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:
A)10.25 cm ; B)5 square cm
Step-by-step explanation:
A)
Formula:
p=(a+b+c) [p= perimeter ; a,b , and c are the side lengths.]
∴The perimeter of the triangle =(4+2.75+3.5) cm
=10.25 cm
B)
Formula:
A = 1/2 . b .h [A=area ; b= base ; h= height]
∴The area of the triangle = (1/2 . 4 . 2.5) square cm [b=4 ; h=2.5]
=5 square cm
Answer:
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Step-by-step explanation:
<h3>
Answer: 1/8</h3>
Explanation:
Pick any term and subtract off the previous term to get the common difference.
So,
13/40 - 1/5 = 13/40 - 8/40 = (13-8)/40 = 5/40 = 1/8
Or
9/20 - 13/40 = 18/40 - 13/40 = (18-13)/40 = 5/40 = 1/8
The positive common difference value indicates this arithmetic sequence is increasing.
Here, first we need to calculate for Slope:
m = y2-y1 / x2-x1
m = -1-(-4) / -4-(-2)
m = 3 / -2
m = -3/2
Now, y - y1 = m(x - x1)
y + 1 = -3/2(x + 4)
y + 1 = -3/2x - 6
y = -3/2x - 7
In short, Your Equation would be: y = -3/2x - 7
Hope this helps!
