Answer: The answer is -80
Step-by-step explanation:
2(2^2)+(3)(2)(−4)−4(−4)^2
2(2^2)+(3)(2)(−4)−4(−4)^2
=−80
By ASA postulate it can be say that the triangle ABC and triangle MRQ are congruent
<h3>What is Angle Sum Property?</h3>
The sum of all three angles(interior) of a triangle is 180 degrees, and the exterior angle of a triangle measures the same as the sum of its two opposite interior angles.
Using Angle Sum Property, in ΔMRQ
<M + <R + <Q= 180
<M + 42 + 85 = 180
<M = 180 -42
<M= 53°
Now, In ΔMRQ and ΔABC
<A= <R ,
<B = <M
AB = MR
Hence, By ASA criteria ΔMRQ ≅ ΔABC
Learn more about this concept here:
brainly.com/question/3486366
#SPJ1
<span>
A= {a,b,c} . Since this set has 3 elements, the number
of its total subset is 2³ = 8 (including the Ф element):
Here below all the subsets of {a,b,c}, with their related probabilities, knowing that P(a) = 1/2 ; P(b) = 1/3 and P(c) = 1/6
{a} </span>→→→→1/2
<span>{b} </span>→→→→1/3
<span>{c} </span>→→→→1/6
<span>{a,b} </span>→→→→1/2 + 1/3 = 5/6
<span>{a,c} </span>→→→→1/2 + 1/6 = 2/3
<span>{b,c} </span>→→→→1/3 + 1/6 = 1/2
<span>{a,b,c} </span>→→→→1/2 + 1/3 + 1/6 = 1
<span>{∅} </span>→→→→0 =0
Answer:
F
Step-by-step explanation:
Area of sector=pi*r^2*(theta/360) = pi*r^2*(45/360)
18*pi=pi*r^2*(1/8), r=12. Circumference is 24*pi
Answer:
solution is
[-3,-1]
Step-by-step explanation:
we are given
Firstly, we will find critical values
so, let's assume it is equal
now, we can break absolute sign
For :
we can solve for x
Add both sides by 20
Divide both sides by -10
and we get
For :
we can solve for x
Subtract both sides by 20
Divide both sides by 10
and we get
so, critical values are
now, we can draw a number line and locate these values
and then we can check inequality on each intervals
For :
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=-5
so, this is FALSE
For :
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=-2
so, this is TRUE
For :
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=0
so, this is FALSE
so, solution is
[-3,-1]