Astt: Angle Sum Tri Theorem
Answer:
x= −1/3 y+5/3
Step-by-step explanation:
Let's solve for x.
y=−3x+5
Step 1: Flip the equation.
−3x+5=y
Step 2: Add -5 to both sides.
−3x+5+−5=y+−5
−3x=y−5
Step 3: Divide both sides by -3.
−3x
−3
=
y−5
−3
x=
−1
3
y+
5
3
Answer:
Step-by-step explanation:
It is known that,
<em>'Vertical stretch, stretches the function up and down towards the y-axis'.</em>
The general form of vertical stretch is given by 'kf(x)', where k>1 is the factor by which function is stretched.
As, we have the function 
which is stretched by a factor of 4.
Thus, the new function will be .
Hence, the equation for the vertical stretch is .
Answer:
5) P (arrive) + P (not arrive) = 100% Complements
80% + P( not arrive) = 100% Substitute thr ralees
P ( not arraive) = 100% - 80% Isolate the needed
P ( not arrive) = 20%
therefor, the probability of not arriving on time is:-
20%, or 0.20, or 1/5
The complements of arriving on time is not arriving on time.
The probability is equal to 100%
<u>--------------------------------</u>
<u>hope it helps..</u>
<u>have a great day!</u>
4/3 of the area of the larger hexagon to the area of the smaller hexagon
Let the sides of the interior hexagon be 2 cm long, then this hexagon is made up of 6 equilateral triangles of side = 2.
The area of this hexagon = 6 * 1 * sqrt3 = 6 sqrt3 ( as the triangle is made up of 2 60-30-90 triangles)
The exterior hexagon is made up of 6 equilateral triangles with altitude 2 and the area = 6 * 2 * (2 / sqrt3 ) = 24 / sqrt3
area exterior hex / interior hex = 24 / sqrt3 * 1 / 6sqrt3 = 24/18
= 4/3
Required ratio = 4/3 answer
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