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2 years ago

Each figure shows a triangle with one or more medians.

Mathematics

1 answer:

Mars2501 [29]2 years ago

6 0

Applying the centroid theorem, the value of x in the given triangle in the figure is: B. 4

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

The point where the three median of a triangle meet is the centroid. According to the centroid theorem, the centroid is 2/3 of the distance from each midpoint of the opposite sides to each vertex of the triangle.

Based on the centroid theorem, we have:

FY = 2/3(FS)

Substitute

x = 2/3(x + 2x - 6)

x = 2/3(3x - 6)

3x = 2(3x - 6)

3x = 6x - 12

3x - 6x = -12

-3x = -12

x = -12/-3

x = 4 (option B)

Learn more about the centroid theorem on:

brainly.com/question/20627009

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How many different committees can be formed from 12 teachers Abs 43 students of the committee consists of 4 teachers and 3 stude

Marina86 [1]

Answer:

6108795

Step-by-step explanation:

To obtain the number of ways the committee can be selected :

4 teachers from the 12 teachers available and 3 students from the 43 students available

Using combinatorics :

12C4 * 43C3

recall :

nCr = n! ÷ (n - r)!r!

Using calculator :

12C4 = 495

43C3 = 12341

12C4 * 43C3

495 * 12341

= 6108795

3 0

2 years ago

Really need help with this .

lions [1.4K]

Answer:

Step-by-step explanation:

The attached photo shows the diagram of quadrilateral QRST with more illustrations.

Line RT divides the quadrilateral into 2 congruent triangles QRT and SRT. The sum of the angles in each triangle is 180 degrees(98 + 50 + 32)

The area of the quadrilateral = 2 × area of triangle QRT = 2 × area of triangle SRT

Using sine rule,

q/SinQ = t/SinT = r/SinR

24/sin98 = QT/sin50

QT = r = sin50 × 24.24 = 18.57

Also

24/sin98 = QR/sin32

QR = t = sin32 × 24.24 = 12.84

Let us find area of triangle QRT

Area of a triangle

= 1/2 abSinC = 1/2 rtSinQ

Area of triangle QRT

= 1/2 × 18.57 × 12.84Sin98

= 118.06

Therefore, area of quadrilateral QRST = 2 × 118.06 = 236.12

6 0

2 years ago

Read 2 more answers

Help! 15 Points, FRACTIONS.

Dafna11 [192]

Answer:

7/8 estimated would be about 1 and 6/11 is almost a half so it would be estimated 1/2 so 1 - 1/2 = 1/2

3 0

2 years ago

Read 2 more answers

What is 47,300 in scientific notation?

agasfer [191]

There's always a decimal at the end of a whole number. here it's behind the last zero. move that decimal so that the non-zero digit is less than 10 but more than 1.
4.73, the decimal was moved 4 places to the left. so the scientific notation is
4.72X10^4

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3 years ago

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VARVARA [1.3K]

Answer:

the answer is a

Step-by-step explanation:

2x +2(x-4)=87

2x+2x-8=87

4x-8=87

4x=95

x=95/4

8 0

3 years ago