Answer: 
Step-by-step explanation:
You can observe in the figure two parallel lines that are intersected by a transversal and several angles are formed.
The angles m∠3 and m∠6 are located inside the parallel lines and on one side of the transversal, this angles are known as "Consecutive interior angles" and they are supplementary (which means that they add up 180°).
Therefore, you know that:

So you can substitute m∠3=130° and solve for m∠6. Then you get:

Answer:

Step-by-step explanation:
The square in the middle has a length and width of 3, so multiply. <u>9</u>.
All of the triangles have a base of 3 and a height of 2. The area equation for triangles is

So base*height is 6. Divide that by 2 or multiply by 1/2.
You get 3. There are 4 triangles, so multiply <em>that</em> by 4. <u>12</u>.
Add 12 and 9 together, and you get:

I hope this helps!
Answer:
2 7/8
Step-by-step explanation:
Answer:
she has 4 quarters because 4 quarters equals $1 and she has 12 nickles because 12 × 5 =60
Answer:
The area of the sector (shaded section) is 29.51
.
Step-by-step explanation:
Area of a sector = (θ ÷ 360) 

where θ is the central angle of the sector, and r is the radius of the circle.
From the diagram give, diameter of the circle is 26 m. So that;
r = 
=
= 13 m
θ = 360 - (180 + 160)
= 360 - 340
= 
Thus,
area of the given sector =
x
x 
=
x x
x 169
= 29.5079
The area of the sector (shaded section) is 29.51
.