Find the value of x and y. Triangle MNP = triangle TUS

Find The Value Of X And Y. Triangle MNP = Triangle TUS

Answers

Answer 1

Answer:

x = 32, y = 51

Step-by-step explanation:

Since the triangles are congruent then corresponding sides and angles are congruent, that is

∠ U = ∠ N

∠ N = 180° - (142 + 24)° = 180° - 166° = 14° , then

2x - 50 = 14 ( add 50 to both sides )

2x = 64 ( divide both sides by 2 )

x = 32

and

NP = US

2x - y = 13

2(32) - y = 13

64 - y = 13 ( subtract 64 from both sides )

- y = - 51 ( multiply both sides by - 1 )

y = 51

Answer 2

Using the triangle theorem, the values of x and y is 32° and 51° respectively

From △MNP

∠M + ∠N + ∠P = 180° (Sum of interior angles in a triangle)

N = 180 - (142 + 24)

N = 180 - 168

N = 14°

Equate the expression :

2x - 50 = 14

2x = 14 + 50

2x = 64

x = 64 / 2

x = 32°

From ; 2x - y = 13 _____(1)

Substitute x = 32 into the expression ;

2(32) - y = 13

64 - y = 13

64 - 13 = y

51° = y

Therefore, the values of x and y is 32° and 51° respectively.

Learn more : https://brainly.com/question/8317316


Related Questions


You flip a coin 13 times. What is the probability that you get at most 3 heads? Enter your answer as a
fraction in simplest form.

Answers

Answer:

About 23%

Step-by-step explanation:

Do 23% × 13, and it show about 3 as the answer.

simplify the expression– 6m–3m2+ – 7m+ – 6m2+ – m–9

Answers

Answer:

-14m -9m2 -9

Step-by-step explanation:

-6m -m -7m -3m2 -6m2 -9

I rlly need help with this

Answers

You need to give more info so like show more of the question

We Need more info ok

Please help ASAPppppppp

Answers

Answer:

206 miles more

Step-by-step explanation:

Divide 2240 and 28 and you get 280 then divide 2368 and 32 and subtract 280- 74

I think it’s 206 miles more

sumbody help please . no links or files

Answers

Answer:

144

Step-by-step explanation:

I will  explain later kinda busy

6x4x12=288

288/2 (because it is a triangle and triangles are half of squares)

7)
A rectangular container is 40 cm by 30 cm by 25 cm. It is filled with
3
water up to 5
of its height. Half of the water is then poured out. How
much water is left in the container? Give your answer in litres.​

Answers

Answer: 9 L

Step-by-step explanation:

Given

The dimension of the rectangular container is [tex]40\times 30\times 25\ cm^3[/tex]

It is filled with [tex]\frac{3}{5}[/tex] of the height

Water present in the container

[tex]\Rightarrow 40\times 30\times 25\times \dfrac{3}{5}\\\\\Rightarrow 18000\ cm^3[/tex]

Also, [tex]1\ L=1000\ cm^3[/tex]

[tex]\therefore 18,000\ cm^3=18\ L[/tex]

Now, half of the water is poured out

So, half is left

[tex]\Rightarrow \dfrac{18}{2}=9\ L[/tex]

Thus, 9 L of water is left in the container

What’s the answer???? Need help y’all!

Answers

Answer:

D. HFE is congruent to FHG

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Congruency.

Since here the congruency satisfied is SAS (side-angle-side)

hence the correct option is

D.) ∆HFE =~ ∆FHG

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

108 mm^3

Step-by-step explanation:

the formula for a right rectangular pyramid is lwh/3, so if you multiply 6, 6, and 9, you'll get 324

324/3=108

Martha Washington Elementary School has a right triangular playground. There are swings at point A, a slide at point B, and a jungle gym at point C.
It is 60 feet between the slide and the jungle gym. Find the distance between the jungle gym and the swings.

Answers

60+90=180

=150

180-150

= -30

brainyest pls

The distance of the jungle gym to swing is 120 feet.

