Mathematics College

In triangle RST, SQ=8 and QT=12. Find SW and UQ

Answers

Answer 1

Given:

In triangle RST, SQ=8 and QT=12.

To find:

The measure of sides SW and UQ.

Solution:

We know that centroid of a triangle is the intersection point of the medians and it divides each median in 2:1.

In the given figure SW and TU are medians and Q is the centroid. So,

[tex]\dfrac{SQ}{QW}=\dfrac{2}{1}[/tex]

[tex]\dfrac{8}{QW}=\dfrac{2}{1}[/tex]

[tex]\dfrac{8}{2}=QW[/tex]

[tex]4=QW[/tex]

Now,

[tex]SW=SQ+QW[/tex]

[tex]SW=8+4[/tex]

[tex]SW=12[/tex]

TU is a median. So,

[tex]\dfrac{QT}{UQ}=\dfrac{2}{1}[/tex]

[tex]\dfrac{12}{UQ}=\dfrac{2}{1}[/tex]

[tex]\dfrac{12}{2}=UQ[/tex]

[tex]6=UQ[/tex]

Therefore, the measure of SW is 12 units and the measure of UQ is 6 units.

Related Questions

Someone help me ASAP

Answers

Answer:(

gof) = 12x+8

Step-by-step explanation:

to find gof plug f into g :

(g o f) = 6(2x+1)+2

then simplify:

( g o f) = 12x+8

what statement about the point ( 0, 5 ) is true?

Answers

it lies on the y-axis

Please do this for brainlest and extra points!!! Pleaseee IT IS DUE

Answers

Answer:

Step-by-step explanation:

1) 3

2) 15

3) 4

4) 27

5) 28

6) 18

7) 17 2/3

6
Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6
tip. Write an equation that represents this scenario if the total cost was $39.
^ $11h - $6h = $39
B $11h + $6 = $30
C $6 - $11 = $39
D $39h + $11 = $6
Bi
o
Type here to search

Answers

If B was missed typed and is suppose to say 11h + 6=39 then that is your answer but if not none of these are correct

Answer:

its B bud

Step-by-step explanation:

Consider the following polynomial.

−3y4−y13+4+2y10

Identify the degree.

Answers

Highest exponent is the degree. So the degree is 13

Answer:

I really hope you meant -3y^4 - y^13 + 4 + 2y^10 because of so the answer is 13

Seahorses can swim about 1/2 mile per hr. If a seahorse needs to go 6 mi, how long will it take?

Answers

Answer:

12 hours

Step-by-step explanation:

to find the answer to this one you divide 6 by 1/2

6/1/2=12

it takes 12 hours for the sea horse to travel 6 miles

hope this helps :D

hi please help me with this angles work for math class

Answers

Answer:

Angle A:60

Angle B:120

AngleD:60

Angle E:60

Angle F:120

Angle G:120

Angle H:60

Step-by-step explanation:

There are supplementary angles that add up to get 180 so 120+ __=180

60 is the missing Angle of A and D and since the lines are parallel and we also have vertical angles. The angles are going to be either 120 or 60

a student eats 7 servings of vegetables and 4 servings of fruits one day. Which statement is true

A. The ratio of fruits and vegetables the student eats 7 to 4.

B. The ratio of fruits to vegetables the student eats that day is 7 to 11

C. The ratio of vegetables to fruit the student eats that day is 4 to 7.

D. The ratio of vegetables to total fruits and vegetables the student eats that day is 7 to 11.

Answers

Answer:

Step-by-step explanation:

I think

I hope

Welp

Have a cookie

I will give BRAINLIEST!!

21 cm
Find the circumference. Round your answer to the nearest hundredth. Use 3.14 for
Enter the correct answer in the box.

Answers

Answer:

132 cm

I hope this helped!

Which statement shows the associative property of addition?
(+7)+ 13 = U+ (7 + 13)
21+2y=2y+21
if m+ 3 = 18 then 18 = m + 3

Answers

It should be the first one since your changing the grouping.

Answer:

the first one is the correct answer i.e.

(+7) + 13 = U+ (7+13)

Which of the following examples demonstrates heat transfer through radiation?
A.
Boiling water on a stove.
B.
IA
A heater blowing air into a room.
C.
IA
A hamburger cooking on a grill.
D.
The sun heating up a pool.

Answers

D
The sun heating up a pool.

9. What is the volume for the cone shown above, to the nearest cubic centimetre?
A.343 em
B.1039 cm
C.132 cm
D.1115 cm

Answers

The answer is c so you know

Answer:

B .

