Solve for x and then find the measure of

Solve For X And Then Find The Measure Of

Answers

Answer 1
the answer should be 150
Answer 2

Answer:

150°

Step-by-step explanation:

<A and <B are alternate interior angles.

So, <A = <B

plugging the values

[tex]8x - 10 = 3x + 90[/tex]

Move variable to L.H.S and change it's sign.

Similarly, Move constant to R.H.S and change it's sign

[tex]8x - 3x = 90 + 10[/tex]

Collect like terms

[tex]5x = 90 + 10[/tex]

Calculate the sum

[tex]5x = 100[/tex]

Divide both sides of the equation by 5

[tex] \frac{5x}{5} = \frac{100}{5} [/tex]

Calculate

[tex]x = 20[/tex]

Now, Let's find the measure of <B

[tex] < b = 3x + 90[/tex]

Plugging the value of X

[tex] = 3 \times 20 + 90[/tex]

Calculate the product

[tex] = 60 + 90[/tex]

Calculate the sum

[tex] =150[/tex]

Hope this helps...

Best regards!!


Related Questions

What is the next term of the arithmetic sequence 24, 16, 8, 0,

Answers

Answer:

-8

Step-by-step explanation:

The term-to-term rule is -8.

16 - 24= -8

8 - 16 = -8

0 - 8 = -8

The arithmetic sequence is a concept of algebra and in given sequence 24, 16, 8, 0 the next term is, -8

What is an arithmetic sequence?

In the arithmetic sequence  the common difference remains constant between any two consecutive terms. In this sequence we can get the next term by adding one fixed value which is known as a common difference. It is also known as arithmetic progression(AP).

Formula for any [tex]n^{th}[/tex] term in AP,

T = a + (n-1)d

d = T₂-T₁

Where, a is first term , n is [tex]n^{th}[/tex]  term and d is common difference

Given sequence,

24, 16, 8, 0

a = 24

n = 5

d = 16-24 = -8

T₅ = 24 +( (5-1)×(-8))

T₅ = -8

Hence,  [tex]5^{th}[/tex] term of sequence is -8

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Juan and his friends played a game in which sticky darts were thrown onto a playing board. To start the game, Juan threw a dart randomly onto the board. Describe the likelihood of getting each score. 8 points: 16 points: more than 0 points:

Answers

Answer:

8 points:  unlikely

16 points:   impossible

more than 0 points:   likely

Step-by-step explanation:

Answer:

8 points:  

✔ unlikely

16 points:  

✔ impossible

more than 0 points:  

✔ likely

i did the test hope this helped

If (a+1) and (a-1)= 35 what is a?? Helpppppppppp

Answers

Answer:

There is no real number that can satisfy this equation

Step-by-step explanation:

a+1=35 and a-1=35 ⇒ a+1=a-1⇒ a-a = -1-1⇒ 0= -2  That's absurd so a has no real solution

Duran Manufacturing uses a process costing system and manufactures its product in three departments. Which of the following is NOT a way in which Duran can use the cost per unit of each process? A) Duran can look for ways to cut the costs when actual process costs are more than planned process costs. B) Duran needs to set the selling price to cover the costs of making the product and provide a profit. C) Duran can only use the cost per unit of each process if all units are fully completed at the end of the accounting period. D) Duran needs to know the ending balances in the following accounts: Work-In-Process Inventory, Finished Goods Inventory, and Cost of Goods Sold.

Answers

Answer:

C) Duran can only use the cost per unit of each process if all units are fully completed at the end of the accounting period.

Step-by-step explanation:

Duran uses cost accounting technique to identify cost per unit for its products. The costing techniques allows us to identify the cost of unit that are not completely finished. It is not necessary that all unit must be completed in order to find out the cost per unit of the product. The process costing is the best method to identify cost per unit for products that are in process.

Help please!!
What quadrant does the terminal side of this angle lie in?

Answers

Answer:

QIII

Step-by-step explanation:

Please help me.What type of polygon would a peice of an icosahedron at a vertex create? Explain why.

Answers

Answer:

Regular Pentagon

Step-by-step explanation:

A regular icosahedron is a twenty-faced polyhedron, each face being an equiangular triangle.  Each vertex is joined together by 5 faces, therefore the polygon formed at each vertex is a regular pentagon.

We can also figure out the number of faces at each vertex using Euler's formula

F+V=E+2

F=number of faces = 20

E=number of edges = number of triangular faces * edges/triangle /2

(since each edge is shared between two faces)

= 20*3/2

=30

Number of vertices

= E+2-F = 30+2-20 = 12

So number of edges meeting at each vertex

= 30 / (12/2) = 30/6 = 5

(12/2 because each edge joins two vertices).

See attached figure, courtesy of Wikipedia.

