Do lulus way. If you change the angles, you will not have a pentagon anymore. If you subtract, it wouldn’t be the same ratio:)
Answer:
Kay made 8 phone calls
Stephanie made 13 phone calls
Explanation:
Assume the number of phone calls that Stephanie made is x.
We are given that:
Kay made 5 phone calls less than Stephanie.
This means that:
Kay made x-5 phone calls
We know that the total number of phones is 21.
This means that:
21 = x + x - 5
Now we solve for x as follows:
21 = x + x - 5
21 = 2x - 5
2x = 26
x = 26/2
x = 13
This means that:
Stephanie made x = 13 phone calls
Kay made x - 5 = 13 - 5 = 8 phone calls
Hope this helps :)
Calculate area of the white region inside circle.
Area of the two white triangles in top left and bottom right:
Area of the two white quarter circles in the bottom left and top right:
Total area of unshaded white region inside circle:
Area of entire circle including the white and shaded regions
Area of shaded region is area of entire circle - area of unshaded white region
Answer:
1). All four triangles are right-angled.
3.) All four triangles are congruent.
4) Area of a rhombus = 4 x area of one triangle.
Step-by-step explanation:
If a rhombus is cut into four triangles using diagonals, the three statements that would apply to any rhombus would be that 'all those four triangles would be right-angled,' 'the triangles would be congruent to one another,' and 'area of one triangle * 4 would be equal to the area of the rhombus.'
As we know, the diagonals bisect one another in a rhombus at 90° and the angles opposite to one another are equal. This <u>proves that all four triangles constructed through the diagonals would be ≅ through SSS congruency and perpendicular to one another because the corresponding edges of the congruent triangles are also ≅</u> . Since the rhombus is divided into four equal parts, the area of one triangle into four would be equals to the area of the rhombus. Thus, <u>options 1, 3, and 4</u> are the correct answers.
Answer:
It is rotated by 72 degrees.
Step-by-step explanation:
- Since it is a regular polygon,
when u connect all the corners of it to the middle of the polygon, they will meet at a point i.e, CENTER.
- The sum of the angles subtended by all the sided at the center will be 360 degrees.
- As there are 60 sides, the angle subtended by each side at the center will be 6 degrees.
Because,
- As the polygon rotates every minute and it is rotated for 12 minutes,
( For every minute, it will be rotated by 6 degrees.
so, for 12 minutes it should be rotated by 12 times 6 ( 12*6) = 72 degrees)
- So, after 12 minutes it will be rotated by 72 degrees.