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please brainliest nakatolung naman ako sayo

A hotel sets up tables for a conference for 156 people if each tables seats 12 people, how many tables will be needed?

Answers

13 :D

.....................

I don’t understand this question someone please help

Answers

Answer:

£152.40

Step-by-step explanation:

If he made 80 cakes at a ratio of 3:2:5, then he made:

24 chocolate cakes

16 lemon cake

40 fruit cakes

He sold all of the chocolate: 24x2=48

He sold 3/4 of the lemon: 3/4 of 16=12 12x1.70=20.40

He sold 7/8 of the fruit cakes: 7/8 of 40=35 35x2.4=84

48+20.40+84=152.40

2. 72 – 32 X4 what is the sks

Answers

Answer:

- 125.28

Step-by-step explanation:

2.72 - 32 × 4

2.72 - 128

- 125.28

find the arc length semicircle 10

Answers

jbbnnnnnn. njjgcfgggggg yurr ruin. ik

find the cost of fencing a rectangular Park of length 150 and breadth 100 at the rate of 20 per metre

please answer fast

Answers

Answer:

Rs 300000

Step-by-step explanation:

Given that,

Length of a rectangular park, l = 150 m

Breadth, b = 100 m

We need to find the cost of fencing the park at the rate of 20 per metre. The area of a rectangle is given by :

A = lb

So,

[tex]A=150\times100\\\\A=15000\ m^2[/tex]

Cost of fencing,

[tex]C=15000\times 20\\\\C=Rs\ 300000[/tex]

So, the required cost is Rs 300000.

A forest ranger spots a fire from 23-foot tower. The angle of depression from the tower to the fire is 15 degrees

Answers

Answer:

86 feet i think

Step-by-step explanation:

Equivalent fractions

Answers

Answer:

What about them?

Step-by-step explanation:

Equivalent fractions meaning:

Equivalent fractions represent the same amount of distance or points on a number line. All equivalent fractions reduce to the same fraction in their simplest form. It's either you multiply to get and equivalent fraction or divide.

Is it greater than, equal to, or less than

Answers

Answer: Greater than

Answer: Greater than

The hypotenuse of a right triangle measures 13 cm and one of its legs measures 5 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

Step-by-step explanation

Please help me solve this 1/8 in.= 10 mi. 1 1/8 in.= ____ mi.

Answers

Answer:

2.1701x10^-5 mi

What is a rule or statement that is always true

Answers

never have bad postrure.

factor -1/4 out of -1/2x-5/4y
the factored expression is (i will mark brainlyest)

Answers

Answer:

2x + 5y divide each term by -1/4 it's simple

what do u add to 3 3\5 to get 5

Answers

Answer:

1 2/5

Step-by-step explanation:

1 2/5 + 3 3/5 = 5 , Its just simple math. Hope this helps :)

Solve for h

h – 5 = -30

Make sure to show your work for full points!

Question 7 options:
HELP ME ASAP PLEASE

Answers

Answer:

H=-30+5

H=-25

Pls mark as brainliest

giving brainliest *easy*

Answers

Answer:

000000000000+0000000000000000000=0 :)

Step-by-step explanation:

what is the answer to 1/4 + 8 * 8 + 6 + 8

Answers

If you turn 1/4 into a decimal, which is 0.25, all you have to do then is 0.25 + 8 x 8 + 6 + 8 = 78.25 Hope this helps!!

A bus covers a distance of 2.45 km in 2 min. What is the speed of bus?

Answers

Answer:

The speed of the bus is 74.242 kilometers per hour.

Step-by-step explanation:

Let suppose that bus runs at constant speed and that speed is measured in kilometers per hour. Then, the speed of the bus ([tex]v[/tex]), in kiometers per hour, is determined by following kinematic expression:

[tex]v = \frac{s}{t}[/tex] (1)

Where:

[tex]s[/tex] - Travelled distance, in kilometers.

[tex]t[/tex] - Time, in hours.

If we know that [tex]s = 2.45\,km[/tex] and [tex]t = 0.033\,h[/tex], then the speed of the bus is:

[tex]v = \frac{s}{t}[/tex]

[tex]v = 74.242\,\frac{km}{h}[/tex]

The speed of the bus is 74.242 kilometers per hour.

In right triangle ABC, A = 76° , a = 13 , and ∠C is the right angle. Solve the triangle.

Answers

Answer:

<A = 76°

<C = 90° ( Right angle )

<B = 90° - 76°

= 14°

Step-by-step explanation:

Hope it is helpful....

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