As they are similar figures,we can use the ratio of the side to find out the value of z.
The only side that both have the value indicated is 4 and 6,therefore we would use it to find the ratio.
The eqaution would be:
6/4 = z/8
3/2 = z/8
3×8 = 2z
z = 24/2
z = 12
Thus the value of z is 12.
Hope it helps!
Answer:

Step-by-step explanation:
we have the points
(-3,1) and (0,3)
step 1
Find the slope m of the line
The formula to calculate the slope between two points is equal to

substitute the values


step 2
Find the equation of the line in slope intercept form

we have

----> the y-intercept is the point (0,3)
substitute the values

step 3
Find the equation of the inequality
we know that
The slope is positive
Everything to the left of the line is shaded ( The inequality is of the form y > ax+b or y ≥ ax+b)
Is a dashed line (The inequality is of the form y > ax+ b or y < ax+b)
therefore
The equation of the inequality is of the form y > ax+b
The inequality is

see the attached figure to better understand the problem
1908 Siberian Asteroid is known to be 130 feet/ 18 meters in
diameter while on the other hand Chelyabinsk Asteroid is known to be 59 feet/40
meters in diameter. To find how many times Siberian Asteroid is bigger than
Chelyabinsk Asteroid we just have to divide Siberian by Chelyabinsk here we
get:
10/59=2.2 = 1908 Siberian Asteroid is 2.2 times bigger than
Chelyabinsk Asteroid.
Answer: 0.720
Step-by-step explanation:
0.720 = 18/25
0.51 = 51/100
0.144 = 18/125
0.023 = 23/1000