<span>the correct question is
A triangle whose angles have measures x x+5 and x+10.</span><span>How do you find the measure of each angle?
we know that
The </span><span>Sum of internal angles of any triangle = </span><span>180<span>∘
so
[x+(x+5)+(x+10)]=180---------------> 3x+15=180----------> 3x=165-------> x=55</span></span>°
the answer is
the measure of each angle is
x=55°
x+5=60°
x+10=65°
Answer:
29.2
Step-by-step explanation:
Mean = 21.4
Standard deviation = 5.9%
The minimum score required for the scholarship which is the scores of the top 9% is calculated using the Z - Score Formula.
The Z- score formula is given as:
z = x - μ /σ
Z score ( z) is determined by checking the z score percentile of the normal distribution
In the question we are told that it is the students who scores are in the top 9%
The top 9% is determined by finding the z score of the 91st percentile on the normal distribution
z score of the 91st percentile = 1.341
Using the formula
z = x - μ /σ
Where
z = z score of the 91st percentile = 1.341
μ = mean = 21.4
σ = Standard deviation = 5.9
1.341= x - 21.4 / 5.9
Cross multiply
1.341 × 5.9 = x - 21.4
7.7526 = x -21.4
x = 7.7526 + 21.4
x = 29.1526
The 91st percentile is at the score of 29.1526.
We were asked in the question to round up to the nearest tenth.
Approximately, = 29.2
Step-by-step explanation:
Answer:
3 × (2 + 3 + 5)
Step-by-step explanation:
<span>Simplifying
2x + -1y = 9
Solving
2x + -1y = 9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'y' to each side of the equation.
2x + -1y + y = 9 + y
Combine like terms: -1y + y = 0
2x + 0 = 9 + y
2x = 9 + y
Divide each side by '2'.
x = 4.5 + 0.5y
Simplifying
x = 4.5 + 0.5y
Hope this helps :)
~I tried to space it out so it wont look like a bunch of mess scrambled up xD~</span>
375L-240L=135L
135÷0.6=81
The pump must work for 81 min or 1hr and 21 min until the tank reaches 240L