Answer:
Step-by-step explanation:
mP=5x-14
mQ=x-5
mR=2x-9
we know that all the angles in a triangle= 180
that means (5x-14)+(x-5)+(2x-9)=180
5x-14+x-5+2x-9=180 we add the variables and the numbers
8x=180+28
8x=108
x=26
mP=130-14=116
mQ=26-5=21
mR=43
Answer:
The correct answer is first option 60%
Step-by-step explanation:
The radius of a circle is inscribed in an equilateral triangle with side a = a/2√3
<u>To find the area of equilateral triangle</u>
Here side be 'a'
Area of equilateral = √3a²/4
<u>To find the area of circle</u>
Here radius = a/2√3
Area = πr²
= π(a/2√3)
= 3.14a²/12
<u>To find the probability</u>
probability = area of circle/area of triangle
= 3.14a²/12/ √3a²/4
= 3.14/3√3
= 0.6043 ≈ 60.43 % 60 %
The correct answer is first option 60%
<span>Check for the GCF first. ...Multiply the quadratic term and the constant term. ...Write down all the factors of the result, in pairs. ...<span>From this list, find the pair that adds to produce the coefficient of the linear term.</span></span>
Answer: x = -2
Step-by-step explanation:
The correct answer is Choice B: 0.3098.
To find the answer, you have to use a normal distribution table. Look up the percents for each z-score and subtract them to find the region between.
z = 1.92 the percent is 0.9726
z = 0.42 the percent is 0.6628
0.9726 - 0.6628 = 0.3098
