11. UZ, VX, and TW are medians of Triangle TUV. If UZ = 21, find UY.​

11. UZ, VX, And TW Are Medians Of Triangle TUV. If UZ = 21, Find UY.

Answers

Answer 1

Answer:

UY = 14

Step-by-step explanation:

The median of a triangle is the segment that joins a vertex and the midpoint of the side opposite to this vertex.The point of intersection of the medians of a triangle, divide each median at ratio 2: 1 from the vertex

In the given figure

∵ TUV is a triangle

UZ, VX, and TW are medians

∵ UZ ∩ VX ∩ TW at point Y

∴ Y is the point of intersection of the 3 medians

→ By using the 2nd rule above

∵ The point Y divide UZ at the ratio of 2: 1 from the vertex U

UY: YZ = 2: 1

∴ [tex]\frac{UY}{YZ}[/tex] = [tex]\frac{2}{1}[/tex]

→ By using cross multiplication

∵ UY × 1 = YZ × 2

UY = 2YZ

UZ = UY + YZ

∴ UZ = 2 + 1 = 3 parts

∵ UY = 2 parts

∴ [tex]\frac{UY}{UZ}[/tex] = [tex]\frac{2}{3}[/tex]

→ Multiply both sides by UZ

UY =  [tex]\frac{2}{3}[/tex] UZ

∵ UZ = 21

∴ UY =  [tex]\frac{2}{3}[/tex] (21)

UY = 14


Related Questions

In 1989, a baseball card was purchased for $6. Today, the value of the baseball card has increased by 425%. What is the current value of the baseball card?

Answers

Answer: $31.50

Step-by-step explanation:

We are told that the price of a baseball card was purchased for $6 but that the value of the baseball card has increased by 425%.

The current value of the baseball card would be:

= $6 + (425% × $6)

= $6 + (425/100 × $6)

= $6 + (4.25 × $6)

= $6 + $25.5

= $31.50

HELP PLEASE LOTS OF POINTS AND BRAINLIEST!!!


3C. With distances in feet, use the see saw principle to find the number of feet represented by N in the balanced seesaw

3D In the cryptarithm shown, different letters stand for different digits, and no leading digit can equal 0. Find the greatest possible value of “OFF”.

SAT/SUN/OFF

Answers

Answer:

N=5

Step-by-step explanation:

38N = 10*4 + (4+6)15

38N = 180

N=5

Answer:

Answer:

N=5

Step-by-step explanation:

Step-by-step explanation:

38N = 10*4 + (4+6)15

38N = 190

N=5

Your mother takes you to your grandparents' house for dinner. She drives 60
minutes at a constant speed of 40 miles per hour. She reaches the highway,
quickly speeds up, and drives for another 30 minutes at constant speed of 70
miles per hour. How far did you and your mother travel altogether?
Your answer

Answers

Answer:

75 Miles

Step-by-step explanation:

IS 3.
3y-2x
loss
Percentage loss =
X 100%.
selling price
is
Choose the correct answer from the given four alternaives.
In a school, 58% of the total numbers of students are boys. If the
number of girls is 840, how many students are there in the class?
a. 2000
b. 1800
C. 1500
d. 2100
Birr 300 is invested at 6% simple interest per annum. How long will it
take for the interest to amonut Birr 180?
a. 12 years
b. 10 years
c. 8 years
d. 24 years
The decimal form of 672.937% is
a.6.72937
d. 6729.37
b. 67.2937
c. 672.937
9. The simple interest on Birr 400 invested for 4 months was Birr 12.
What is the annual (yearly) rate of interest?
d) 9%
a. 36%
b. 4.8 %
c. 7%​

Answers

Answer:

1. a. 2,000

2. b. 10 years

3. a. 6.72937

4. d. 9%

Step-by-step explanation:

1. If 58% are boys, the percentage of girls is:

= 100 - 58

= 42%

That means 840 is 42% of the students in class. The students in class are therefore:

= 840 / 42%

= 2,000 students

2. If Birr 300 is invested at 6% per year, the amount in interest it earns per year is:

= 300 * 6%

= Birr 18

To get to Birr 180, it would take:

= 180/18

= 10 years

3. When a number is in percentage that means that it is a fraction with the denominator being 100. The number is decimal will therefore be it divided by 100:

= 672.937/100

= 6.72937

4. The investment accrued Birr 12 out of Birr 400 in 4 months. This means that it increased by:

= 12/400

= 3%

A year can be divided into three by 4 months. This means that the yearly rate is therefore:

= 3% * 3

= 9%

If y = (x-5)(x+7) then what does x equal?

