Answer:
14
Step-by-step explanation: 2(4x+6)=
\,\,34-3x
34−3x
Since HJ is a midsegment, twice HJ is equal to EG.
8x+12=
8x+12=
\,\,34-3x
34−3x
Distribute.
8x+12=
8x+12=
\,\,-3x+34
−3x+34
Communicative property to change the order
\color{red}{+3x}\phantom{+12}\phantom{=}
+3x+12=
\,\,\color{red}{+3x}\phantom{+34}
+3x+34
+3x to both sides.
11x+12=
11x+12=
\,\,34
34
\phantom{11x}\color{red}{-12}\phantom{=}
11x−12=
\,\,\color{red}{-12}
−12
-12 to both sides.
11x=
11x=
\,\,22
22
\frac{11x}{11}=
11
11x
=
\,\,\frac{22}{11}
11
22
Divide both sides by 11
x=
x=
\,\,2
2
Value of x
HJ=
HJ=
\,\,4x+6
4x+6
Value of HJ
HJ=
HJ=
\,\,4(2)+6
4(2)+6
Plug in x.
HJ=
HJ=
\,\,8+6
8+6
Multiply.
HJ=
HJ=
\,\,14
14
Answer:
56.52 units² or 18π units²
Step-by-step explanation:
The formula for the area of a sector is:
A = πr²(x/360°)
where r is the radius and x is the measure of the central angle
Let's substitute the given measures into this equation:
A = πr²(x/360°)
A = (3.14)(12²)(45/360)
Solve:
A = (3.14)(12²)(45/360)
A = (3.14)(144)(45/360)
A = (452.16)(45/360)
A = (452.16)(.125)
A = 56.52
Therefore, the area of the sector is 56.52 units² or 18π units²
Answer:
4/1
Step-by-step explanation:
hope that helps :))))
V * v = v^2
v * -8 = -8v
8 * v = 8v
8 * -8 = -64
v^2 - 8v + 8v - 64
v^2 - 64
<span>
This was using the distributive property or using the FOIL method</span>