We have given that the diagram

we have to find the distance between jungle gym and swings is,

What is the formula for 30-60-90 theorem?

suppose that x is shorter length then the hypotenuse is 2x and  [tex]x\sqrt{3}[/tex]

is the longer length

By using the Pythagoras formula we have

The length of CA is,

[tex]CA=60(2)=120[/tex]

Therefore the distance of the jungle gym to swing is 120 feet.

To learn more about the right angle triangle visit:

https://brainly.com/question/343682

how to find the following on this tangent equation

Answers

Answer:

17y

Step-by-step explanation:

since the distance of the the two DE and CE is equal to the radius you can compare the two triangles BDE and CDE. since they have two equal sides and one shared side their third side must be equal as well leaving you with DE = CE
15y - 50 = 17y - 62
62 -50 = 17y - 15y
12 = 2y
6 = y
Knowing that y=6 you can conclude that DE=CE=40mm
Since BD and ED create a right angle (sane as CB and CD) you can use the pythagorean theorem to calculate BE
BE^2= CE^2+CB^2
BE^2 = 30^2 + 40^2
BE^2 = 2500
BE = 50mm
im not sure about the last question sorry

3 tons and 700 pounds = how many pounds​

Answers

Answer:

1 ton=2,000 pounds so 6,700 pounds

Step-by-step explanation:

Which of the following is a true statement about functions?
O A. If A and B are matrices, then AB = BA.
B. If fand g are functions, then (f+g)(x) = (8+)(x).
C. If fand g are functions, then (fºg)() = (8 ©f(x).
O D. If fis a function, then Ma+h) =f(a)+fh).

Answers

I think the answer is A

Carlos is buying a shirt that costs $20 the sales tax is 9% what is the total cost of the shirt including tax

Answers

Answer:

$21.8

Step-by-step explanation:

Carlos is buying a shirt that costs $20 the sales tax is 9% what is the total

Given data

Cost= $20

Tax= 9%

Amount of tax=

9/100*20

0.09*20

1.8

Total amount

=1.8+20

=$21.8

HWLP PLLLLLLLLLLLLLZZZZZZZZZZZZZZZZZ

Answers

Answer:

7 hours

Step-by-step explanation:

Answer:

7 hours

Step-by-step explanation:

4x + 32 =60       -32  -32______________4x/4=28/4divide this (28/4) and your answer should be 7 hours

need help with solving perimeter and area

Answers

For perimeter Add all of them for the area multiply both side and u would get the answer

4.2 minus the product of 12 and a number

Answers

Answer:

Four minus the product of one and a number x is 4−(1×x) .

Step-by-step explanation:

Given : Expression 'Four minus the product of one and a number x'.

To find : Write the expression in algebraic form ?

Solution :

Writing the expression as,

The product of one and a number x is written as 1×x .

Four minus the product of one and a number x is written as 4− (1×x)

Re-write the expression in simplest form is 4−x .

Therefore, Four minus the product of one and a number x is 4−(1×x) .

What is the volume of a cylinder that has the following measurements?


area of each base: 50.24 ft2


area of lateral surface: 75.36 ft2


height of cylinder: 3 ft


128.6 ft 3

226.08 ft 3

150.72 ft 3

175.84 ft 3



bad answers will get banned good answers will get brainlist please

Answers

Volume of a cylinder = area of base x height:

50.24 x 3 = 150.72 ft^3

Answer:

150 ft³

Step-by-step explanation:

base = circle..................base area = area of the circle = πr².

to get the radius of the circle, we substitute from the formula.

let π be 3.142

3.142 × r² = 50.24.............................. 3.142r² = 50.24

divide both sides by 3.142 to get r² = 15.99....................find the square root of 15.99 to get r = 3.999.

VOLUME = πr²h

                = 3.142 × 3.999 ×3.999 × 3 = 150.72 ft³

This is another way of doing it.

(rcostheta = 6) convert to rectangular

Answers

x = 6, representing the straight line parallel to y-axis at a distance 6 units from the axis

x = r cos
θ
.


