Find y, ST and TU
Please help!

Find Y, ST And TUPlease Help!

Answers

Answer 1

Given:

[tex]ST=4y,TU=2y+6[/tex]

To find:

The value of  y, ST and TU.

Solution:

In triangle STV and UTV,

[tex]m\angle TSV\cong n\angle TUV[/tex]            (Given right angles)

[tex]m\angle SVT\cong n\angle UVT[/tex]            (Given)

[tex]TV\cong TV[/tex]            (Common side)

The corresponding two angles and a non included sides in both triangles are congruent. So, the triangles are congruent by using AAS congruence postulate.

[tex]\Delta STV\cong \Delta UTV[/tex]           (AAS congruence postulate)

Corresponding parts of congruent triangles are congruent. So,

[tex]ST\cong UT[/tex]              (CPCTC)

[tex]4y=2y+6[/tex]

[tex]4y-2y=6[/tex]

[tex]2y=6[/tex]

[tex]y=3[/tex]

Now,

[tex]ST=4y[/tex]

[tex]ST=4(3)[/tex]

[tex]ST=12[/tex]

And,

[tex]TU=2y+6[/tex]

[tex]TU=2(3)+6[/tex]

[tex]TU=6+6[/tex]

[tex]TU=12[/tex]

Therefore, [tex]y=3,\ ST=12\ units,\ TU=12\ units[/tex].


Related Questions

please help with my geometry

Answers

Answer: 9.90

Step-by-step explanation:

tan 48= 11/x

1.11=11/x

1.11x=11

x=9.90

The staircase has three identical parallelogram-shaped panels. The horizontal distance between each panel is 4.25 inches. The area of each panel is 287 square inches. What is the value of x ?

Answers

*see attachment for diagram

Answer:

x = 20.5 in.

Step-by-step explanation:

What we are requested to find is the height of the panel/parallelogram = x

Area of each panel = base × height = 287 in.²

Given that the total length of the 3 panels which includes the length of the 2 gaps within them = 50.5 in., first, let's find the base length of each panel.

Base length of each panel = (total length - length of the 2 gaps in between the 3 panels) ÷ 3

= (50.5 - 2*4.25) ÷ 3

= 42 ÷ 3

Base length of each panel = 14 in.

✔️Next is to find the height of the panel, x.

area of parallelogram = base × height

Base = 14 in.

height = x

Area = 287 in.²

Plug in the values

287 = 14 × x

287 = 14x

Divide both sides by 14

287/14 = x

20.5 = x

x = 20.5 in.

2x + 3 = 23 steps for x?

Answers

Answer:

x=10

Step-by-step explanation:

work in the photo

Answer:

x=10

Step-by-step explanation:

Subtract 3 from both sides

2x=23-3

Simplify 23-3 to 20

2x=20

Divide both sides by 2  

x=  2 0/2

Simplify 20/2 to 10

x=10

​  

 

plssss help meeee it's due today​

Answers

Answer: use math papa.com

Step-by-step explanation:

Question

Find the difference. Type your answer in standard form

[tex](5n - 2) - (3n - 8) \\answer = 2n + 6[/tex]

Janelle makes a profit of 10% when she sells a bag for $900
i. What is the cost price? ii. find out how much she should have sold it for to make a profit of 15%​

Answers

Answer:

i. 818.18

ii. 940.9

Step-by-step explanation:

SP = 900

or, CP + 10% of CP = 900

or, CP + 10/100 × CP = 900

or, 110CP = 90000

or, CP = 90000/110

CP = 818.18

for profit= 15%

SP = 9000/11 + 15% of 9000/11

= 940.9


Divide £2680 in the ratio 5:3:2.

Answers

Answer:

Step-by-step explanation:

1) find the total of the ratio parts

5 + 3 + 2 = 10 parts in total

2) divide the total by the amount

2680/10 = 268

3) multiply to find the specific ratios

5 * 268 = 1340

3 * 268 = 804

2 *268 = 536

The division of the number £2680 in the ratio 5:3:2 will be 1340, 804, and 536 respectively

What are ratios and proportions?

A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other.

Given that the number is £2680 and the ratio in which the number will be distributed is 5:3:2.

The number will be distributed as below:-

5 + 3 + 2 = 10 parts in total

Divide the total by the amount

2680/10 = 268

3) multiply to find the specific ratios

5 x 268 = 1340

3 x 268 = 804

2 x 268 = 536

To know more about ratios and proportions follow

https://brainly.com/question/2914376

#SPJ2

What's the area of the circle r=1.2 yd plss help

Answers

Answer: 1.44pi

Step-by-step explanation: just plug in 1.2 for r in a=pi(r^2)

Reparte 280 euros entre 3 personas, de forma que la 1º reciba el triple que la 2º y esta el doble de la3º

Answers

Answer:

x = 31.11

Step-by-step explanation:

Let us assume the third person receives be  x

Now the second person receives be 2x

And, the second  be 3(2x) = 6x

The total is 280

Now the equation is

x + 2x + 6x = 280

9x = 280

x = 31.11

What is the measure of ∠D to the nearest degree?

