Answer:
600
Step-by-step explanation:
Given
equation t = 6n
n is term number
we have to find 100th term.
Thus, term number is 100
substituting 100 in place of n in equation t=6n , we can find the value of 100th term
t = 6*100 = 600
Thus, 100th term is 600.
Answer:
Step-by-step explanation:
1/2x - 2/3 × 15 = 30
1/2x - 10 = 30
1/2x = 30 + 10
1/2x = 40
x = 40 × 2
x = 80
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Answer: a is equal to b
Step-by-step explanation:
For this case we have to:
x: Let the variable representing the unknown number
We algebraically rewrite the given expression:
Twice a number plus 10, is represented as:
Three times that number less 4. is represented as:

Thus, the complete expression is:

Subtracting 3x from both sides of the inequality:

Subtracting 10 from both sides of the inequality:

Equal signs are added and the same sign is placed:

We multiply by -1 on both sides, taking into account that the sense of inequality changes:

The solution is given by all values of "x" less than 14.
Answer:

Answer:
1) If sum of the two smaller sides of a triangle is greater than the third longer side, then its a triangle.
<h3>In our case, 20 + 23 > 41. Hence its a triangle .</h3>
Use the side lengths to classify the triangle as acute, right, or obtuse. Compare the square of the length of the longest side with the sum of the squares of the lengths of the two shorter sides
2) Square root of sum of the squares of the two smaller sides is equal to the third longer side, then its a right triangle.
In our case,
√20^2+23^2≈30.4795<41.
<h3>Hence not a right triangle.</h3>
Since the sum of the squares of the two shorter sides is < the square of the longer side, its an obtuse angle triange
Step-by-step explanation:
Hope it is helpful....