Answer:
The perimeter is the distance all the way around the outside of a 2D shape. To calculate the perimeter, sum the lengths of all the sides.
Therefore, perimeter of the triangle = (2x - 8) + (2x + 5) + (30 - 3x)
Collect like terms: 2x + 2x - 3x - 8 + 5 + 30
Combine like terms: x + 27
Therefore, perimeter of triangle = x + 27
We are told that the perimeter is 25:
x + 27 = 25
Subtract 27 from both sides: x = -2
If x = -2, then the side with equation 2x - 8 = (2 x -2) - 8 = -12
A length cannot be negative, therefore the perimeter cannot equal 25.
Answer:
C) 21
Step-by-step explanation:
a² + 20² = 29² Use Pythagorean Theorem to solve for a
a² + 400 = 841 Solve for the exponents
- 400 - 400 Subtract 400 from both sides
a² = 441 Take the square root of both sides
a = 21
Line 1:
Expanding the vertex form, we have
x² + 2·1.5x + 1.5² - 0.25 = x² +3x +2
Expanding the factored form, we have
x² +(1+2)x +1·2 = x² +3x +2
Comparing these to x² +3x +2, we find ...
• the three expressions are equivalent on Line 1
Line 2:
Expanding the vertex form, we have
x² +2·2.5x +2.5² +6.25 = x² +5x +12.5
Expanding the factored form, we have
x² +(2+3)x +2·3 = x² +5x +6
Comparing these to x² +5x +6, we find ...
• the three expressions are NOT equivalent on Line 2
The appropriate choice is
Line 1 only
Answer: The answer should be 72
Explanation: Triangles add up to 180. The two bottom points are the same. So you would take 180 and subtract it by 36. That would give you 144. You would then take 144 and divide it by 2, because the two angles are the same and your only trying to find one.
Kevin would have to write 133 problems, as 14/5= $2.8 per problem 370/2.8= 132.14 but since he can’t be paid to write .14 of a problem he needs to finish it making the answer 133 problems
