Answer: P(3) is True
Step-by-step explanation:
The given statement is an inequality denoted as P(x). To find out which of the options is true you have to evaluate each given value of X in the inequality and perform the arithmetic operations, then you have to see if the expression makes sense.
For P(0): Replace X=0 in 2x+5>10
2(0)+5>10
0+5>10
5>10 is false because 5 is not greater than 10
For P(3): Replace X=3 in 2x+5>10
2(3)+5>10
6+5>10
11>10 is true because 11 is greater than 10
For P(2): Replace X=2 in 2x+5>10
2(2)+5>10
4+5>10
9>10 is false
For P(1): Replace X=1 in 2x+5>10
2(1)+5>10
2+5>10
7>10 is false
Answer:
3
Step-by-step explanation:
to evaluate substitute x = 4 into the rational expression, that is
= 
= 3
Answer: 6.75 feet
Step-by-step explanation:
Since, the ratio of the side of the similar triangle = 2 : 3
Thus, by the property of similar triangle,
The ratio of the altitudes of the triangle = 2 : 3
Let the altitude of smaller triangle = 2 x
And, the altitude of larger triangle = 3 x
Where x is any number.
According to the question,
2 x = 4.5
x = 2.25
Therefore, the altitude of larger triangle = 3 × 2.25 = 6.75 feet
