Hi there!
√100=10
√1=1
√36=6
10-1+6
9+6
15
Hope this helps
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1 answer:
Answer:
The value of x in centimeters is 22.5 cm
Step-by-step explanation:
The corresponding sides of the similar triangles are proportion which means have equal ratios
∵ Δ ABC is similar to Δ FGH
∵ AB and FG are corresponding sides
∵ BC and GH are corresponding sides
∵ AC and FH are corresponding sides
→ That means the ratios between them are equal
∴ =
=
∵ AB = 6 cm and FG = 15 cm
∵ BC = 5 cm and GH = 12.5 cm
∵ AC = 9 cm and FH = x
→ Substitute them in the rule above to find x
∴ =
=
→ By using cross multiplication with the 1st and 3rd ratios
∵ 6 × x = 15 × 9
∴ 6x = 135
→ Divide both sides by 6 to find x
∵ =
∴ x = 22.5 cm
∴ The value of x in centimeters is 22.5 cm
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The 2nd term exists 12 and 7th term exceeds the 4th by 15 exists AP : 7,12,17,....
<h3>How to estimate the arithmetic progression?</h3>
Given : The second term exists 12th and the 7th term exceeds the 4th term by 15
The formula of the nth term :
Where d exists a common difference
n be the number of terms
a be the first term
Substitute the value of n = 2
Let, the second term exists 12
So, a + d = 12 ..........(1)
Substitute the value of n = 7
Substitute n = 4
We are given that the 7th term exceeds the 4th term by 15
So, a+6d-a-3d = 15
3d = 15
d = 5
Substitute the value of d in (1)
So, a+5 = 12
a = 12-5
a = 7
AP : a,a+d,a+2d,.... = 5, 7+5, 7+2(5),....=7,12,17,....
Therefore, AP : 7,12,17,....
To learn more about arithmetic progression refer to:
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