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

Can someone plz help me with this the answer choices are at the bottom plz I beg u

Answers

formula is v=1/3Bh
shape of base is rectangle/parallelogram
solution: 192cm^3
sorry if it’s wrong , been a while since i did it

Answer:

Step-by-step explanation:

Semih Bey, her katı eşit yükseklikte olan bir binanın -2. katından asansore binerek 5. kata çıkıyor Semih Bey toplamda3150 santimetre yüksemiştir buna göre binanın her bir katının yükseklığinin kaç santimetre olduğunu bılunuz.​

Answers

-2 ile 5 arasında 7 kat vardır
3150:7=450cm

inş anlamışsındır kolay gelsin :)

Can the side of a triangle have lengths 2,8,9?

Answers

Answer:

Yes

Step-by-step explanation:

The smaller two sides have to be greater than the biggest side.

2+8>9, so it can make a triangle.

What is the value of x?

Answers

Answer:

x=21

Step-by-step explanation:

Hello There!

In order to find the value of x we need to find the value of y

The angle labeled y and the right angle are vertical angles with the angle labeled 5y +10 therefore they are congruent

so y+90=5y+10

step 1 subtract y from each side

5y-y=4y

now we have

90=4y+10

step 2 subtract each side by 10

90-10=80

now we have

80=4y

step 3 divide each side by 4

80/4=20

so y =20

now we plug in y to (5y+10)

5x20=100

100+10=110

So now we can find x

The angle labeled 3x+7 is supplementary with the angle that is equal to 110

meaning that the sum of the two angles equal 180

so 180 = 3x+110+7

step 1 combine like terms

110+117

now we have

180=3x+117

step 2 subtract each side by 117

180-117=63

now we have 3x=63

step 3 divide each side by 3

63/3=21

so we can conclude that x = 21

Answer:

x = 21°

Step-by-step explanation:

y = 180° - 90° - (3x+7)°

y = 83° - 3x

(5y + 10) and (3x + 7) are supplementary angles (their sum is 180°) so:

(5y + 10) + (3x + 7) = 180°

reduce:

5y + 3x = 163°

substitute for y:

5(83° - 3x) + 3x = 163°

415° - 15x + 3x = 163°

reduce:

-12x = -252

divide both sides by -12:

x = 21°

y = 83° - 3(21°) = 20°

check:

(5(20) + 10) + (3(21) + 7) = 180°

110° + 70° = 180°

what is the product of 4(y)= and
4(5)=

pls answer fast

Answers

Step-by-step explanation:

4(5) is 20 bit im not sure exactly what your other question is asking!!?

True or False: {5, 6, 7...10) is an example of an infinite set.

Answers

True


Explain - true
This is true. The elements of the set can’t be counted in a finite number.

What is 8^3x4+6^2-37+69x2^3?




I saw a hummingbird o-o

Answers

Answer:

awwwww

Step-by-step explanation:

Cool!

Answer:

:O That's so cool

Step-by-step explanation:

I've seen only one for the entire time I've been alive, lol

16/21 × 20/24 × 28/15​

Answers

Answer:

32/27

Step-by-step explanation:

Answer:

32/27

Step-by-step explanation:

16/21 × 20/24 × 28/15

16/21 × 5/6 × 28/15

16/3 × 5/6 × 4/15

16/3 × 1/6 × 4/3

8/3 × 1/3 × 4/3

32/27 is your answer

What do I do!! mike cuts 4 equal pieces. What is the angle measure of each piece? Write and solve the equation

Answers

Question:

Mike cut a round pizza into 4 equal pieces. What is the angle measure of each piece?

Answer:

[tex]Angle = 90[/tex]

Step-by-step explanation:

Given

Round pizza

[tex]Pieces = 4[/tex]

Required

Angle measure of each

In a round object, the total angle is 360.

So, the angle of each piece is calculated by dividing 360 by the number of pieces (4)

So, we have:

[tex]Angle = 360/4[/tex]

[tex]Angle = 90[/tex]

A bird's path is modeled by the following graph. Use the graph below to answer
the questions to the right:
h (height (feet)

A) what is the greatest height the bird reached?

B) At 5 seconds, was the bird going up or down?

Answers

Answer:

The greatest height the bird reached was 26 feet

At 5 seconds the bird was going down.

Step-by-step explanation:

PLZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPP

Answers

Answer:

The answer is d because there should be tests for both groups.

h(t) ={ 17, t=17
{-34/t, t=19
{ 23 -t, t=17,19

h(17) =

Answers

Answer:

=17

Step-by-step explanation:

khan

what is 40% off of $400.00

Answers

40% off of $400 is 240

Answer:

$240

To find 40% of $400:

40% (or .4) • $400 = $160

**$160 is 40% of 400**

To find 40% **OFF** of $400:

$400 - $160 = $240

write the following number in standard form plezz

7.6 x 10^3

Answers

10^3=1,000

Anything multiplied by 1 is that number. In this case, multiply 7.6 by 1, then add 3 zeroes.

