Answer:
x = 30
Step-by-step explanation:
The interior angles of a triangle must always add up to 180.
2x + 2x + 3x - 30 = 180
Add 30 to both sides to seperate variables.
2x + 2x + 3x = 210
Combine like terms.
7x = 210
Divide by 7 to isolate x.
x = 30
Answer:
Step-by-step explanation:
The mountain in "The Negro Artist and the Racial Mountain" is considered as an obstacle for Negro artists who wish for others to recognize their work. This isn't just part of their job, but it's part of a racial dispute because of their color. Langston Hughes, the author, describes these Negro artists as very talented people. These are also people who believe they can make it big as artists, but they wish to be white to do so. Black artists think they can't be accepted as people, let alone artists. So the mountain in the essay represents a huge obstacle these people have to achieve. That obstacle is being accepted by everyone else, and that includes them looking past their color before appreciating their art.
Hope this helps you!!
Answer:
284cm^2
Step-by-step explanation:
first, we split up the shape into seperate sections that we can easily find the areas of.
i will draw vertical lines in the bottom left and right, leaving me with 2 seperate rectangles and 1 irregular pentagon.
we know that these rectangles are 4x8cm, so we do 4 * 8 which gives us 32.
there are 2 of these, so 32 x 2 = 64cm^2.
now, i chose to seperarte the pentagon into a rectangle and a triangle,
and i found the height and width of the rectangle to be (18 - (4+4)) x (8+7), or 10 x 15.
the area of the rectangle is 150cm^2.
now, for the triangle.
the line through the centre of th shape is 22cm long, but we only want the part in the triangle. luckily, there are mesurements that can help us with this.
8 + 7 = 15.
22 - 15 = 7.
now we know that the height of the triangle is 7 cm.
from earlier, we also know the base, which is 10cm.
7 x 10 = 70cm^2.
now we add all these together:
70 + 150 + 64 = 284cm^2
Answer:
3/2
Step-by-step explanation:
Okay, I can represent this equation as rise over run
the coordinates 4,6 are subcoordinates 1
y: 6 - 3 = 3
x: 4 - 2 = 2
Since it is RISE over run then Y is the numerator and X is the denominator.
So the slope is 3/2.
