A regular heptagon is shown below. What is the value of x?

Which construction is being shown in the diagram?

11Alexandr11 [23.1K]

Answer:

Correct answer is option D) Construct the bisector of an angle.

Step-by-step explanation:

Angle bisector of an angle is a line that divides the angle in two equal parts.

A Line BD is called the angle bisector of $\angle ABC$ if

$\angle ABD = \angle CBD$

Please refer to image attached.

As per the question image, if the line PW is joined it will be the angle bisector of $\angle QPR$ .

Steps of construction of angle bisector:

1. Draw the angle QPR.

2. Open compass and make an arc that will cut the two lines on points Q and R respectively as shown in question figure.

3. With the same compass opening, put the compass on Q and make an arc in the area between $\angle QPR$ .

4. Draw an arc keeping the compass on R to cut the previous arc on point W.

Line joining the points P and W is the angle bisector of $\angle QPR$ .

So, Correct answer is option D) Construct the bisector of an angle.

6 0

3 years ago

Fiona and Camilla took a load of peaches to the farmer’s market. During the first hour, they sold ½ of the peaches plus ½ of a p

Lana71 [14]

They took 101 peaches to market.

Check:

In the 1st hour, they sold (101/2 + 1/2) = 102/2 = 51. They had 50 left.

In the 2nd hour, they sold (50/3 + 1/3)=51/3=17. They had (50-17)=33 left.

In the 3rd hour, they sold (33/4 + 3/4) = 36/4 = 9. They had (33-9) = 24 left.

In the final hour, they sold (24/5 + 1/5) = 25/5 = 5. They had (24-5) = 19 left. yay!

Fiona and Camilla took their 19 remaining peaches and went home. Sharing with
their parents and their brother Rowlf, each person had 3.8 peaches for dinner.
There was a lot of activity in the bathroom overnight.

================================================

The key to solving this one is to work it backwards.

-- They had 19 peaches left at the end of the day.

-- During the final hour, the 1/5 of a peach that they sold left them with 19,
so they had 19-1/5 before they sold the 1/5 of a peach.
The 19-1/5 was 4/5 of what they had at the beginning of the final hour.
So, at the beginning of the final hour, they had (5/4)x(19.2) = 24 .

-- During the 3rd hour, the 3/4 of a peach that they sold left them with 24,
so they had 24-3/4 before they sold the 3/4 of a peach.
The 24-3/4 was 3/4 of what they had at the beginning of that hour.
So, at the beginning of the 3rd hour, they had (4/3)x(24.75) = 33 .

Do the same for the 2nd hour.

Then do the same for the 1st hour.

And you'll work your way back up to 101 peaches.

4 0

3 years ago

HELP PLZ DUR 11;59 plz help me

Norma-Jean [14]

Answer:

Base = 10 cm

Height = 60 cm

Step-by-step explanation:

The formula for the area of a triangle is $area=\frac{1}{2} *b*h$ , where b is the length of the base of the triangle, and h is the length of the height of the triangle.

We know the area is 300, and since the height of the triangle is 6 times its base, we know that $h=6*b$ . We can plug in these values into our formula for the area of a triangle, which gives us the following equation to solve:

$300=\frac{1}{2} *b*(6*b)$

$3b^2=300$

$b=\sqrt{100} =10$

The base of the triangle is 10 centimeters.

Now that we know the base of the triangle, we can plug its value in to the original formula to solve for the height of the triangle, which gives us the following equation:

$300=\frac{1}{2} *10*h$