---

hope it helps

Answer:

7,600

Step-by-step explanation:

when you have to multiply by 10 to a power, you just move the decimal to the left as many times as by the power

What is 3.2 × 10^3 × 2000 in standard form

Answers

Answer:

The answer is

6.4×10^6

Many ATM machines in Las Vegas casinos charge a $6 fee each time a person withdraws money. If Adam used the ATM 3 times last Saturday at the Bellagio in Las Vegas, how much money was taken out of his checking account in ATM fees?

Answers

Answer:

$18

Step-by-step explanation:

Christopher spent a total of 52.50 at a bookstore he purchased a calendar for 9 and three books that cost the same

Answers

Answer:

Cost of each book = 14.5

Step-by-step explanation:

Given:

Total amount spend = 52.50

Cost of calendar = 9

Number of books = 3

Assume;

Cost of each book = a

Find:

Cost of each book

Computation:

Total amount spend  = Cost of calendar + Number of books(Cost of each book)

52.50 = 9 + 3(a)

Cost of each book = 14.5


What is the vertex for the following quadratic?
f(x)= 2x^2-12x+16

Answers

Answer:

(3, -2)

Step-by-step explanation:

To find the vertex, put the equation into vertex form by completing the square

2(x^2 - 6x) + 16  [pulling out the 2]

2(x^2 - 6x + 9) - 18 + 16 [completing the square, you subtracted 2*9 = 18 so you also add 18]

2(x - 3)^2 - 2 [simplify the equation]

vertex is (3, -2)

Factor the expression using the GCF. A. 2(4a + 8c) B. 4(2a + 4c) C. 8(a + 2c) D. 16( 12 a + c) Not multiple choice

Answers

Note: The expression is missing. Consider the expression is [tex]8a+16c[/tex].

Given:

The expression is

[tex]8a+16c[/tex]

To find:

Factor form of the given expression by using GCF.

Solution:

We have,

[tex]8a+16c[/tex]

Factors of each term:

[tex]8a=2\times 2\times 2\times a[/tex]

[tex]16c=2\times 2\times 2\times 2\times c[/tex]

The common factors are 2, 2 and 2. So,

[tex]GCF(8a+16c)=2\times 2\times 2[/tex]

[tex]GCF(8a+16c)=8[/tex]

Taking out the greater common factor (GCF) in the given expression, we get

[tex]8a+16c=8(a+2c)[/tex]

Therefore, the required expression is [tex]8(a+2c)[/tex] and the correct option is C.

A=2(b-c) solve for b
I need help please

Answers

Answer:

[tex]\frac{A+2c}{2}[/tex] = b

Step-by-step explanation:

A = 2(b-c)

Distribute

A = 2b - 2c

+2c         +2c

A + 2c = 2b

/2           /2

[tex]\frac{A+2c}{2}[/tex] = b

Calculate the area of the isosceles trapezium drawn below:

Answers

Answer:

the formula is :

area = 1/2(b1 + b2) x h

in this case it's :

area = 1/2(3 + b2)x 4

You will need the length of the lower base to solve it.

Step-by-step explanation:

I need help with the equation.

Answers

Answer:

h;ikl

Step-by-step explanation:

There are 2 sandwiches, 6 drinks, and 1 dessert to choose from. How many lunch specials are possible?

Answers

i think that would be 9

Answer:

24?

Step-by-step explanation:

-5x+9=24
WILL GIVE BRAINLIEST

Answers

Answer:

x = -3

Step-by-step explanation:

24-9= 15

15/-5=-3

Answer:

-3.

Step-by-step explanation:

-5 x -3 = 15

15 + 9 = 24

Hope I helped, Have a good day!

PLEEEEEEASE HELPPPPPP

Answers

Answer:

Row 1

Step-by-step explanation:

If you divide the number of oranges in each row by their number of boxes, you always get 13 oranges per box.

(156/12 = 13)

(130/10 = 13)

(91/7 = 13)

(65/5 = 13)

But, in Row 1, he made a mistake: 13/2 = 6.5 The mistake here is that Row 1's "number of boxes" should be 1, not 2, to make this eqation true. If we did this, then we will get 13 as our "number of oranges" instead of 6.5, becuase the equation will now be 13/1 = 13 and his table will be correct.

Row 1 has the mistake.

WILL GIVE BRAINLIEST!
Solve. Use the discount equation
S = R − rR,
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An exercise bike is on sale for $330, having been marked down 25% off the regular price. Find the regular price.

Answers

Answer:

$440

Step-by-step explanation:

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Submit Exam
Which of the following arithmetic operations would be best used to solve the system of
equations by elimination?
7x - 2y = 8
>
5x + 2y = 4
addition
subtraction
multiplication
division
20 Of 22

Answers

you must use addition method

Please help, please. I will pray for your whole family everyday and I will do what ever you want but pleeeeeeeeeeeease help me.

Answers

Just wanna let you know that these file answers are completely fake.

NEED HELP
LLEAE HELP

Answers

Answer:

theres nothing its just black

Step-by-step explanation:

Answer:

There is nothing there, but if you add a photo I can edit this comment and add a answer, but other than that thx for the points, and can I have brainliest if thats all right

Step-by-step explanation:

Please help me with the question

Answers

Answer:

4p,q+r

4p(q+r)

4pq+4pr

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