What is the value of x in the triangle?

What Is The Value Of X In The Triangle?

Answers

Answer 1

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The value of x is ~

[tex] \boxed{5 \sqrt{3} }[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

The Triangle stated in the diagram is a right angled Triangle, so

[tex] \tan(30) = \dfrac{x}{15} [/tex]

[tex] \dfrac{1}{ \sqrt{3} } = \dfrac{x}{15} [/tex]

[tex]x = \dfrac{15}{ \sqrt{3} } [/tex]

[tex]x = 5 \sqrt{3} [/tex]


Related Questions

i need help with how to reason it

Answers

Answer:

X=80

Step-by-step explanation:

As 100⁰ is Opposite to B and AD and EH Are PARALLEL so B=100⁰

180-100

=80⁰

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What is the missing divisor?
966 divided by ?=161

Answers

Answer: its 6

Step-by-step explanation: just divide 966 by 161 and the answer would be 6

The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the smaller number ?
×-(×+4)=52
×+(×+4)=52
×(×+4)=52
×(×-4)=52​

Answers

Answer:Let's assume x be the smaller number.

Given that, The greater number is 4 more than the smaller number.

So, greater number= x+4.

It's also given that, The sum of two numbers is 52. Which means sum of x and x+4 must be equa to 52. Hence,

x + (x + 4) = 52

Step-by-step explanation:

Find the values of x and y, and z

Answers

Answer:

z = 15

y = 8

x = 7

Step-by-step explanation:

All of the angles added together equal 180.

4z + 4z + 4z = 180

z = 15

3y - 1 = 23 ( all sides equal each other because all angles equal each other )

y = 8

2x + 9 = 23 ( similar to how I found y )

x = 7

I hope this helps!!

The value of an autographed baseball card increased from $39 to $65.
What is the percent increase in value of the baseball card? Round to the nearest hundredth of a percent.

Answers

Answer: The percent of increase is 66.67%.

Step-by-step explanation:

Find the percent of increase of baseball cards.

Step 1: Subtract the starting value from the final value.

                                       65 - 39 = 26

Step 2: Take the value you get and divide it by the starting value.

                                       26 ÷ 39 = 0.666667

Step 3: Multiply what you get by 100.

                                       0.666667 × 100 = 66.6667

Step 4: Round what you get the nearest hundredth of a percent.

                                        66.6667 → 66.67%

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

A.  b ≤  -3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

C

Step-by-step explanation:

Ron is 25 years old and is retiring at the age of 65. When he retires, he will need a monthly income of $4,123 for 20 years. If Ron contributes 10% of his monthly income to a 401(k) paying 5.5% compounded monthly, will he reach his goal for retirement given that his monthly income is 3,142.23? If he does not make his goal then state by what amount he will need to supplement his income. Round all answers to the nearest cent.a.Ron will meet his monthly goal of exactly $4,123 for retirement.b.Ron will meet his monthly goal of $4,123 for retirement with an excess of $125.34.c.Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.d.Ron will not make his monthly goal of $4,123 and will need $450.61 to supplement his monthly income when he retires.

Answers

Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.

What is Compound interest?

Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.

Given monthly income of Ron is $3,142.23

Ron is 25 years old and is retiring at the age of 65. so he has 40 years to contribute.

Total amount he contribute in 40 years paying 5.5% compounded monthly is given by

interest rate(r) = 0.055/12

time period = 40 years = 480 months

Principal amount = $314.223

Future value = [tex]P(\frac{(1+r)^{n}-1 }{r} )[/tex]

Substitute, we get,

= 3142.23 [tex].10(\frac{(1+\frac{0.055)^{12.40}-1) }{12} }{\frac{0.055}{12} }[/tex]

Thus, future value is $547074.681009.

After retirement his monthly income when he has $547074.681009 amount.

P = (A.i/2)/(1-(1+i/12)⁻ⁿ)

Putting values, we get,

P = (547074.68×0.55/12)/1-(1+0.055/12)⁻²⁴⁰

P = $3763.25

He will receive a monthly income of $3763.25.

But  given he will need a monthly income of $4,123 for 20 years, which is not met by Ron.

So, the amount he needs to supplement his monthly income when he retires by (4123-3763.25)= $359.74

Hence, Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.

For more references on Compound interest, click;

https://brainly.com/question/14295570

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Anna wants to bake $2\frac{1}{2}$ dozen cookies for a party. However, the recipe she has only makes a dozen cookies. If the original recipe calls for $1\frac{1}{4}$ cups of sugar, how many cups of sugar does she need to make the cookies for her party?

