All categories

2 years ago

HELP ASAP!!! In triangle OPQ, U is the centroid. If QU = 8, find QR

Mathematics

1 answer:

scZoUnD [109]2 years ago

7 0

Applying the centroid theorem, the length of QR is: 12.

<h3>What is the Centroid Theorem?</h3>

According to the centroid theorem, the centroid (the point where the three medians intersect) is 2/3 of the distance from the midpoint of the a side to each vertex opposite vertex of the triangle.

Given:

QU = 8

QU = 2/3(QR)

Substitute

8 = 2/3(QR)

3(8) = 2(QR)

24 = 2(QR)

QR = 12

Therefore, applying the centroid theorem, the length of QR is: 12.

Learn more about the centroid theorem on:

brainly.com/question/20627009

You might be interested in

Algebraic Reasoning please help!

stiv31 [10]

Answer:

$\left[\begin{array}{ccc}7\\4\\2\end{array}\right]$

The answer is a single-column matrix (7,4,2)

Step-by-step explanation:

In such multiplication of matrices, you have to proceed by multiplying each ROW of the first matrix by the COLUMN of the second matrix. So,

$\left[\begin{array}{ccc}3&6&1\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (3 * 2) + (6 * 0) + (1 * 1) = 6 + 0 + 1 = 7$

then...

$\left[\begin{array}{ccc}2&4&0\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (2 * 2) + (4 * 0) + (0 * 1) = 4 + 0 + 0 = 4$

and

$\left[\begin{array}{ccc}0&6&2\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (0 * 2) + (6 * 0) + (2 * 1) = 0 + 0 + 2= 2$

I hope it helps.

5 0

2 years ago

I will give BRAINLIEST! HELP PLEASE.!!!<br><br> 2. Find each measure. <br> m<1 m<2 m<3

fredd [130]

<h3>Answer: Choice B</h3>

Angle 1 = 147 degrees

Angle 2 = 80 degrees

Angle 3 = 148 degrees

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

Work Shown:

(angle 1) + 33 = 180

angle 1 = 180-33

angle 1 = 147 degrees

---------------

Focus on the left most triangle that has angles 33 and 47 as interior angles. The missing angle is 180-33-47 = 100 degrees

The angle exterior to this 100 degree angle is angle 2

angle 2 = 180-100 = 80

We have enough info to conclude the answer must be choice B.

---------------

Let's keep going to find angle 3

The vertical angle for the 100 degree angle is also 100 degrees. This second 100 degree angle is part of the triangle on the right

This triangle on the right has interior angles 100 and 48

The missing interior angle is 180-100-48 = 32

The angle supplementary to this is 180-32 = 148, which is angle 3.

5 0

3 years ago

1. Find the slope of the line that goes through the points (2, 5) and (6, 7)

ella [17]

Answer:

$\displaystyle m = \frac{1}{2}$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Algebra I</u>

Coordinates (x, y)
Slope Formula: $\displaystyle m = \frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (2, 5)

Point (6, 7)

<u>Step 2: Find slope </u><em><u>m</u></em>

Substitute in points [Slope Formula]: $\displaystyle m = \frac{7-5}{6-2}$
[Fraction] Subtract: $\displaystyle m = \frac{2}{4}$
[Fraction] Simplify: $\displaystyle m = \frac{1}{2}$

7 0

2 years ago

Hey! i’ll give brainliest please help

Ahat [919]

Answer:

I think it's D but im not sure

hope this helps

have a good day :)

Step-by-step explanation:

6 0

2 years ago

Aul bought 10 reams of paper at the store for a total of $84 the tax on thepurchase was $4 what was the cost of each ream of pap

yKpoI14uk [10]

84+4/10
hope this helps

4 0

3 years ago