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mina [271]
3 years ago
14

Given:

Mathematics
1 answer:
matrenka [14]3 years ago
4 0

Answer:

A. If angles XYZ and RST are congruent, then they are vertical angles.

Step-by-step explanation:

hope its right cuz on the test i got an 80%  cant see the answers sorry :/

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the ratio of the length of an arc of the circle to the circumference of the circle is 3:7, if the diameter of the circle is 14cm
konstantin123 [22]

The perimeter and area of this minor circle are equal to 32.857 units and 88.345 units² respectively.

<h3>How to calculate the perimeter of the minor circle?</h3>

First of all, we would determine the circumference of this circle by using this formula:

C = πD

C = 22/7 × 14

C = 44 units.

For the length of an arc of the circle:

Arc length/Circumference = 3/7

Arc length = 3/7 × C

Arc length = 3/7 × 44

Arc length = 18.857 units.

Now, we can calculate the perimeter:

Perimeter = 2r + arc length

Perimeter = 2(14/2) + 18.857

Perimeter = 14 + 18.857

Perimeter = 32.857 units.

<h3>The area of the minor circle.</h3>

Mathematically, the area of a minor circle is given by this formula:

Area = θr²/2

But, we would have to find the angle in radians:

18.857/32.857 = θ/360

θ = 3.6059 radians.

Substituting the given parameters into the formula, we have;

Area = (3.6059 × 7²)/2

Area = 88.345 units².

Read more on circumference here: brainly.com/question/14478195

#SPJ1

4 0
1 year ago
In △ RTV , X is the centroid and RU = 18. Find RX and XU. Enter your answers as numbers.
lapo4ka [179]

Answer:

RX = 12 and XU = 6

Step-by-step explanation:

Given :  In ΔTRV , TW ,RU and VS are the medians .

             X is the centroid

To Find : RX and XU

Solution:

Since we know that the centroid divides each median in a ratio of 2:1.



Since X is the centroid so RX : XU = 2:1

So, let RX = 2x and XU = x

And we are given that RU = 18

⇒RX +XU=18

⇒2x+x=18

⇒3x=18

⇒x=\frac{18}{3}

⇒x=6

Thus,  RX = 2x = 2*6 =12

          XU = x =6

Hence length of RX = 12 and XU = 6

4 0
3 years ago
Ten years ago the age of the father was four times of his son. Ten years hence the age of the father will be twice that of his s
Zinaida [17]
I hope this helps you

3 0
3 years ago
Of the 400 employees, 5% of them are park managers. How many managers does the park employe
Anvisha [2.4K]

Answer:

The park employed 20 managers.

Step-by-step explanation:

5% of 400

(5 ÷ 100) × 400

0.05 × 400

= 20

8 0
3 years ago
Read 2 more answers
What is the value of S ?
Vanyuwa [196]

Answer:

Step-by-step explanation:

total is 240 then the bigger areas are 60* so S is 40*

5 0
2 years ago
Read 2 more answers
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