Answers

Lampz Got Put In A Spliff X Kobis Coffin 26. Divided by 9 + Ceemizz

ANSWER: Loudest spliff

(2x-1) (x+3)
Expand

Answers

Answer:

2x^2+5x-3

Step-by-step explanation:

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

find the missing triangle measurements. I WILL GIVE BRAINLIEST! PLEASE

Answers

Answer:

ABC= 60

DCE= 65

DEF= 105

Step-by-step explanation:

Answer:

60°; 65°; 115°

Step-by-step explanation:

ΔABC is equilateral since all sides marked as congruent. Therefore:

m∠ABC = 60°

ΔCDE is isosceles since two sides marked as congruent:

m∠DCE = m∠DEC = 1/2(180° - 50°) = 1/2(130°) = 65°

∠DEF forms a linear pair with ∠DEC, so they sum to 180°:

m∠DEF = 180° - 65° = 115°

Monica deposits ​$300 into a savings account that pays a simple interest rate of ​3.9%. Paul deposits ​400$ into a savings account that pays a simple interest rate of ​3.2%. Monica says that she will earn more interest in 1 year because her interest rate is higher. Is she​ correct? Justify your response.

Answers

Answer:

For Monica : Principle = $300 rate : 3.4% time 1 yr

Simple interest = Prt/100 = 300*3.4*1/100 = 1020/100= $ 10.2

For Paul : Principle = $400 rate : 2.8% time 1 yr

Simple interest = Prt/100 = 400*2.8*1/100 = 1120/100= $ 11.2

Step-by-step explanation:

What is the absolute value of - 2 2/3

Answers

Answer:

2 2/3

Step-by-step explanation:

absolute value means the distance between a number and 0 so therefore the absolute value s 2  2/3

Wayne took his family out to dinner. The cost of the food was $42.50. Wayne decided to give a 30% tip because of excellent service. The tax was 4% of the cost of the food. What was the total amount the meal cost him?​

Answers

Answer:

$56.29

Step-by-step explanation:

From a box of 120 mangoes, Brent sold 60%. How many mangoes were left?

Answers

Given:-

From a box of 120 mangoes, Brent sold 60%.

To Find :-

How many mangoes are left .

Solution :-

According to the question, box has 120 mangoes . The number of mangoes he sold will be ,

[tex]\longrightarrow[/tex] n(sold) = 60% of 120

[tex]\longrightarrow[/tex] n(sold) = 60/100 × 120

[tex]\longrightarrow[/tex] n(sold) = 3/5 × 120

[tex]\longrightarrow[/tex] n(sold) = 72

Hence the number of mangoes left will be ,

[tex]\longrightarrow[/tex] n(left) = 120 - 72

[tex]\longrightarrow[/tex] n(left) = 48

Hence the number of mangoes left is 48.

A phone is regularly priced at $350. If you get it on sale for 15% off, how much do you pay?

Answers

52.5

Explanation:
x/18. 30/100 cross multiply 30*18=5250
5250 divided by 100= 52.5
The answer is 52.5 because once you divide 5250/100 then you get 52.5

answer this 1 question​

Answers

Answer:

I have attached my answer below.

Step-by-step explanation:

Not sure if its correct or not. Hope this helps!!

si el examen tenia 44 puntos y saque 40 ¿Que nota tengo?

Answers

Answer:

90%

Step-by-step explanation:

help me it would be nice if you could help me

Answers

Answer: B (x=1)

The x-axis shows all the zeros (solutions).

If you were trying to find the slope and the equation of the line, you would go y/x for the slope.

While, b is the y axis, which is 3 in this case.

And the slope is 3/1, which is rise over run (y/x)

Linear equations: y = mx+b

Quadratic equation: ax^{2}+bx+c

(Not going to go in much more depth)

The equation of this line is y = 3x + 1

What is 5261.436 rounded to the nearest thousand?

Answers

Answer:

5261.436 would be the answer

The answer would be 5,000 for rounding to the nearest THOUSAND.

Hope this helped. :)

where the mathematicians at ☺️

Answers

Answer:

C.            

Step-by-step explanation:

It is correct because the line on the graph goes up (increases) then it goes back down (decreases)

Answer:

The graph increases, then decreases

Step-by-step explanation:

The graph goes up, showing it increases, then drops down, showing it decreases.

Hope this helps!

Sin x= cos y show that x+y=90

Answers

Answer:

just do sinx and cos y equal when x=y= multiple of pie by 4

Step-by-step explanation:

pie by 4 plus pie by 4 = 90

If I helped please mark brainliest it means a lot to my progression! <3 Thanks!

1). A home repair crew charges seventy-five dollars per day plus two hundred fifty-five
dollars for each hour the crew works. One day the crew works c hours and charges a
total amount of one thousand, six hundred five dollars. How many hours does the crew
work?

Answers

Answer:

Approx 3 hours.

Step-by-step explanation:

750 + 255c = 1605

255 c = 855

c = approximately 3 hours.

Answer:

The crew worked 6 hours.

