I believe with vertical angles, they are equal to each other.
Therefore,
2y + 5 = 4y
subtract 2y from both sides
5 = 2y
divide 2 from both sides
y = 5/2
Answer:
Step-by-step explanation:
The point where the lines intersect is called the point of intersection.These form opposite angles.
Answer: Yes, they can.
Clarification:
We have three different sides with different lengths:
These three lengths can form a triangle, an isosceles triangle.
Isosceles triangles have three different side lengths.
Hope this helps you. Best of Luck!
Answer:
![67.5\text{ [square units]}](https://tex.z-dn.net/?f=67.5%5Ctext%7B%20%5Bsquare%20units%5D%7D)
Step-by-step explanation:
The composite figure consists of one rectangle and two triangles. We can add up the area of these individual shapes to find the total area of the irregular figure.
<u>Formulas</u>:
- Area of rectangle with base
and height
:
- Area of triangle with base
and height
:
By definition, the base and height must intersect at a 90 degree angle.
The rectangle has a base of 10 and a height of 5. Therefore, its area is
.
The smaller triangle to the left of the rectangle has a base of 2 and a height of 5. Therefore, its area is
.
Finally, the larger triangle on top of the rectangle has a base of 5 and a height of 5. Therefore, its area is
.
Thus, the area of the total irregular figure is:
![50+5+12.5=\boxed{67.5\text{ [square units]}}](https://tex.z-dn.net/?f=50%2B5%2B12.5%3D%5Cboxed%7B67.5%5Ctext%7B%20%5Bsquare%20units%5D%7D%7D)
X - the number
3x - 7 = -4 |add 7 to both sides
3x = 3 |divide both sides by 3
x = 1