Solve for x in the diagram below.

Solve For X In The Diagram Below.

Answers

Answer 1

Answer:

x = 20

Step-by-step explanation:

The sum of the two angles is 90 degrees

x+3x+10 = 90

Combine like terms

4x+10 = 90

Subtract 10 from each side

4x+10-10 = 90-10

4x= 80

Divide each side by 4

4x/4 = 80/4

x = 20

Answer 2

Answer:

x = 20

Step-by-step explanation:

x and 3x + 10 form a right angle, then

x + 3x + 10 = 90

4x + 10 = 90 ( subtract 10 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20


Related Questions

Janine plans to deposit $20,000 at the end of each year for eight years into an investment account. The mutual funds containing stocks what continue to yield 6% per year. Find the future value.

Answers

Answer:

$197,949.40

Step-by-step explanation:

Just took the quiz.

write the equation for a line that has a slope that is 2 less then the line y=x+2

Answers

Answer:

is this what you meant?

Step-by-step explanation:

Which equations define y as a linear function of x ?
Select all that apply.
A y=2x
B y=5x3+3
C y=12x−9
D y=x2
E y=4x2+2x
F y=2(4x−2)+16
I Need help

Answers

A. Y = 2x






Lblglfldldlbkfkd

evaluate
6 (4) - 4 + 2

A. 12
B. 22
C. 39

Answers

Answer:

B) 22

Step-by-step explanation:

6(4)-4+2

24-4+2

20+2

22

Answer:

B) 22

Step-by-step explanation:

In order: 6*4 is 24. Subtract 4 from that is 20, and then adding 2 to 20 gets you 22.

a university directory has 25 pages filled with students' names. There are a total of 15,050 names in the directory. Each page has an equal number of names. How many names are on each page?
p l e a s e h e l p ; - ;

Answers

Are you in 5th grade

please help i really need this

Answers

Answer:

D

Step-by-step explanation:

You have the correct answer.

what is the radius of 28.26 cm

Answers

18.84

Hope this helps you!

Answer:

18.84

Step-by-step explanation:

Can I plz get help someone plzzz

Answers

Answer:

3705.97 mi³

Step-by-step explanation:

Mindy's dog, Rex, weighed 80 pounds a year ago. Now he weighs 92 pounds. What is the percent increase in his weight?
A.
13%
B.
16%
C.
15%
D.
12%

Answers

The answer is A. 13%
Explanation: 92-80=12
12 is 13% of 92

A distance of 5 units is best described by the distance between the —

Answers

Answer:

c and d

Step-by-step explanation:

If P is the incenter of triangle JKL, find PJ.

Answers

Answer:

PJ = 41.34

Step-by-step explanation:

P is incenter, three angles bisector meet

∠MJP ≅ ∠OJP

PM = PN = PO = 22   (radius: property of incenter)

∠JPM = 90 - ∠MJP = 90 - OJP = ∠JPO

ΔJPM ≅ ΔJPO   (ASA) or (SAS)

LM = JO

2x + 3 = 5x - 45

3x = 48

x = 16

JM = 35

PJ = √35²+22² = √1709 = 41.34

The value of PJ in triangle KJL is 41.32 units.

What is incenter?

The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.

Given that, P is incenter of the triangle KJL,

Considering the triangles ΔMJP and ΔOJP

PM = PO (property of incenter)

∠ JMP ≅ ∠ JOP

JP is common segment.

ΔJPM ≅ ΔJPO  (by SAS rule)

JM = JO  (CPCTC)

2x + 3 = 5x - 45

3x = 48

x = 16

JM = 35

Using the Pythagoras theorem,

PJ² = PM²+JM²

PJ = √35²+22² = √1709 = 41.34

Hence, The value of PJ in triangle KJL is 41.32 units.

For more references on incenter, click;

https://brainly.com/question/29480777

#SPJ5

1. Suspecting that people tend not to buy things that are too cheap (probably because they suspect poor quality), as well as things that are too expensive, Alistair conducted an experiment in pricing. He arranged for 15 shops to sell the same sunglasses at different prices for one month. These are the results:
Which one of the following best fit lines illustrates Alistair’s results?

Answers

Answer:

what were the results it says these are the results but nothing there

Please Help, Due Soon!

Solve for y (write in slope-intercept form).
3x - 2y > 10

Answers

Answer:

x

y

+

4

=

8

6

x

+

2

y

=

8

x

+

6

y

=

5

Step-by-step explanation:

what is the volume of this square based pyramid?

Answers

Hey There! I can help you by explaining how to solve it but not answering sorry! Anyhow, To find the volume of a square based pyramid I suggest you start with the square and do L x W. Than Solve the triangles by using formula 0.5 * b * h. Hint: On the bottom triangle use 8cm from the square with the 3.8cm. Hope you now understand and can find the answer!

what expressions are equivalent to x+x+x+2

Answers

Answer:

3x+2

Step-by-step explanation:

There are 3xs amd a 2 in it, you cant combine both.

Evaluate 1/2(4^3-6*3^2)

Answers

The answer is 5

1/2(4^3-6•3^2)
1/2(64-6•3^2)
1/2(64-6•9)
1/2(64-54)
1/2(10)
=5

Hope this helps! May I please have brainliest? tysm

The points M(-10, 3) and P(-4,-8) are graphed on the coordinate plane. To the nearest
tenth of a unit, what is the distance between points Mand P? Round to the nearest
tenth.

Answers

Given:

The two points are M(-10, 3) and P(-4,-8).