Using the diagram below, find how high the plane is flying.
58°
50 yd
30.15 yd
30.25 yd
31.25 yd
32.45 yd

Answers

Answer:

31.24 yd

Step-by-step explanation:

Evaluate
[tex]lim \: f(x) \: as \: x \: approaches \: 0[/tex]
knowing that
[tex] \frac{1}{2} - {x}^{2} \leqslant 1 - f(x) \leqslant \frac{1}{2} [/tex]
for all instances of x

Answers

Answer:

  f(0) = 1/2

Step-by-step explanation:

At x=0, the inequality tells you ...

  1/2 ≤ 1 -f(0) ≤ 1/2

That is, ...

  1 - f(0) = 1/2

  f(0) = 1/2

  [tex]\boxed{\lim\limits_{x\to 0}{f(x)}=\dfrac{1}{2}}[/tex]


Find the midpoint of the line segment joining the points (-5, 2) and (3. -8).

Answers

Hey there! :)

Answer:

(-1, -3)

Step-by-step explanation:

Use the midpoint formula to derive the coordinates of the midpoint:

[tex](x_{m} ,y_{m} ) = (\frac{x_{1} +x_{2} }{2}, \frac{y_{1}+ y_{2} }{2} )[/tex]

Plug in the coordinates given:

[tex](\frac{-5+3 }{2}, \frac{2-8 }{2} )[/tex]

Simplify:

[tex](\frac{-2 }{2}, \frac{-6 }{2} )[/tex]

(-1, -3) are the coordinates of the midpoint.

Answer:

[tex]\boxed{Midpoint = (-1,-3)}[/tex]

Step-by-step explanation:

The coordinates are (-5,2) and (3,-8)

M(x,y) = [tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]

M(x,y) = [tex](\frac{-5+3}{2} , \frac{2-8}{2} )[/tex]

M(x,y) = [tex](\frac{-2}{2} , \frac{-6}{2} )[/tex]

M(x,y) = (-1,-3)

Which expression has a negative value? 2 + 12 (negative 3) (negative 8) 10 minus (negative 18) Negative 35 divided by 5 Mark

Answers

Answer: 35 ÷5 is the negative value

Answer: D

Step-by-step explanation:

f(X)=3x-12 what is f(2)

Answers

Answer:

The answer is - 6

Step-by-step explanation:

f(X)=3x-12

To find f(2) substitute the value in the bracket which is 2 into f(x)

That's

f(2) = 3(2) - 12

= 6 - 12

= - 6

Hope this helps you

Answer:

-6

Step-by-step explanation:

How to solve the exponential equation for 3^k2 • 3^-k+2 = 81

Answers

Answer:

k=2

Step-by-step explanation:

3^k*2 * 3^-k+2 = 81

Factor out 81 to be : 3^4

Rewrite the equation:

k*2 - k+2 = 4

k^2 - 2k = 4

Simplify : k+2 = 4

               - 2   - 2

             k = 2

Which graph is that of the inequality shown below?

Answers

All answer choices show the boundary line going through (0,-2) and (2,2). This  is because y = 2x-2 goes through these two points. We make the boundary line a dashed line to indicate that solution points are not found on the boundary (because there is no "or equal to" portion in the inequality sign).

The shading is below the boundary line because of the "less than" sign. Any solution point (x,y) will have its y coordinate smaller than the y coordinate of points on the boundary line. So if (a,b) is on the boundary, then (a,c) is a solution where c < b.

In summary, the graph has a dashed boundary line and the shading is below the boundary

Answer: Graph B

Please answer this correctly

Answers

Answer:

Option 1

Step-by-step explanation:

The temperature was -11 degrees Fahrenheit in Chicago. In Cheyenne, it was 11 degrees Fahrenheit warmer than Chicago's temperature.

-11 + 11 = 0

9000 to nearest thousand

Answers

Answer:

9,000 is the answer

Step-by-step explanation:

Answer:

9000

Step-by-step explanation:

Reyna's health insurance plan requires that she have physician who manages all of her health care. Reyna, most likely, has what type of insurance plan?

Answers

HMO is what I think the answer is

Answer:

HMO

Step-by-step explanation:

Health Maintenance Organization is your answer :D

In the DBE 122 class, there are 350 possible points. These points come from 5 homework sets that are worth 10 points each and 3 tests that are worth 100 points each. A student has received homework scores of 7, 8, 7, 5, and 8 and the first two test scores are 81 and 80. Assuming that grades are assigned according to the standard scale, where if the grade percentage is 0.9 or higher the student will get an A, and if the grade percentage is between 0.8 and 0.9 the student will get a B, and there are no weights assigned to any of the grades, is it possible for the student to receive an A in the class? What is the minimum score on the third test that will give an A? What about a B?

