1) False
Adjacent angles must share a common side/ray.
2) B and D
Adjacent angles are those that are directly next to each other and share a common side.
3) C
Angles 1 and 2 are congruent. Angles 3 and 4 are congruent. Both of these pairs have angles that are opposite each other.
4) B
Angles 1 and 2 add up to 180. Angles 3 and 4 add up to 180. Both of these pairs of angles are supplementary.
5) A
These angles are directly next to each other and share a common side.
Hope this helps!! :)
Answer:
11. x=18, y=5
12. x=17, y=9
Step-by-step explanation:
Use the angle property https://www.proprofs.com/quiz-school/story.php?title=angle-properties-parallel-lines (REFER TO THIS LINK)
Area and perimeter of figure be: 562.08 m² and 123.68 m
<h3>What is Area and perimeter?</h3>
Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.
The figure comprises of a parallelogram and semicircle.
1. For Area
Area of parallelogram = base x height
= 24 x 14
= 336 m²
Area of semicircle = (π x r²)/2
= (3.14 * 12 * 12)/2
= 226.08 m²
Total Area of the figure = 336+ 226.08 =562.08 m²
2. Perimeter
Perimeter of parallelogram= 2 (a+b)
= 2 (19 +24)
= 86 m
Perimeter of semicircle= π * r
= 3.14 * 12
= 37.68 m
Total Perimeter of the figure= 86 + 37.68 = 123.68 m
Learn more about perimeter and area is:
brainly.com/question/11957651
#SPJ1
Given:
$90 good for 3 pax for 1 week.
a) $90 / 3 = $30 cost to feed each person in a week
b) $30 cost to feed each person * 5 persons = $150
c) $30 cost to feed each person * 6 persons in a family = $180
The formula derived from the above facts is:
Total cost = cost per person * no. of person * no. of weeks.
Assuming = 6 persons for 2 weeks
Total cost = 30 x 6 x 2
Total cost = 180 x 2
Total cost = 360 cost to feed a family of 6 in 2 weeks.
Answer:
49.8 ft²
Step-by-step explanation:
the picture in the attached figure
given:
a=3, b=1 c=1.8
To know the surface area:
surface area of the figure=surface area of cube+surface area of triangular prism
first lets find out the area of cube and triangular prism.
surface area of cube=4*a²
surface area of cube= 4*3² => 36 ft²
surface area of triangular prism=2*[a*c]+2*[a*b/2] = 2*[3*1.8]+[3*1]
surface area of triangular prism=10.8 +3 = > 13.8 ft²
Therefore, surface area of the figure=36 ft²+13.8 ft²
surface area of the figure= 49.8 ft²
the answer is:
49.8 ft²