To find:

The distance between the points M and P.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, the distance between the given points is

[tex]MP=\sqrt{(-4-(-10))^2+(-8-3)^2}[/tex]

[tex]MP=\sqrt{(-4+10)^2+(-11)^2}[/tex]

[tex]MP=\sqrt{(6)^2+(-11)^2}[/tex]

[tex]MP=\sqrt{36+121}[/tex]

On further simplification, we get

[tex]MP=\sqrt{157}[/tex]

[tex]MP=12.529964[/tex]

[tex]MP\approx 12.5[/tex]

Therefore, the distance between the given points M and P is 12.5 units.

in this diagram below the angle of depression of the boat is 29° .if the lighthouse is 32 M tall how far is the boat from the base of the lighthouse round your answer to the nearest whole number ​

Answers

Answer:

Step-by-step explanation:

tan29=32/x

x=32/(tan29)

x=58m

So the boat is 58 meters from the base of the lighthouse.

Mar 12, 9:04:40 PM
Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

x=sqrt(5/2)

Step-by-step explanation:

Wayne invested $3000 per year compounded differently. How much will it be worth after 3years

Answers

Answer: wouldn’t it be $9,000? Or $12,000?

Step-by-step explanation:

Which table represents the function?

Answers

D because they all increase by the same number (+1)
The answer is DDDDDD

what is the first step?

Answers

Changing the cos to sin from the following identity cos x ^2 + sin x ^2 =1

Of 42 cities, 5 have a lake and 29 have a river running through them what fraction of these 42 cities have a lake or river running through them

Answers

Answer: 17/21

Step-by-step explanation:

Number of cities = 42

Fraction of cities that has lake = 5/42

Fraction of cities that have rivers = 29/42

The fraction of these 42 cities that have a lake or river running through them will then be:

= 5/42 + 29/42

= 34/42

= 17/21

52 + 15 = 5 - 6 + 2 =?
01.25
45
49
50

Answers

Answer:

52+15

?

= 1

5−6+2

67≠1

False

Step-by-step explanation:

Which of the following ordered pair could NOT be included in this set if it is a function?
{(-4, 2), (3, 6), (4,3), (x, y) }
A (x, y) = (-3, 6)
B (x, y) = (1, 2)
C (x, y) = (3,6)
D (x, y) = (4, -3)

Answers

Answer:

B is the right answer and if you add

PLZ HELP !!!!! WILL GIVE BRAINLIST IF CORRECT!!!

Katherine was out at a restaurant for dinner when the bill came. Her dinner came to $34. She wanted to leave a 13% tip. How much was her meal plus the tip, before tax, in dollars and cents?

Answers

Answer:

$38.42

Step-by-step explanation:

The equation 18 + p = 34 represents the sum of Reese's and Ana's ages, where p represents Reece's age. How old is Reece?

QUICKKKK WRITE IN A COMPLETE SENTENCE

Answers

Answer:

therefore reece'sis 16 years old

Step-by-step explanation:

18+p=34

p+18-18=34-18

p=16

Find WX please help is very much appreciated

Answers

Answer:

WX = 6

Step-by-step explanation:

1. Approach

First, one must find the value of the variable (x). This can be done by using the Tangent-Line-intersection-theorem (many people refer to it by another name, but the theory is the same). This theory essentially states that when two lines are tangent to a circle and are non-parallel, the distance between the point of tangency, and the point of intersection of those two lines are the same for each line. After finding the value of (x), one can substitute it back into the given equation for the value of (WX), and solve it.

2. Finding (x)

The two segments; (WX) and (XY) are tangent to the given circle. Meaning that they only make contact with the circle at a single point. The space between their point of tangency and the point at which they intersect will be equal. Essentially meaning that the length of (WX) and the length of (XY) are the same. Therefore the equation

(XY) = (XW)

Can be formed. Substitute in the given values;

7x - 29 = 2x + 16

Inverse operations,

7x - 29 = 2x + 16

-2x          -2x

5x - 29 = 16

     +29    +29

5x = 45

/5      /5

x = 9

3. Solve for (WX)

Now substitute back in to find the length of (WX)

7x = 29

x = 5

7(5) - 29

35 - 29

6

A bag of marbles contains only purple and yellow marbles. The bag has three times as many yellow marbles as purple. The bag contains 164 total marbles. Write an equation or system of equations to determine how many of each color of marble is in the bag. Define your variable(s) and expressions. Show how you checked your answer. PLZ HELP PLZ PLZ

Answers

Answer:

123 purple

Step-by-step explanation:

164/4 = 41

41 = yellow

3 times more purple

41 x 3 = 123

If $5,000 is invested at 3.2% annual interest compounded semiannually, how much will the investment be worth in 10 years? Drag and drop each value into the correct location in the Compound Interest equation. Note: Not all quantities will be used.

Answers

Given:

Principal = $5,000

Rate of interest = 3.2% annual interest compounded semiannually.

Time = 10 years.

To find:

The amount after compound interest.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{100n}\right)^{nt}[/tex]

Where, P is principal, r is rate of interest, n is number of times interest compounded and t is the number of years.

Putting P=5000, r=3.2, t=10, n=2, we get

[tex]A=5000\left(1+\dfrac{3.2}{100(2)}\right)^{2(10)}[/tex]

[tex]A=5000\left(1+0.016\right)^{20}[/tex]

[tex]A=5000\left(1.016\right)^{20}[/tex]

[tex]A=5000(1.37364389)[/tex]

On further simplification, we get

[tex]A=6868.21945[/tex]

[tex]A\approx 6868.22[/tex]

Therefore, the amount after compound interest is $6868.22.

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