Answer:
Step-by-step explanation:
The interior is a parallelogram when adjacent angles are supplementary. This requires ...
(x -30)° + (x +50)° = 180°
2x + 20 = 180 . . . . . . . . . . . collect terms, divide by °
2x = 160 . . . . . . . . . . . . . . . subtract 20
x = 80 . . . . . . . . . . . . . . . . . divide by 2
Then the angle x+50 is ...
(x +50)° = (80 +50)° = 130°
This is also the measure of the angle marked y.
For the lines to be parallel, x = 80, y = 130°.
Answer:
La situación está representada por el siguiente sistema:

Donde:
- Cantidad de rosas vendidas semanalmente.
- Ganancia semanal, medida en dólares.
Step-by-step explanation:
De acuerdo con el enunciado, Nita gana una cantidad fija cada semana por pasear al perro de su vecino, con un monto de $ 20, mientras que gana en función de la cantidad de rosas a vender, con un valor unitario de $ 2. Si ella desea ganar al menos $ 50, por tanto, se requiere construir el siguiente sistema, conformado por una ecuación y una inecuación:
(1)
(2)
Donde:
- Cantidad de rosas vendidas semanalmente.
- Ganancia semanal, medida en dólares.
Answer:
Perimeter
units. Area 12 square units.
Step-by-step explanation:
Perimeter: total distance around the figure.
Distance Formula: the distance between points
is





The perimeter is the sum of all those segment lengths.
One way to find the area of the figure is to surround it with a rectangle, insert some lines so that the areas you do not want can be found and subtracted from the rectangle's area. (See attached image.)
The area of the large rectangle around the figure is 5 x 4 = 20 square units.
The triangles have areas 1/2 (base) (height):
A. (1/2)(1)(4) = 2 square units
B. (1/2)(3)(1) = 1.5 square units
D. (1/2)(1)(2) = 1 square unit
E. (1/2)(5)(1) = 2.5 square units
Square C. (1)(1) = 1 square unit
Total of all the area you don't want to include:
2 + 1.5 + 1 + 2.5 + 1 = 8 square units
Subtract 8 from the surrounding rectangle's area of 20, and you get the area of the figure is 20 - 8 = 12 square units.