Answer:
8x +3
Step-by-step explanation:
Just collect the like terms, like terms have the same variable. So in this case, 2x, 3x, 3x all share the variable x, so we can add it together.
So when simplified:
2x +3x + 3x+ 3 = 8x +3
Hope this helped,
Cate
I do believe it's A since a rhombus is a shape with all 4 sides the same length m8
Answer:
1. 7
2. 3
3. 9
Step-by-step explanation:
Answer:
![A=9.5\ ft^2](https://tex.z-dn.net/?f=A%3D9.5%5C%20ft%5E2)
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of triangle plus the area of semicircle
so
![A=\frac{1}{2}bh+\frac{1}{2}\pi r^{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7Dbh%2B%5Cfrac%7B1%7D%7B2%7D%5Cpi%20r%5E%7B2%7D)
we have
![b=4\ ft](https://tex.z-dn.net/?f=b%3D4%5C%20ft)
Find the height of the right triangle applying the Pythagorean Theorem
![5^2=h^2+4^2](https://tex.z-dn.net/?f=5%5E2%3Dh%5E2%2B4%5E2)
![h^2=9\\h=3\ ft](https://tex.z-dn.net/?f=h%5E2%3D9%5C%5Ch%3D3%5C%20ft)
The radius of the semicircle is half the height of triangle
![r=3/2=1.5\ ft](https://tex.z-dn.net/?f=r%3D3%2F2%3D1.5%5C%20ft)
substitute in the formula
![A=\frac{1}{2}(4)(3)+\frac{1}{2}(3.14)(1.5)^{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%284%29%283%29%2B%5Cfrac%7B1%7D%7B2%7D%283.14%29%281.5%29%5E%7B2%7D)
![A=6+3.5=9.5\ ft^2](https://tex.z-dn.net/?f=A%3D6%2B3.5%3D9.5%5C%20ft%5E2)
Answer:
120°
Step-by-step explanation:
All the angles of an equilateral triangle are equal, and hence have a measure of 60°.
∵ ∠AGF is a part of equilateral Δ AGF, m∠AGF = 60°.
∵ ∠FGE is a part of equilateral Δ AGF, m∠FGE = 60°.
Also note that ∠AGE = ∠AGF + ∠FGE.
⇒ m∠AGE = m∠AGF + m∠FGE
⇒ m∠AGE = 60° + 60°
= 120°.