Answer:
C is correct.
Step-by-step explanation:
The angles in the triangle have to add up to 180 and 36+36+108 is 180.
Equation: 4x + 2 = x - 7
Solve equation
Subtract x from both side
3x + 2 = -7
Subtract 2 from both side
3x = -9, x = -3
Solution: the number is -3
We have consecutive odd numbers for the sides of a triangle, perimeter 201. We could write an equation, but clearly the middle side is 201/3 = 67, so the other two sides are 65 and 69.
This is almost an equilateral triangle, angles around 60 degrees, so not obtuse, meaning one angle over 90 degrees.
Scalene means the sides are all different lengths; we didn't even have to solve the problem to know this is true.
Smallest side 61, false.
Largest side 69, true.
This last one doesn't make much sense to me. What's a unit here? Dilation of 1/3 means all the linear measures become 1/3 as big, including the perimeter. It would decrease much more than 3 inches, since it would go from 201 inches to 67 inches. If I have to answer I'd go with false.
Answer:
The system of equations is inconsistent because there's no solution.
Step-by-step explanation:
7y = 11.2x + 28 is a multiple of y = 1.6x + 4. Thus we have the same equation at the end.
Multiply y = 1.6x + 4 by 7.
7y = 11.2x + 28... Equation 1
7y = 11.2x + 28... Equation 2
Subtract equation 2 from 1.
7y - 7y = 11.2x - 11.2x + 28 - 28
0 = 0 + 0. There's no solution for x and y.
Answer:
c = 7, d = 4/
Step-by-step explanation:
The first triangle is a 45-45-90 triangle, meaning the two sides adjacent to the right angle are equal to the same value, while the side opposite the right angle is equal to one of the other sides times .
The second triangle is a 30-60-90 triangle, meaning the side opposite the 30 degree angle is equal to x, the side opposite the 60 degree angle is equal to x, and the side opposite the right angle is equal to 2x. Since the side opposite the 60 degree angle is 4, we know that x times is equal to 4. Therefore, x is 4/. The side opposite the 90 degree angle is 2x, and therefore, 8/.