Step-by-step explanation:

$255 x 6 = $1530

Add the "Per Day Fee" of $75

$1530 + $75 = $1605 Dollars

write a linear function

Answers

Answer:

The equation of a linear function is expressed as: y = mx + b where m is the slope of the line or how steep it is, b represents the y-intercept or where the graph crosses the y-axis and x and y represent points on the graph.

Step-by-step explanation:

Elizabeth invested $970 in an account paying an interest rate of 6\tfrac{5}{8}6 8 5 ​ % compounded daily. Matthew invested $970 in an account paying an interest rate of 6\tfrac{3}{4}6 4 3 ​ % compounded continuously. After 8 years, how much more money would Matthew have in his account than Elizabeth, to the nearest dollar?

Answers

Using continuous compounding and compound interest, it is found that Matthew would have $17 more than Elizabeth in his account.

Compound interest:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

Continuous compounding:

[tex]A(t) = Pe^{rt}[/tex]

The parameters are:

A(t) is the amount of money after t years.  P is the principal(the initial sum of money).  r is the interest rate(as a decimal value).  n is the number of times that interest is compounded per year.  t is the time in years for which the money is invested or borrowed.

For both of them:

Investment of $970, hence [tex]P = 970[/tex]

Invested for 8 years, hence [tex]t = 8[/tex]

Elizabeth:

Compounded daily, hence [tex]n = 365[/tex].

Rate, as a percent, of [tex]6\frac{5}{8} = 6 + \frac{5}{8} = 6.625[/tex], hence [tex]r = 0.06625[/tex].

Then:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(8) = 970\left(1 + \frac{0.06625}{365}\right)^{365(8)}[/tex]

[tex]A(8) = 1648[/tex]

Matthew:

Rate, as a percent, of [tex]6\frac{3}{4} = 6 + \frac{3}{4} = 6.75[/tex], hence [tex]r = 0.0675[/tex].

Then:

[tex]A(t) = Pe^{rt}[/tex]

[tex]A(8) = 970e^{0.0675(8)}[/tex]

[tex]A(8) = 1665[/tex]

The difference is:

1665 - 1648 = 17

Hence, Matthew would have $17 more than Elizabeth in his account.

A similar problem is given at https://brainly.com/question/24507395

I need the answer if you know write with explination if you don't know don't answer ​

Answers

Answer:

ABD ≅ ACD and PQS ≅ PRS

Step-by-step explanation:

For ABD ≅ ACD;

AB = AC = 3.5

BD = CD = 2.5

AD ≅ AD by reflexive

Since all 3 sides are congruent, SSS can be used

For PQS ≅ PRS

PQ≅PR by given

QS≅RS by given

PS≅PS by reflexive property

Since all 3 sides are congruent, SSS can be used and they are congruent

Evaluate. 12⋅(1/4+1/3)2+2/3 enter your answer as a mixed number

Answers

Answer:

14 2/3

Step-by-step explanation:

i took the test

whats is 8:55 after 25 minutes

Answers

25 minutes after 8:55 is 9:20.

plzz help me no link plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

Zara ate 50 almonds last week

Step-by-step explanation:

part to whole ratio is 50 : 100

150 divided by 2 is 75

100 divided by 50 is equal to 2

Zara ate 50 almonds last week

pls mark brainliest if this helped :)


Plzzz help I’ll give u 30 pts

Answers

Answer: number 4 is +(positive) because the exponent is even.

Number 5 is -(negative) because the exponent is odd.

Step-by-step explanation:

7) Solution:

→ (2)³

→ 2 × 2 × 2 {Expanded form}

→ +8

Ans: Positive

4) Solution:

→ (-6)⁴

→ -6 × -6 × -6 × -6

→ +1296

Ans: Positive

5) Solution:

→ (-3)⁷

→ -3 × -3 × -3 × -3 × -3 × -3 × -3

→ -2187

Ans: Negative

Grace has $105 to buy a cake and pizza for her cousin’s birthday party. She knows she needs to set aside $25 for the cake, and the rest of the money she can spend on pizzas. Each pizza costs $9.25. How many pizzas can Grace afford to buy?

pls simplify
WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST AND GETS IT RIGHT!!!

Answers

Hello there!

Grace has $105 for pizzas and a cake.

She sets aside $25, so we subtract:

105-25=80

So she has $80 for pizzas.

Now, to find out how many pizzas Grace can buy, we take $80 and divide it by the price of one pizza (9.25):

The approximate answer is 8.6

Hope it helps

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The company declared and paid a cash dividend this year. b. Bonds with a principal balance of $400,000 were repaid during this year. c. Equipment was sold during this year for $80,000. The equipment had cost $170,000 and had $64,000 in accumulated depreciation on the date of sale. d. Long-term investments were sold during the year for $150,000. These investments had cost $68,000 when purchased several years ago. e. The subsidiaries did not repay any outstanding loans during the year. f. Lomax did not repurchase any of its own stock during the year. 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