Answer:
If its asking to translate by (-5,3) then the answer is the following.
A'(-2, 3)
B'(-1, 1)
C'(-4, 0)
$125 is a "must budget" so it will be the constant in the inequality
The fountain is $30 per hour. If they spend x hours, then their budget for fountain will be
fountain = 30x
The inequality
Their budget is maximum $250, that means they are able to spend less than or equal to $250
constant + fountain ≤ 250
125 + 30x ≤ 250
<em>This is the inequality expression</em>
The representation of √14 on number line is shown below.
<h3>What is Number line?</h3>
A visual representation of numbers on a straight line is known as a number line. A number line's numerals are arranged in a sequential manner at equal intervals along its length. It is typically represented horizontally and can extend indefinitely in any direction.
On a number line, the numbers rise as you move from left to right and fall as you move backwards from right to left.
Given:
For drawing number line of root number we will use spiral method.
So, Using Pythagoras theorem
H² = P² + B²
H² = (√13)² + 1²
H² = 14
H = √14
So, we will take Perpendicular 1 unit and base of √13 unit.
Learn more about number line here:
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Answer: A
Step-by-step explanation: when Constructing a confidence interval, it is important to take note of the margin of error which is given by the formulae below
Margin of error = critical value × σ/√n.
Where n is the sample size.
As we can see that the critical value is a constant and the population standard deviation.
Hence there is an inverse relationship between margin of error and sample size, which implies that a large sample size produces a small margin of error.
If the margin of error is small, it means the sample size will increase the like hood that the sample is a good representation of the population.
Answer:
The measure of ∠EFG is 52°
Step-by-step explanation:
Given line m is parallel to line p. m∠HEF = 39º and m∠IGF = 13º.we have to find m∠EFG.
In ΔJFG,
By angle sum property of triangle, which states that sum of all angles of triangle is 180°
m∠FJG+m∠JGF+m∠JFG=180°
⇒ 39°+13°+m∠JFG=180°
⇒ m∠JFG=180°-39°-13°=128°
As JFE is a straight line ∴ ∠JFG and ∠EFG forms linear pair
⇒ m∠JFG+m∠EFG=180°
⇒ 128°+m∠EFG=180°
⇒ m∠EFG=52°
The measure of ∠EFG is 52°