To solve the problem, we need to use the relation between the angles to find a relation involving x. Then we need to solve for x and use that value to determine the measure of the desired angle.
The diagram shows you ...
... ∠KIJ + ∠JIH = ∠KIH
The problem statement tells you ∠KIJ = ∠JIH, so we can substitute ∠JIH in the above equation to get
... ∠JIH + ∠JIH = ∠KIH
... (4x+3) + (4x+3) = (12x)
... 8x +6 = 12x
... 6 = 4x . . . . . . . subtract 8x
Since we want to know the value of 12x, we can go directly there
... 18 = 12x . . . . . . multiply the above equation by 3
m∠KIH = 18°
Answer:
12 inches
Step-by-step explanation:
A=0.5bh
A=0.5xh
60=0.5*10*x
60=5x
5x=60
x=12
Step-by-step explanation:
A≈417.63 is your answer
Answer:
6) 6
9) 40
10)
11) 13
Step-by-step explanation:
6)A right triangle rule: if 2 legs are equal, the hypotenuse is the length of that leg*
9) Pythagorean Theorem
We know the hypotenuse (41) so we substitute that for c and 9 for b now we need to find a
which gives us 40
10) same with #6 but we do the opposite. SInce we have the hypotenuse, we can divide that by because we know that if 2 legs are equal, the hypotenuse is multiplied by . Multiply the numerator and denominator by because we can't have a square root in the denominator.
11) like #9 we have the a and b but we need to find c
a=5 b=12 c=r
so which gives us 13
The first sentence is not true in general. Consider the equation
. There are no solutions. Now consider
. There is only one solution,
.
But whatever. You're asked to demonstrate that
has two solutions (which is true; the right hand side must be a positive integer in order to have two solutions). This follows immediately from the definition of absolute value, which says
So suppose
. Then
Now suppose
. Then
So two solutions to
are
.