Answer:
KL = 28
YZ = 76
LZ = 38
Step-by-step explanation:
Because J K and L are midpoints, the segment lengths are half of the segments from the XYZ triangle.
Think of it like this: ZLK is just ZXY scaled to half.
From that we get:
KL = YX/2 = 56/2 = 28
YZ = 2*KJ = 2*38 = 76
LZ = YZ/2 = 76/2 = 38
Answer:
Option (d)
Step-by-step explanation:
From the given table,
Number of members in 1980 (t = 0) were 5400.
With the period of time number of members increased.
Let the number of years after 1980 = x
Therefore, line of best fit will be in the form of y = mx + b
Where b = Initial number of members = 5400
m = Increase in members in every 5 years duration
So the equation will be,
y = mx + 5400
From the given options,
Equation which matches to our equation is,
y = 310.58x + 5400
For the number of members in year 2022,
x = 2022 - 1980 = 42 years
y = 310.58(42) + 5400
y = 18445
Option (d) will be the answer.
Answer: He is 18 years old right now.
Step-by-step explanation:
Let the present age of Ishaan be x
After 36 years,
his age will be x+36
According to question,
it is mentioned that Ishaan will be 3 times as old as he is right now ,
So, we will frame it in equation:

Hence, he is 18 years old right now.
Answer:
12; 8
Step-by-step explanation:
length-x
breadth-2/3x
2(x+2/3 x)=40
2×5/3x=40
10/3x=40
x=40÷10/3
x=40×3/10
x=12 (cm) length
2/3×12=8 (cm) breadth
Answer :
x = 53.85
Step by step explanation:
If 78% of x (some numbers) is equal to 42, then we must set this as an equation to find it.
1) Rewriting 78% as a fraction and considering that when we say 78% of some number (x) we mean a product.
78% = 78/100 ➡️ 78/100x = 42
2) Then we can go on :
100 * 78/100x = 42 * 100
78x = 4200
78x/78 = 4200/78 ➡️ x = 53.85
3) Alternatively, simply dividing 42 by 0.78 (78%) would come to the same result :
42/0.78 = 53.85