Answers

Answer:

x = 5, x = -7

Step-by-step explanation:

If you mean find the roots, then x = 5 and x = -7

Because roots makes the equation equal to 0 and 5 - 5 = 0 and -7 + 7 = 0

2x^5-4x^3+6x^8
is this a trinomial with a coefficient of 2 or 6?

Answers

Answer:

6

Step-by-step explanation:

Coefficient: A number before the variable such as 4 in 4x.

When there is more than one term with coefficient the leading coefficient is always the one that is in the term with the highest exponent:

2x^5 and 6x^8

^8 is bigger than ^5, so that's the leading coefficient.

f(x) =-2 |x + 1|

how do I do this?

Answers

Answer:1

Step-by-step explanation: f(x)=-2 |x+1|

plug in the f(x) which is -2 into x to solve.

|-2+1|= |-1|= 1, it turns into positive 1.

Please help!!!! Needs to be answered soon!

Answers

Answer:

This is NOT a graph :)

Step-by-step explanation:

Yes, this is a relation a function

WEEEEEEEEEEEEEEEEEEEEEEE

isabelrainbow ur the best person in the world tysm i will remember u when i fail i swear :) jk UR THE BEST THO TYSM

Answers

YOU WILL NOT FAIL, YOU SHALL PASS

Answer: w^6/9

Step-by-step explanation:

first, i evaluated the powers.

3^-2 x 1 x 1/w^-6

then, i calculated those products.

3^-2/w^-6

then, i just expressed it with a positive exponent.

w^6/3^2

finally, i evaluated that.

w^6/9

the answer is 20 because 10 plus 10 a

Line ET is tangent to circle A at T, and the measure of arc TG is 46°.
What is the measure of ∠GET?

A: 44°
B: 136°
C: 67°
D: 90°

Answers

Answer:

[tex] m\angle GET = 67\degree [/tex]

Step-by-step explanation:

[tex] m\angle GET = \frac{1}{2} \times \bigg(m\widehat {TN} - m\widehat {TG} \bigg) [/tex]

[tex] m\angle GET = \frac{1}{2} \times \bigg(180\degree - 46\degree \bigg) [/tex]

[tex] m\angle GET = \frac{1}{2} \times \bigg(134\degree \bigg) [/tex]

[tex] m\angle GET = 67\degree [/tex]


-2 (m+3) - 5m = -34
Help please

Answers

Answer:

m = 4

Step-by-step explanation:

Given

- 2(m + 3) - 5m = - 34 ← distribute and simplify left side

- 2m - 6 - 5m = - 34

- 7m - 6 = - 34 ( add 6 to both sides )

- 7m = - 28 ( divide both sides by - 7 )

m = 4

When Nancy started middle school, she was 60 inches tall. When she started high school, she was 66 inches tall. What was the percent change in her height?

A. 6 percent increase
B. 9 percent increase
C. 10 percent increase
D. 90 percent increase

Answers

C it was a 10 percent increase

Answer:

C.

Step-by-step explanation:

Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week. Elena
starts with $10 in her savings account and adds $20 each week.
1. After four weeks, who has more money in their savings account? Explain how you know.
2. After how many weeks will Andre and Elena have the same amount of money in their savings accounts?

Answers

Answer:

Andre and 6 weeks

Step-by-step explanation:

because,20x4+10=90 and 5x4+100=

Hellooooo can sumbody answer this?

Answers

Answer:

D

Step-by-step explanation:

y=-x-4

First, we can match the graphs with the y-intercept of -4 given from the equation.

Only graphs C and D crosses the y-axis at -4.

The slope from the equation is -1.

If the slope is a negative number, the line should be negative as well, meaning the line should be going downwards (left to right always)

Out of graphs C and D, only graph D has a line going downwards and a y-intercept of -4.

Hope I was able to help! Good Luck!

Please help as soon as possible

Answers

Answer:

Step-by-step explanation:

the answer is No its not similar

because the factors don't work

To figure out a special number, Tammi’s mother was supposed to double her age and then add 4. Instead, Tammi’s mother added 4 to her age and then doubled that number. Tammi’s mother thought the special number was 80. What was the special number supposed to be?

Answers

Answer:

Step-by-step explanation:

36 plus 4 x 2 = 80 what her mom got but it’s 76 because 36x2 is 72 and 72 plus 4 is 76.

