The answer is 32x+8
————
x+2
Step-by-step explanation:
In triangles BAD and BCD ,
BD=BD (common)
angle BDA= angle BCD {90°each(given)}
AD=DC (given)
.•. traingle BAD is congruent to triangle BCD (SAS criterion)
Hence , angle A = angle C (CPCT)
The value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.
<h3>How to determine the dimensions?</h3>
The given parameters are:
Base = 5(x+3)
Height = 2(x+9)
Perimeter = 108
The perimeter of a rectangle is
P = 2 *(Base + Height)
So, we have:
2 *(5(x + 3) + 2(x + 9)) = 108
Divide both sides by 2
5(x + 3) + 2(x + 9) = 54
Open the brackets
5x + 15 + 2x + 18 = 54
Evaluate the like terms
7x = 21
Divide by 7
x = 3
Substitute x = 3 in Base = 5(x+3) and Height = 2(x+9)
Base = 5(3+3) = 30
Height = 2(3+9) = 24
Hence, the value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.
Read more about perimeter at:
brainly.com/question/24571594
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Answer:
yields 2 real roots
Step-by-step explanation:
To find the number of real roots for a quadratic, we apply the discriminate. The discriminate is the inside portion of the square root from the quadratic formula.
• yields 2 real roots
• 
yields 1 real root
• [tx]b^2-4ac<0[/tex] yields no real roots
Example:
where a=4, b=-7, and c=2
.
It has 2 real roots
Answer:
6/3 as an Improper Fraction.
2 as a whole number.
Step-by-step explanation:
2/3 multiplied by 3 is as shown below.
2/3 + 2/3 + 2/3.
As an Improper Fraction, the sum would be expressed as:
2 + 2 + 2 = 6. 6/3
2/3 • 3 = 2, since 6/3 = 2 as well.