Answers

Answer:

Option A. 47°

Step-by-step explanation:

In the given triangle as per sine rule

sin F/DE = sin D/54

sin 71/70 = sin D/54

sin D = (54×sin 71)/70 = 54×0.9455/70 = 51.06/70 = 0.729

Therefore Option A. angle D = 47° is the answer.

Any smart people know this i’m not smart

Answers

Answer:

-8n² - 8n + 3

Step-by-step explanation:

Combine like terms (terms with the same variables, as well as the same amount of that variable).

(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

First, distribute the negative sign to all terms within the second parenthesis:

4n⁴ - 8n + 4 - 8n² - 4n⁴ - 1

Combine like terms:

(4n⁴ - 4n⁴) - 8n² - 8n + (4 - 1)

-8n² - 8n + 3

-8n² - 8n + 3 is your answer.

Answer:

Option 3

Step-by-step explanation:



What does the equation 3 + m = 8 mean?
A
Three plus eight equals m.
B
Three plus m equals eight.
С
m plus eight equals three.
D
Eight equals three m.

Answers

Answer:

The answer is B

- have a good day

B is correct just by following order of operations

Circumference = ×What is another way to write this?

Answers

Answer:

2 × pi × radius

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

Calculate simple interest :
a) P = 2500, rate 8% PA, T = 1 year
b) P = 4200, rate 6% P.A, T = 3 year
Nhen 6 added to a number gives 13​

Answers

Answer:

the simple interest in both cases is 200 and 756 respectively

Step-by-step explanation:

The computation of the simple interest is shown below:

As we know that

Simple interest = P × r% × t

So

a. Simple interest is

= 2,500 × 8% × 1

= 200

b. The simple interest is

= 4,200 × 6% × 3

= 756

Hence, the simple interest in both cases is 200 and 756 respectively

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Answers

i think the correct answer would be b:]
D is the answerrrrrrrrrrrrrrrrrrr

Of the males surveyed, what proportion selected small T-Shirt size

Answers

Answer:

this question doesn't make sense

Tonya is staring a jewelry business. She is going to sell b bracelets for $12.50 each and n necklaces for $22.50. Tonya wants to make at least $800 a month. Which inequality below models this situation? A 12.50n +22.50b≥80012.50n\ +22.50b\geq 80012.50n +22.50b≥800 B 12.50b+22.50n≤80012.50b+22.50n\leq 80012.50b+22.50n≤800 C 12.50b+22.50n≥80012.50b+22.50n\geq 80012.50b+22.50n≥800 D 12.50n+22.50b≤80012.50n+22.50b\leq 80012.50n+22.50b≤800

Answers

Answer:

C 12.50b+22.50n≥800

Step-by-step explanation:

Tonya is staring a jewelry business. She is going to sell b bracelets for $12.50 each and n necklaces for $22.50. Tonya wants to make at least $800 a month.

When we use the word at least in Mathematics is means that it is equal to or more than $800.

It is represented by the symbol ≥

Number of bracelets = b

Number of necklaces = n

Therefore, the inequality below models this situation is given as:

$12.50 × b + $22.50 × n ≥ $800

= 12.50b + 22.50n ≥ 800

Option C is correct.

The dot plot shows the number of pretzels that were in each snack bag made for a party.
Number of Pretzels

How many snack bags were made for the party? Enter your answer in the box.

Answers

The answer is 440
I use a calculator

If 4/3 of water is enough to water 2/5 of plants , how much water is needed to water all plants ....Please add an explanation .

Answers

Answer:

10 by 3

Step-by-step explanation:

When 4 by 3 water is sufficient to water 2 by 5 of the plants so the water i.e. required to water all the plants is 10 by 3

As here we multiply both the fractions by reciprocal the second fraction

So the water i.e. needed to water all plants is 10 by 3

Help Math if u dont know it plz dont answer THIS IS TIMED

Answers

Answer:

Option B will be your answer

Step-by-step explanation:

hope it helps

Answer:

B is the correct one

Step-by-step explanation:

Hope that helps

[AB] is a diameter of center C(O, 3cm). M is a point on (C) such that MA=MB. D is the symmetric of A with respect to M.
What is the nature of triangle AMB? Justify.​

Answers

Answer:

Isosceles right triangle.

Step-by-step explanation:

From the given triangle ABM,

AM ≅ MB [Given]

∠AMB is an angle subtended by the diameter AB.

By theorem, angle subtended by a diameter is always 90°.

m∠AMB = 90°

So the given triangle is a right triangle with two equal sides AM and MB.

Therefore, ΔAMB is an isosceles right triangle.

Bailey , a Labrador retriever has a litter of 10 puppies. Four are black. At the rate how many puppies in a litter of 5 would be black.

Answers

Answer: 2

Step-by-step explanation:

Given

In a litter of 10 Puppies, 4 are black i.e.

