Answer:
(D) 2
Step-by-step explanation:
The scale factor of the enlargement of ΔABC to ΔA'B'C' is given by the ratio of the length of the corresponding sides of ΔA'B'C' and ΔABC
Therefore, we have;
![The \ scale \ factor = \dfrac{Length \ of \overline {B'C'}}{Length \ of \overline {BC}} = \dfrac{Length \ of \overline {A'C'}}{Length \ of \overline {AC}} = \dfrac{Length \ of \overline {A'B'}}{Length \ of \overline {AB}}](https://tex.z-dn.net/?f=The%20%5C%20scale%20%5C%20factor%20%3D%20%5Cdfrac%7BLength%20%5C%20of%20%5Coverline%20%20%7BB%27C%27%7D%7D%7BLength%20%5C%20of%20%5Coverline%20%7BBC%7D%7D%20%3D%20%20%5Cdfrac%7BLength%20%5C%20of%20%5Coverline%20%20%7BA%27C%27%7D%7D%7BLength%20%5C%20of%20%5Coverline%20%7BAC%7D%7D%20%3D%20%20%5Cdfrac%7BLength%20%5C%20of%20%5Coverline%20%20%7BA%27B%27%7D%7D%7BLength%20%5C%20of%20%5Coverline%20%7BAB%7D%7D)
![\dfrac{Length \ of \overline {B'C'}}{Length \ of \overline {BC}} = \dfrac{2 \ units}{1 \ unit} = 2](https://tex.z-dn.net/?f=%5Cdfrac%7BLength%20%5C%20of%20%5Coverline%20%20%7BB%27C%27%7D%7D%7BLength%20%5C%20of%20%5Coverline%20%7BBC%7D%7D%20%3D%20%20%5Cdfrac%7B2%20%5C%20units%7D%7B1%20%5C%20unit%7D%20%3D%202)
![\dfrac{Length \ of \overline {A'C'}}{Length \ of \overline {AC}} = \dfrac{4 \ units}{2 \ units} = 2](https://tex.z-dn.net/?f=%5Cdfrac%7BLength%20%5C%20of%20%5Coverline%20%20%7BA%27C%27%7D%7D%7BLength%20%5C%20of%20%5Coverline%20%7BAC%7D%7D%20%3D%20%20%5Cdfrac%7B4%20%5C%20units%7D%7B2%20%5C%20units%7D%20%3D%202)
![\dfrac{Length \ of \overline {A'B'}}{Length \ of \overline {AB}} = \dfrac{2 \cdot \sqrt{5} \ units}{\sqrt{5} \ units} = 2](https://tex.z-dn.net/?f=%5Cdfrac%7BLength%20%5C%20of%20%5Coverline%20%20%7BA%27B%27%7D%7D%7BLength%20%5C%20of%20%5Coverline%20%7BAB%7D%7D%20%3D%20%20%5Cdfrac%7B2%20%5Ccdot%20%5Csqrt%7B5%7D%20%20%5C%20units%7D%7B%5Csqrt%7B5%7D%20%20%5C%20units%7D%20%3D%202)
Therefore, the scale factor = 2
50:40=x:35
5/4=x/35
times both sides by (4*35)
5*35=4x
175=4x
divide both sides by 4
43.75=x
costs $43.75
Answer:
4. None of the above
Step-by-step explanation:
Reflection is a type of transformation that can be used to change the orientation of a given figure or shape without changing it size and shape.
When triangle STU is reflected across ST, the image U coincides with J because the two are on the opposite side and at the same distance from ST. Therefore, J is like the image of U.
Ok so pythagorean theorem is
a^2+b^2=c^2
plug it in
8^2+15^2=17^2
64+225=289
289=289
yass it works so that means they do make a right triangle
yes, they make a right triangle because they're a pythagorean triple and pythagorean theorem works when you plug the numbers in.