Answer:
Step-by-step explanation:
Apply the Pythagorean Theorrem. Find the sum of the squares of the two shortest sides and determine whether this sum equals the square of the longest side:
#19: 5^2 + 12^2 = ? = 13^2
25 + 144 = ? = 169 This is true, so you do have a right triange in #19.
#21: 2^2 + 4^2 = ? = 7^2, or 4 + 16 = ? = 49 This is false. Not a right
triangle.
Apply this same approach (Pythagorean Theorem) to the remaining problems.
Answer:
red and green
Step-by-step explanation:
Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.
Answer:
(23, 4)
Step-by-step explanation:
If we use substitution, we need to rewrite the 2nd equation so we can substitute it into the first.
Step 1: Rewrite 2nd equation
x = 5y + 3
Step 2: Substitution
2(5y + 3) - 5y = 26
Step 3: Distribute
10y + 6 - 5y = 26
Step 4: Combine like terms
5y + 6 = 26
Step 5: Isolate <em>y</em>
5y = 20
y = 4
Step 6: Find <em>x</em>
x - 5(4) = 3
x - 20 = 3
x = 23
And we have our final answer!
Answers:
first term = 37
second term = 46
third term = 55
fourth term = 64
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Explanation:
Start at 37. Add 9 to this term to get the second term. Add 9 to that result to get the next term, and so on.
first term = 37
second term = 37+9 = 46
third term = 46+9 = 55
fourth term = 55+9 = 64
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The nth term formula is
a(n) = 9n+28
It can be found by plugging a = 37 and d = 9 into the general form
a(n) = a + d*(n-1)
