The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.
Step-by-step explanation:
The given is,
a = 5
b = x - 1
c = x
Step:1
Pythagorean theorem is,
................................(1)
( It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides )
From the given values the equation (1) becomes,
( 
)
25 + ( 
+ 1 - 2x ) =
25 + 1 -2x = 0 ( ∵ Eliminate in both sides)
26 = 2x
x = 13
Step:2
From the values of x,
a = 5
b = ( 13 - 1 ) = 12
c = 13
Result:
The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.
The answer is -(3x+1)(x+5)
Answer is 81
17-8= 9
9 squared is 81
Equation is sqrt81 + 8 = 17
<h3>
Answer: -1</h3>
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Explanation:
First we need to find the slope of this given line.
The two points on here are (0,-3) and (3,0)
Apply the slope formula
m = (y2-y1)/(x2 - x1)
m = (0-(-3))/(3-0)
m = (0+3)/(3-0)
m = 3/3
m = 1
The slope of the given line is 1. The negative reciprocal of this is -1, which is the perpendicular slope.
Side Note: Any two perpendicular lines always have their slope multiply to -1, as long as neither line is vertical.
Answer:
∠A = 78° , ∠B = 39° and ∠C = 63°
Step-by-step explanation:
Let the measure of angle A = m°
So, according to the question
Angle B = (m/2)°
Angle C = (m - 15)°
Now by ANGLE SUM PROPERTY, the sum pf all angles of a triangle is 180°
⇒ ∠A +∠B + ∠C = 180°
or, m + (m/2) + (m -15) = 180°
Solving for m , we get 2m + (m/2) = 180 + 15
or,
or, m = 78°
Hence ∠A = 78°
∠B = (m/2) = (78/2) = 39°
and ∠C = (m -15) = 78 - 15 = 63°