Solve for x
1
x

7
=
4

Give your answer as an improper fraction in its simplest form

Answers

Answer:

11

Step-by-step explanation:

1 x − 7 = 4

x=4+7=11

The perimeter of a chalkboard is 14 feet. The board is 4 feet long. How tall is it?
feet

Answers

Answer:

4 + 4=8

14-8= 6

6/2=3

3 is the answer

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

3 feet

Step-by-step explanation:

l = length

w = width

p = l + l + w + w

l = 4

w = x

2l + 2w = 14

2(4) + 2w = 14

8 + 2w = 14

2w = 6

w = 3

Please help and please don’t give me the bit link it doesn’t work for me

Answers

Answer:

C) There is no clear relationship between period and exam scores.

[tex]\mathtt{: )}[/tex]

Find the missing side.

Need help please. Need explanation, please.

Answers

This is basic trigonometry. First use SOH CAH TOA. Now look, you are finding opposite and adjacent so you use tangent. Now heres the equation - x/11 = tan48 now isolate the x. 11(tan48) = x.
Now plug into calculator and you get 12.2167

Answer:

x ≈ 12.22

Step-by-step explanation:

SOH CAH TOA(Tangent = opposite side/adjacent side)

tan (48°) = x/11

=> x = tan (48°) × 11

=> x ≈ 12.22

A dilation of (x, y) → (0.75x, 0.75y) is applied to a triangle. The resulting image coordinates are at (−3, −3), (3, 3), and (−2, −3). Which of the following could be a coordinate of the original figure?


(−1,−1)

(−4,−4)

(−1.5,−2.25)

(2.7,4)

Answers

Answer:

the third one

Step-by-step explanation:

3

Answer:

The third one

Step-by-step explanation:

3

Solving a word problem with two unknowns using a linear equation

A total of 629 tickets were sold for the school play. They were either adult tickets or student tickets. There were 71 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Answer:

350

Step-by-step explanation:

629= A+S

A-71 = S

629 = A+A-71

700=2A

A=350

Out of 400 people sampled, 368 had kids. Based on this, construct a 95% confidence interval for the true
population proportion of people with kids.
Give your answers as decimals, to three places

Answers

Answer:8.7

Step-by-step explanation:

I need help please!!

Answers

Answer:

12, 2 and 10

Step-by-step explanation:

(1)

b - 4 = 8 ( add 4 to both sides )

b = 12

(2)

y + 7 = 9 ( subtract 7 from both sides )

y = 2

(3)

16 = n + 6 ( subtract 6 from both sides )

10 = n

Help please I don’t know what to do

Answers

Answer:

B

Step-by-step explanation:

Combine Like terms

Answer:

The answer is letter B

Step-by-step explanation

Simply combine like terms in which

-2x^2 + 7x^2 = 5x^2

8x + 4x = 12x

-9 + 2 = 7

So we come up with the answer of the option letter B

Tell me the answer please. Give me a short answer and a step-by-step explanation.

Answers

Answer:

C

Step-by-step explanation:

we should set the equations based on what we know using y=mx+b

in the first set, we have m=5 and the +b as 100. This gives y=5x+100

in the second, we  m=20  and the +b of 10. This gives y=20x+10

I belive C would match this. Hope this helps!

Answer:

y=10x+20

y=5x+100

Step-by-step explanation:

in the diagram below, the measure of angle W is 5 times as large as the measure of angle X. what is the measure of angle W?

Answers

Answer:

D.   150°

Step-by-step explanation:

∠X and ∠W are supplementary

Let a = m∠X

Then 5a = m∠W

m∠X + m∠W = 180

a + 5a = 180

6a = 180

a = 30

m∠W = 5a = 5(30) = 150°

A bag contains six red marbles three green marbles and four blue marbles if we choose a marble then another marble without putting the first one back what is the probability that the first marble is blue and the second marble is red

Answers

Answer:

2/13

Explanation:

The bag has 6 red, 3 green, 4 blue.

Total marbles = 13

Probability of getting blue the first time would be 4/13 because 4 of the 13 total marbles are blue

Because you're not putting back the first marble, the total would go down to 12, so the probability of getting red the second time would be 6/12 or 1/2

The probability that the first marble is blue and the second marble is red = (4/13)(6/12) = 2/13

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