Are the triangles below similar? Is yes, explain how you know. If not, explain.
2 answers:
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Answer:
one of them has a value that is ten times the value of the other one
Step-by-step explanation:
The most-significant 4 has a value of 40,000.
The least-significant 4 has a value of 4,000.
The most-significant 4 has a value that is 40,000/4,000 = 10 times that of the least-significant 4.
_____
The basis of a place-value number system is that the value of a digit is multiplied by the value of the base when the digit is placed one more place to the left in the number. That is, the digit in the 5th place to the left of the decimal point will have a value that is 10 times the value of the same digit in the 4th place to the left of the decimal point.
Answer:
ST = 12.2
Step-by-step explanation:
See the attached diagram of the triangle.
Here, Δ RST, Δ RSV and Δ STV all are right triangles.
If we assume that, ST = x and SR = y, then
From Δ RSV and Δ STV we get,
SV² = RS² - RV² = ST² - VT²
⇒ y² - 4.2² = x² - 10.3²
⇒ x² - y² = 88.45 .......... (1)
Now, from Δ RST, we have
ST² + SR² = RT²
⇒ x² + y² = (10.3 + 4.2)² = 210.25 .............. (2)
Now, adding equations (1) and (2) we get,
2x² = 298.7
⇒ x² = 149.35
⇒ x = 12.2 (Rounded to the nearest tenth}
So, ST = 12.2 (Answer)
