two possible cases:
Case 1:
If 0 <k <1 then there is a reduction of the orignal figure.
Case 2:
If k> 1 then there is an expansion of the originial figure.
Therefore, in this case, the scale factor that represents a reduction is given by:
k = 3/4 = 0.75 (0 <k <1)
Answer:
the dilation that would represent a reduction is:
C. k = 3/4
Answer:
c) 30
Step-by-step explanation:
since the lines are parallel, 75° = 2x + 15°
this is because when two parallels lines are intersected by the same line, all respective angles are equal. Also, opposite angles on a line are equal too.
So now that u have 75 = 2x + 15, just solve for x by simplifying:
75 = 2x + 15
60 = 2x
30 = x
so the answer is c) 30
hope this helps!
The answer is SSS ...... zzzz