1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bixtya [17]
2 years ago
5

Find the value of x........................

Mathematics
1 answer:
Ann [662]2 years ago
3 0

Answers: x = 4 and y = 3

============================================================

Explanation:

Triangle UBD is congruent to triangle RAN

Note the order of the lettering as it's important.

BD and AN are the last two letters of UBD and RAN in that order. Therefore, these sides correspond and BD = AN. From that, we know,

BD = AN

2y+5 = 3y+2

5-2 = 3y-2y

3 = 1y

y = 3

-----------

Using similar logic, UD and RN are the first and last letters of UBD and RAN respectively. So,

UD = RN

15 = 2x+7

2x+7 = 15

2x = 15-7

2x = 8

x = 8/2

x = 4

You might be interested in
There are 454 grams in a pound. Convert 330 grams to ounces.How many centimeters are in a kilometer?
puteri [66]

Answer:

<u><em>11.6404 ounces.</em></u>

<u><em>100,000 centimeters in a kiliometer</em></u>

Step-by-step explanation:

Plz mark brainliest.

3 0
3 years ago
Read 2 more answers
Prove the following
fomenos

Answer:

Step-by-step explanation:

\large\underline{\sf{Solution-}}

<h2 /><h2><u>Consider</u></h2>

\rm \: \cos \bigg( \dfrac{3\pi}{2} + x \bigg) \cos \: (2\pi + x) \bigg \{ \cot \bigg( \dfrac{3\pi}{2} - x \bigg) + cot(2\pi + x) \bigg \}cos(23π+x)cos(2π+x)

<h2><u>W</u><u>e</u><u> </u><u>K</u><u>n</u><u>o</u><u>w</u><u>,</u></h2>

\rm \: \cos \bigg( \dfrac{3\pi}{2} + x \bigg) = sinx

\rm \: {cos \: (2\pi + x) }

\rm \: \cot \bigg( \dfrac{3\pi}{2} - x \bigg) \: = \: tanx

\rm \: cot(2\pi + x) \: = \: cotx

So, on substituting all these values, we get

\rm \: = \: sinx \: cosx \: (tanx \: + \: cotx)

\rm \: = \: sinx \: cosx \: \bigg(\dfrac{sinx}{cosx} + \dfrac{cosx}{sinx}

\rm \: = \: sinx \: cosx \: \bigg(\dfrac{ {sin}^{2}x + {cos}^{2}x}{cosx \: sinx}

\rm \: = \: 1=1

<h2>Hence,</h2>

\boxed{\tt{ \cos \bigg( \frac{3\pi}{2} + x \bigg) \cos \: (2\pi + x) \bigg \{ \cot \bigg( \frac{3\pi}{2} - x \bigg) + cot(2\pi + x) \bigg \} = 1}}

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

<h2>ADDITIONAL INFORMATION :-</h2>

Sign of Trigonometric ratios in Quadrants

  • sin (90°-θ)  =  cos θ
  • cos (90°-θ)  =  sin θ
  • tan (90°-θ)  =  cot θ
  • csc (90°-θ)  =  sec θ
  • sec (90°-θ)  =  csc θ
  • cot (90°-θ)  =  tan θ
  • sin (90°+θ)  =  cos θ
  • cos (90°+θ)  =  -sin θ
  • tan (90°+θ)  =  -cot θ
  • csc (90°+θ)  =  sec θ
  • sec (90°+θ)  =  -csc θ
  • cot (90°+θ)  =  -tan θ
  • sin (180°-θ)  =  sin θ
  • cos (180°-θ)  =  -cos θ
  • tan (180°-θ)  =  -tan θ
  • csc (180°-θ)  =  csc θ
  • sec (180°-θ)  =  -sec θ
  • cot (180°-θ)  =  -cot θ
  • sin (180°+θ)  =  -sin θ
  • cos (180°+θ)  =  -cos θ
  • tan (180°+θ)  =  tan θ
  • csc (180°+θ)  =  -csc θ
  • sec (180°+θ)  =  -sec θ
  • cot (180°+θ)  =  cot θ
  • sin (270°-θ)  =  -cos θ
  • cos (270°-θ)  =  -sin θ
  • tan (270°-θ)  =  cot θ
  • csc (270°-θ)  =  -sec θ
  • sec (270°-θ)  =  -csc θ
  • cot (270°-θ)  =  tan θ
  • sin (270°+θ)  =  -cos θ
  • cos (270°+θ)  =  sin θ
  • tan (270°+θ)  =  -cot θ
  • csc (270°+θ)  =  -sec θ
  • sec (270°+θ)  =  cos θ
  • cot (270°+θ)  =  -tan θ
7 0
3 years ago
Read 2 more answers
What is the value of x, the side length of the smallest square (please show work) Thanks!
Ratling [72]

Answer:

8 cm

Step-by-step explanation:

Ok lets on the biggest square we have 17 cm

17cm is the hypotenuse for the right triangle

The second largest's area is 225 cm^2

Sq root of 225 cm^2, is 15

To find x, lets plug the info we have to the pythagorean theorom

a^2 + b^2 = c^2\\a^2 + 15^2 = 17^2\\a^2 + 225 = 289\\\\289 - 225 = a^2\\64=a^2\\a = 8 cm

The side length of the smallest Square is 8 cm

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

7 0
3 years ago
Christine's gross monthly salary at her job
jonny [76]

Answer:

  $2587.87 per month

Step-by-step explanation:

The listed deductions are ...

  • 25% withheld for federal income tax
  • 9.3% withheld for California state income tax
  • 6.2% withheld for Social Security tax
  • 1.45% withheld for Medicare Tax
  • 0.9% withheld for SDI- Disability Insurance
  • 5% goes into her retirement 401K account
  • $150 goes to health insurance/ dental for her family

The percentages have a total of ...

  25 +9.3 +6.2 +1.45 +0.9 +5 = 47.85 . . . percent

So, Christine's take-home pay is ...

  $5250(1 -0.4785) -150 = $2587.87 . . . per month

7 0
3 years ago
Helppp!!!! please!!!
Vitek1552 [10]

Answer:

d. 15 square yard

Step-by-step explanation:

area \: of \: shape \\  =  \frac{1}{2}  \times base \times height \\  \\  =  \frac{1}{2}  \times 10 \times 3 \\  \\  =  \frac{1}{2}  \times 30 \\  \\  = 15 \:  {yd}^{2}

4 0
3 years ago
Read 2 more answers
Other questions:
  • There are 250 blue and yellow beads in a box. There are 60 fewer yellow beads than blue beads in the box.what percent of the bea
    5·1 answer
  • What is 941 divided by 24
    7·2 answers
  • Perform the stated transformation on the parent function f(x) = x2
    13·1 answer
  • A bakery offers a sale price of $2.50 for 4 muffins What is the price for a dozen muffins?
    11·2 answers
  • 5.A. Jonah filled a box and said its volume was 25 balls. Shandra filled the same box and said its volumen was 36 cubes. Explain
    7·1 answer
  • What is the volume of this prism?
    9·1 answer
  • 5.) What is the mean of the data?<br> 3, 3, 5, 5, 5, 7, 7, 8, 15, 15
    15·1 answer
  • ENS
    5·1 answer
  • A pair of parallel lines is cut by a transversal:
    9·2 answers
  • Simplify the expression:<br> 3x4+1=d
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!