[tex]\Rightarrow \dfrac{4}{10}\times 100=40\%\ \text{of puppies are black}[/tex]

In a litter of 5, there would be

[tex]\Rightarrow 5\times 40\%=5\times 0.4=2[/tex]

There are 2 black puppies

A parabola with an equation of the form y=ax^2+bx+c has the point (3, 1) as its vertex. If (1, 3) also lies on this parabola, which of the following is another point on the parabola? A. (2, 6) B. (−3, −1) C. (5, 3) D. (2, 2) E. (−1, −3)

Answers

Answer:

(5,3)

Step-by-step explanation:

I plotted the point (3,1) on desmos graphing caculator and labeled it as the vertex.

Next I plotted the point (1,3).

Then I counted the spaces between point 1,3 and 3,1 as shown in the picture

Finally I graphed the point and connected the lines to make sure it looked like a parabola.

What kind of fraction will you have when the percent is over 100%

Answers

Answer:

100% means “100 out of 100” — in other words, everything. So when you say you have 100% confidence in someone, you mean that you have complete confidence in them. But a lot of times, percentages larger than 100% are perfectly reasonable.!

Answer:

"Improper Fraction"

Step-by-step explanation:

An improper fraction is a fraction where the numerator exceeds the denominator. When the percent is over 100%, then technically the numerator is exceeding the denominator when the percentage is converted to a fraction.

Example:

110%convert to fraction... [tex]\frac{110}{100}[/tex]simplify... [tex]\frac{11}{10}[/tex]

You can go further by making it a proper fraction but that is beyond the current problem we are solving.

Sandra uses 2/25 kilogram of cocoa powder in each serving of her famous cocoa drink. She has 1 1/10 kilograms of cocoa powder. How many servings can Sandra make?​

Answers

Answer:

13 servings

Step-by-step explanation:

(11/10) / (2/25)

= 13.75

She can make 13 servings [not enough to make up to 14 servings]


Increase £3.20 in the ratio 2:3
Please show your working out (/formulae).​

Answers

Answer:

£4.80

Step-by-step explanation:

Total amount =  £3.20

Ratio = 2 : 3

Old : New = 2 : 3

3.20 : x = 2:3

[tex]\frac{3.20}{x}=\frac{2}{3}\\\\3.20*3=2*x\\\\\frac{3.20*3}{2}=x\\\\x = 1.60 *3\\[/tex]

x = £ 4.80

Which of the following is another way of expressing 4 out of 5

Answers

Answer:

4/5

Step-by-step explanation:

I believe this is looking for a fraction? 4 over 5 or 4/5 means 4 out of 5.

In other forms like ratio 4:5 ratio 4/5 fractions

Aleksandra started studying how the number of branches on her tree grows over time. Every 1.51.51, point, 5 years, the number of branches increases by an addition of \dfrac{2}{7} 7 2 ​ start fraction, 2, divided by, 7, end fraction of the total number of branches. The number of branches can be modeled by a function, NNN, which depends on the amount of time, ttt (in years). When Aleksandra began the study, her tree had 525252 branches. Write a function that models the number of branches ttt years since Aleksandra began studying her tree. N(t) =N(t)=N, left parenthesis, t, right parenthesis, equals

Answers

Answer:

52(9/7)^t/1.5

Step-by-step explanation:

The function N(t) a which models the number of branches t years after Aleksandra began studying her trees ;

Initial number of branches = 52

Increment every 1.5 years = 2/7

N(t) = Initial * (1 + r)^t

t expressed per year = t/1.5

Hence,

N(t) = 52(1 + 2/7)^t/1.5

N(t) = 52(9/7)^t/1.5

A Traveller changed EC $1800 to Barbados currency. Calculate the amount received

Answers

Answer:

1350 bajan dollar

Step-by-step explanation:

The exchange rate of EC dollar to Barbados currency is

1 EC dollar = 0.75 Barbados currency

EC $1800 in Barbados currency = EC $1800 x 0.75 = 1350 bajan dollar

50 points! Given the vertices A(-4,6), B(6,6), C(6,2),find the circumcenter. I will mark brainliest. Random answers will be reported

Answers

Answer:

(1, 4)

Step-by-step explanation:

The circumcenter is the intersection of the perpendicular bisectors.

Find the two equations for the perpendicular bisectors and solve the system for intersection point.

Given the vertices A(-4,6), B(6,6), C(6,2)

Find the slope and midpoint of AB and BC

m(AB) = (6 - 6)/(6 - (-4)) = 0, this is a horizontal segment

M(AB) is

x = (-4 + 6)/2 = 1, y = (6 + 6)/2 = 6

Perpendicular bisector is a vertical line that passes through (1, 6) so its equation is:

x = 1

m(BC) is undefined as x-coordinates are same, so the segment is vertical

M(BC) is

x = (6 + 6)/2 = 6, y = (6 + 2)/2 = 4

Perpendicular bisector is a horizontal line that passes through (6, 4) so it is:

y = 4

The intersection of the lines x = 1 and y = 4 is the point (1, 4)

The circumcenter is point (1, 4)

I need this done today whoever gets this correct gets brainliest!!! PLZZ HELPP MEE!!!
hurryy!!

Answers

Explanation is in the file

tinyurl.com/wpazsebu

I’m pretty sure the answer is c I’m so sorry if I’m wrong
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