If 3 out of 5 are oranges, this means the ratio is 3 oranges for every 5 total.
If there are 12 oranges, this is 4 groups of 3 oranges. You will need 4 groups of 5 total to make it equivalent.
4 x 5 = 20 total fruit.
<u>3</u> x <u>4 </u>= <u>12</u>
5 x 4 20
Answer:
The value of x = 9
Step-by-step explanation:
Angle Bisector Theorem
An angle bisector of a triangle would cut the opposite side into two segments that are proportional to the other two sides of the triangle.
Thus,
Cross Multiply the expression
Divide both sides by 20
Therefore, the value of x = 9
Answer:
100
Step-by-step explanation:
We have the sum of first n terms of an AP,
Sn = n/2 [2a+(n−1)d]
Given,
36= 6/2 [2a+(6−1)d]
12=2a+5d ---------(1)
256= 16/2 [2a+(16−1)d]
32=2a+15d ---------(2)
Subtracting, (1) from (2)
32−12=2a+15d−(2a+5d)
20=10d ⟹d=2
Substituting for d in (1),
12=2a+5(2)=2(a+5)
6=a+5 ⟹a=1
∴ The sum of first 10 terms of an AP,
S10 = 10/2 [2(1)+(10−1)2]
S10 =5[2+18]
S10 =100
This is the sum of the first 10 terms.
Hope it will help.
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