Answer:
(10, 15)
Step-by-step explanation:
To get the origin of the equation 2y+3x = 10, we need to get the x and y-intercept of the line.
x-intercept occurs at y = 0
If y = 0
2(0)+3x =10
3x =10
x = 10/3
x = 1.33
y-intercept occurs at x = 0
If x = 0
2y+3(0) =10
2y =10
y = 10/2
y = 5
Hence the coordinate at the origin is (10/3, 5). If this coordinate is dilated by 3, the required coordinate will be at (10/3*3, 5*3) = (10, 15)
Hence the required coordinate is (10, 15)
Hey there!
An obtuse angle is defined as an angle that is wider than 90° but less than 180°. For example, a 68° would not be considered obtuse, but a 107° would. As long as the degree is between 90 and 180, the angle is obtuse. Any other angle (either between 0 and 90 OR 180 and 360) is not obtuse.
You can use this information to answer the question based on the angles you have been given.
Hope this helped you out! :-)
Side 1 = short side = 2x-3
side 2 = longer side = (short side) + 6 = (2x-3)+6 = 2x+3
side 3 = side 2 = 2x+3
Side 2 and side 3 are the longer two congruent sides
Add up the three sides and set them equal to the given perimeter of 33. Solve for x
(side1)+(side2)+(side3) = perimeter
(2x-3)+(2x+3)+(2x+3) = 33
(2x+2x+2x) + (-3+3+3) = 33
6x+3 = 33
6x+3-3 = 33-3
6x = 30
6x/6 = 30/6
x = 5
If x = 5, then the longer sides are 2*x+3 = 2*5+3 = 10+3 = 13 inches each
(note: the short side is 2*x-3=2*5-3=10-3 = 7 inches)
Answer: 13 inches
Answer:
-6
Step-by-step explanation: