Answer:
20
Step-by-step explanation:
Answer:
The Answer is: 2,850.
Step-by-step explanation:
Multiply 350 M times 6:
6 * 350 = 2,100
Add 2100 to 750:
2,100 + 750 =
Let's assume that the statement "if n^2 is odd, then is odd" is false. That would mean "n^2 is odd" leads to "n is even"
Suppose n is even. That means n = 2k where k is any integer.
Square both sides
n = 2k
n^2 = (2k)^2
n^2 = 4k^2
n^2 = 2*(2k^2)
The expression 2(2k^2) is in the form 2m where m is an integer (m = 2k^2) which shows us that n^2 is also even.
So this contradicts the initial statement which forces n to be odd.
Let the actor's initial weight be 'x'
He is then gaining 20 pounds. The clue is in the word 'gaining' as it means 'increasing' or in Mathematics can be related as 'plus'
The expression is: x+20
He then loses 15 pounds. The clue is in the word 'losses' as it means 15 pounds is to be subtracted from the last value
Last value is x + 20
The weight now is x + 20 - 15 = x + 5
Answer:
Step-by-step explanation:
First Problem - it is an equilateral triangle as three sides are of same length
The interior angles of an equilateral triangle is 60 deg.
So 7x - 3 = 60
7x = 63
x = 9 deg.
Second Problem - again it is an equilateral triangle as three interior angles are equal.
So the three sides are of same length -
6x - 3 = 5x
x = 3
Third Problem - it is an isosceles triangle as the base angles are equal.
So the two sides are of same length -
x + 4 = 3x - 8
2x = 12
x = 6
Fourth Problem - it is an isosceles triangle as the base angles are equal.
So the two sides are of same length -
2x + 7 = 4x - 7
2x = 14
x = 7
BC = 4x = 28
Fourth Problem - it is an isosceles triangle as the two sides are of same length.
The base angles are equal at 73 deg.
Sum of interior angles for a triangle = 180 deg.
So 73 + 73 + 6x + 4 = 180
150 + 6x = 180
6x = 30
x = 5
