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vodomira [7]
2 years ago
5

If XY​,=30 XZ=24​, and JQ​=8, find the radius of the circumscribed circle of XYZ Please Help Brainliest if correct! Thanks!

Mathematics
1 answer:
uysha [10]2 years ago
6 0
<h3><u>Given</u>;</h3>

XY = 30, XZ = 24, JQ = 8

From the given diagram we can see that;

XJ = JY

So,

XJ = JY = XY/2

XJ = JY = 30/2 = 15

Here, Point Q is the centroid of the ∆XYZ, which means that <u>XQ = QZ = QY</u> will be the radius of the circumscribed circle.

Since,

We know JQ and XJ, let us consider triangle XJQ.

By Using Pythagoras Theorem;

(XQ)² = (XJ)² + (JQ)²

(XQ)² = (15)² + (8)²

(XQ)² = 225 + 64

(XQ)² = 289 +

XQ = √289

XQ = 17

Thus, The radius of the circumscribed circle of ∆XYZ is 17

 

<u>-TheUnknownScientist</u><u> 72</u>

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yulyashka [42]

The value of x=20

Step-by-step explanation:

We need to find the value of x

We are given a right angle which is equal to 90°

So, all three angles must sum to 90°

Our equation will be:

x+2x+(x+10)=90

Solving and finding value of x

x+2x+x+10=90\\4x=90-10\\4x=80\\x=80/4\\x=20

So, the value of x=20

Keywords: Angles

Learn more about angles at:

  • brainly.com/question/3202836
  • brainly.com/question/7151553

#learnwithBrainly

5 0
3 years ago
Define the function add_mn that takes two integers m, n as arguments and returns m + 10 * n. For instance, add_mn 3 5 = 3 + 10*5
jok3333 [9.3K]

Answer:

// C++ Program to arithmetic operationf on 2 Numbers using Recursion

// Comments are used for explanatory purpose

#include <bits/stdc++.h>

using namespace std;

// add10 recursive function to perform arithmetic operations

int add10(int m, int n)

{

return (m + product(n, 10)); //Result of m + n * 10

return 0;

}

// Main Methods Starts here

int main()

{

int m, n; // 2 Variables m and n declared as integer

cin>>m; // accept input for m

cin>>n; // accept input for n

cout << "Result : "<<add10(m,n); // Print results which is calculated by m + 10 * n

return 0;

}

8 0
3 years ago
Find the area of a trapezoid with base 1 side = 10 base 2 side = 16 and 3​
mart [117]

Answer:

Area of Trapezoid is 39 unit²

Step-by-step explanation:

Given as :

For A Trapezoid

The measure of base side 1 = b_1 = 10 unit

The measure of base side 2 = b_2 = 16 unit

The height of the Trapezoid = h = 3 unit

Let  The Area of Trapezoid = A square unit

<u>Now, From Formula</u>

Area of Trapezoid = \dfrac{1}{2} × (sum of opposite base) × height

I.e A =  \dfrac{1}{2} × (b_1 + b_2) × h

Or, A =  \dfrac{1}{2} × (10 unit + 16 unit) × 3 unit

Or, A =  \dfrac{1}{2} × (26 unit) × 3 unit

Or, A =  \dfrac{1}{2} × 78 unit²

Or, A = \dfrac{78}{2} unit²

I.e A = 39 unit²

So, The Area of Trapezoid = A = 39 unit²

Hence, The Area of Trapezoid is 39 unit² . Answer

6 0
3 years ago
Jack is selling wristbands and headbands to earn money for camp. He earns $2 for each wristband and $3 for each headband. He wan
djverab [1.8K]
Let
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 y = headbands
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8 0
3 years ago
39 is what percent of 60?
Fudgin [204]
The answer is 65%
You can find it by dividing 39 by 60 and you get .65 then multiply by 10 and you get 65!

Hope this helped and pls mark as brainliest!

~ Luna
3 0
3 years ago
Read 2 more answers
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