A train at the local fair is 6 feet long. This 1.10 scale of an actual passenger train. You want to draw a mural that includes a 1;30 scale picture of the actual passenger train.​

Answers

Answer:

Step-by-step explanation:

Which equation represents the line that passes through the points (-3, 7) and (9,-1)? oy--3x+5 o y=-x-7 o y=zx-7 oy - 12 2x+5​

Answers

Answer:

use the slope equation (y2-y1) / (x2 -x1). plug in values and solve

(-1 -7) / (9 -(-3)) (subtracting a negative is the same as adding a positive)

-8 / 12 (simplify)

m = -2/3

then, plug in one of the points and the slope into the slope-point equation.

(y - y1) = m (x - x1) (the point-slope form)

y - 7 = -2/3( x - (-3)) (plug in the slope and point 1 values, then solve)

y - 7 = -2/3x - 2 (add 7 to both sides)

y = 2/3x +5 (the answer)

Step-by-step explanation:

I hope this helps :))

Evaluate the power

(17) 2=____

If your answer is a fraction use the / as the fraction bar. NO SPACES

Answers

Answer:

289

Step-by-step explanation:

Raise 17 to the power of 2

Is this what you are asking for

289

Raise 17 to the power of 2

Which graph represents the system of inequalities?


3x+5y<10

x−y≤1

Answers

Answer:

I believe it's the one on the bottom left

Step-by-step explanation:

I'm still taking my test so I'll come back later to tell you if it's correct.

Answer:

It's the one on the bottom left

Step-by-step explanation:

A satellite photographs a path on the surface of the Earth that is 600 miles wide. Find the central angle that intercepts an arc 600 miles on the surface of the Earth​ (radius 3950​ miles).

WILL MARK BRAINLIEST

Answers

9514 1404 393

Answer:

  The central angle is about 8.7°.

Step-by-step explanation:

The relation between angle and arc length is ...

  s = rθ

where r is the radius, and θ is the central angle in radians.

  600 = 3950·θ

  θ = 600/3950 radians = (12/79)(180°/π)

  θ ≈ 8.7°

2. Which of the following is the solution of the system of equations shown? A. (−3, −4) B. (–3, 4) C. (3, 4) D. (3, –4)

Answers

Answer:

(3,-4)

Step-by-step explanation:

all you need to do is count to the side and count down from the axis's to the points. Its in the third quadrant so only the y axis would be negative

Hope this helps!

Brainliest would be much appreciated!

Someone please help me answer this question

Answers

Answer:

reeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

The answer is 1.5 mg

Find the value of x.

Answers

Answer:

x=6

Step-by-step explanation:

24=4x

divide both by 4

equals 6

Answer:

to find x we have to find the similarly between the smaller and the larger triangle

the two triangle are similar by side angle side(SAS) similarly therom.

we have to see carefully that the two triangle are similar but not congruent.

Step-by-step explanation:

so the bigger triangle is twice big as the smaller.

so 24/4x =2

8x=24

x=24/8

x=3

-7y-8=6y+18 i need help with this urgent!

Answers

Answer:

Y= -2

Step-by-step explanation:

José made these grades on tests: 78, 88, 98. Without doing any computing, what is his average?

Answers

Answer:

88 is the average

Step-by-step explanation:

78 + 88 + 98 = 264

264 / 3 = 88  ( you divide by the amount of numbers you have, in this case there are three numbers)

Q1: Fill in the blanks:
a) The number 3.23 can be expressed as fraction​

Answers

Answer:

yes, as 3  23/100

Step-by-step explanation:

because

Answer:

I think it could be 3 23/100

Step-by-step explanation:

Margo can purchase tile at a store for $0.99 per tile and rent a tile saw for $18. At another store she can
borrow the tile saw for free if she buys tiles there for $1.89 per tile. How many tiles must she buy for the
cost to be the same at both stores?

Answers

Answer:

She Can Buy 9 tiles before it goes over the price of the other store

Step-by-step explanation:

I multiplied 1.89 times 9 and I got the answer

Find the value of x in the given right triangle

X= ?

Answers

What are the answer choices?

Answer:

7.5 is the answer to the question

Step-by-step explanation:

using tan

p/5 = 10 what is p



It is for a late assignment!!! I have so many late assignments. I feel like crying.

sorry to many emotions.

Answers

Answer:

50

Step-by-step explanation:

p/5=10

Your main goal is to isolate p

p/5 = 10, in order to eliminate the 5, multiply 5 on both sides, since it's the inverse of division.

(5)p/5 = 10(5)

p=50

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