Answer:

Step-by-step explanation:
5x-3>7
+3 to both sides
5x>10
divide 5 to both sides
x>2
Pythagoras Theorem:
hipotenuse²=leg₁²+leg₂²
First posible triangle:
hypotenuse=13 (13²=169)
leg₁=12 ( 12²=144)
leg₂=5 (5²=25)
13³=144 + 25
Answer:can be side lengths of a triangle
Second triangle:
hypotenuse=12.6 (12.6²=158.76)
leg₁=6.7 ( 6.7²=44.89)
leg₂=6.5 (6.5²=42.25)
leg₁²+leg₂²=44.89+42.25=87.14≠158.76
Answer: cannot be side lenghts of a triangle.
third triangle:
hypotenuse=13 (13²=169)
leg₁=12 ( 12²=144)
leg₂=11 (11²=121)
leg₁²+leg₂²=144+121=265≠169
Answer: cannot be side lenghts of a triangle.
fourth triangle:
hypotenuse=13 (13²=169)
leg₁=6 ( 6²=36)
leg₂=4 (4²=16)
leg₁²+leg₁²=36+16=52≠169
Answer: cannot be side lenghts of a triangle.
<u>Answer:</u>
The correct answer option is D. (x - 7) + 2.
<u>Step-by-step explanation:</u>
We are to determine whether which of the given options best describe the English expression:
<em>'two more than the quantity of a number minus seven'</em>
We can break this expression into smaller chunks to make it easier to translate.
1. two more than ---> +2
2. the quantity of a number ---> suppose the number to be 'x'
3. number minus 7 ---> (x - 7)
Combining these, we get (x - 7) + 2 so the correct answer option is D.
Answer:
This is an example of
C. simultaneous causality.
Step-by-step explanation:
Simultaneous causality eliminates the conclusion that is often taken for granted to the effect that one variable is a response variable while the other is an explanatory variable because the two variables, the price and the number of shares, influence each other at the same time. When more shares are traded than demanded in the stock market in any day, the price tends to go down, and vice versa.