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kimlyn58p0wyn0
17.06.2021 •
Mathematics
Triangles ABC and XYZ are similar figures, because angles A, B, and C are congruent to angles X, Y, and Z, respectively. If side AC equals 3 cm, BC equals 9 cm, and XZ equals 15 cm, what is the length of side YZ?
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Ответ:
45cm
Step-by-step explanation:
Since they are simliar, they are proportional.
SO, you can do AC/XZ = BC/YZ
You can also see that XZ is 5 times larger than AC
SO multiply BC by 5.
Ответ:
Option A is correct
Step-by-step explanation:
Given that:
70% of x.
⇒![\frac{70}{100} \times x](/tpl/images/1174/9861/22ccc.png)
⇒![\frac{7x}{10}](/tpl/images/1174/9861/666a0.png)
Option A:
⇒![\frac{3x}{4}-\frac{x}{20}](/tpl/images/1174/9861/bdd75.png)
⇒![\frac{60x-4x}{80}](/tpl/images/1174/9861/339a6.png)
⇒![\frac{56x}{80}](/tpl/images/1174/9861/f3ee1.png)
Simplify:
⇒![\frac{7x}{10}](/tpl/images/1174/9861/666a0.png)
Option B:
⇒![\frac{3x}{4}-\frac{x}{10}](/tpl/images/1174/9861/8bab8.png)
⇒![\frac{30x-4x}{40}](/tpl/images/1174/9861/90535.png)
⇒![\frac{26x}{40}](/tpl/images/1174/9861/125ad.png)
Simplify:
⇒![\frac{13x}{20}](/tpl/images/1174/9861/0461d.png)
Option C:
⇒![\frac{6x}{10}](/tpl/images/1174/9861/9e5b7.png)
Simplify:
⇒![\frac{3x}{5}](/tpl/images/1174/9861/b56e9.png)
Option D:
⇒![\frac{x}{2}+\frac{x}{8}](/tpl/images/1174/9861/5c761.png)
⇒![\frac{5x}{8}](/tpl/images/1174/9861/1e026.png)
Therefore, only option which is equivalent to 70% of x is, Option A i.e![3(\frac{x}{4})-\frac{1}{2}(\frac{x}{10})](/tpl/images/1174/9861/cd94a.png)