All quadrilateral angles have to add up to a total of 360°, so we just need to add the angles we already have and subtract that from 360.
135+90+80=305
360-305=55 so your answer is 55!
Answer:
-3
Step-by-step explanation:
Isosceles triangle, angle P = angle Q.
3x + 10 = x + 52
2x = 42
x = 21
Congruent angles are both x+52=73 degrees. Triangle angles add to 180 so
y = 180 - 73 - 73 = 34 degrees
Answer: 34
Answer:
- square: 9 square units
- triangle: 24 square units
Step-by-step explanation:
Using a suitable formula the area of a polygon can be computed from the coordinates of its vertices. You want the areas of the given square and triangle.
<h3>Square</h3>
The spreadsheet in the first attachment uses a formula for the area based on the given vertices. It computes half the absolute value of the sum of products of the x-coordinate and the difference of y-coordinates of the next and previous points going around the figure.
For this figure, going to that trouble isn't needed, as a graph quickly reveals the figure to be a 3×3 square.
The area of the square is 9 square units.
<h3>Triangle</h3>
The same formula can be applied to the coordinates of the vertices of a triangle. The spreadsheet in the second attachment calculates the area of the 8×6 triangle.
The area of the triangle is 24 square units.
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<em>Additional comment</em>
We have called the triangle an "8×6 triangle." The intention here is to note that it has a base of 8 units and a height of 6 units. Its area is half that of a rectangle with the same dimensions. These dimensions are readily observed in the graph of the vertices.
Answer:
-7
Step-by-step explanation:
To find y, follow these steps:
4y - 2 (1 - y) = -44
First, distribute the -2 into the parenthesis:
4y - 2 + 2y = -44
The reason the 2y is positive is due to the fact that negative and negative cancel each other out and form a positive.
Now, combine like terms:
6y - 2 = -44
To get y, you need to isolate it from the constants. In order to do so, do the inverse relationship for the constant -2. To do this, add 2 to -44:
6y = -42
Now, divide six on both sides. You divide because six is currently being multiplied with y. Keep in mind that the 42 is still negative!
y = -7
Hope this helps!