Answers

Answer:

hey mate how r u I am good I am new to this app

10. The population of India is 1.353 billion, and expected to grow at the rate of one percent
annually for the forseeable future. Assuming population continues to grow at the same percent
rate, how long until the population reaches 2 billion people? Give your answer to the nearest
year. (4 minutes)

Answers

Answer:

39 years

Step-by-step explanation:

Adapt the formula A = P(1 + r)^n, letting P represent the original population, r the growth rate as a decimal fraction, and n the number of years.

Solve this for n:

2 billion = (1.353 billion)(1 + 0.01)^n

After simplification, we have:

   2

--------- = 1.01^n

1.353

Taking the log of both sides, we get:

log 2 - log 1.353 = n log 1.01, or

log 2 - log 1.353      0.1697

------------------------ = -------------- = 39 years (rounded off from 39.28)

      log 1.01              0.0043

1. A circus elephant is being led up a 12-foot-long ramp to a trailer that is 4 feet above
the ground.
4ft
12 ft
Which equation could be used to find the angle between the ramp and the ground?

Answers

I do not know the answer I think it is 43because it had four side and I think you have to divide 12 by 4 equal 3

show that 7 1/2 - 4 2/3 = 2 5/6

Answers

You have to make the denominator common before subtracting 2 fractions.

Since the end fraction has a denominator of 6 try and multiply both of the ones on the LHS to get 6 as a denominator.

First though convert the improper fractions into fractions solely.

7 1/2 goes to 15/2

While

4 2/3 goes to 14/3

Now

15/2 multiply both numerator and denominator by 3 gives you 45/6

14/3 multiply both numerator and denominator by 2 gives you 28/6

Subtract 45/6 by 28/6= 17/6

Highest multiple of 6 in 17 is 12
12/6 + 5/6 = 2 5/6

Equation is [tex]7\frac{1}{2} -4\frac{2}{3}=2\frac{5}{6}[/tex] is true.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is [tex]7\frac{1}{2} -4\frac{2}{3}=2\frac{5}{6}[/tex]

We need to check whether the left hand side is equal to right hand side.

These are in the form pf mixed fraction we can convert them to the improper fraction.

[tex]7\frac{1}{2}=15/2[/tex]

[tex]4\frac{2}{3}=\frac{14}{3}[/tex]

So Let us subtract 24/3 from 15/2

15/2-14/3

LCM of 2 and 3 is 6

45-28/6

17/6

This can be written as mixed fraction [tex]2\frac{5}{6}[/tex]

Hence, equation is [tex]7\frac{1}{2} -4\frac{2}{3}=2\frac{5}{6}[/tex] is true.

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Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation?

Answers

By completing the square. Using the formula (b/2)^2. The answer is 2(x+3)^2-21

5. Look at the diagram below. Indicate whether the angles below are
adjacent or vertical.


a <1 and <2
b. <3 and <4
C. <2 and <4
d. <1 and <3

Answers

Answer:

  a. adjacent

  b. adjacent

  c. vertical

  d. vertical

Step-by-step explanation:

Adjacent angles share a side; vertical angles do not. Vertical angles share a vertex and have sides that are opposite rays.

In the diagram, adjacent angles are sequentially numbered, so numbers that differ by 1 (or 3) are adjacent angles.

Vertical angles are not adjacent, so will have angle numbers that differ by 2.

  adjacent: (a) and (b) . . . angles 1&2, 3&4

  vertical: (c) and (d) . . . angles 2&4, 1&3

10 + 6 ÷ 2 =

2(5) - 7 =

36 - (4 +8) ÷ 4 =

(2 x 5) -4 =​

Answers

1. 13
2. 3
3. 33
4. 6
2.45
3.67
5.456

explanation: they would both look side to side

Find the simplified quotient.
y^2+y/ y^2-2y/ 4y+4/ y^2-4y+4
Can someone show me the work for this answer please

Answers

Answer:

yes the first one is the correct answer

We can see here that the simplified quotient is Option A: y(y+1)/y(y−2) × [(y−2) (y−2)]/4(y+1)

What is quotient?

In mathematics, the term "quotient" refers to the result of dividing one quantity (the dividend) by another quantity (the divisor). It represents the whole number or fraction obtained as a result of the division operation.

To find the simplified quotient, we need to follow the steps for dividing fractions:

Step 1: Invert the divisor (the fraction that follows the division sign) and convert the division operation to multiplication.

Step 2: Simplify the resulting fraction by canceling out any common factors in the numerator and denominator.

The given expression is:

(y² + y) / (y² − 2y) ÷ (4y+4) / (y² −4y + 4)

Step 1: Invert the divisor and convert division to multiplication:

(y² + y) / (y² − 2y) × (y² −4y + 4) /  (4y+4)

Step 2: Simplify the resulting fraction:

Now, let's factor the expressions in the numerators and denominators:

y(y + 1) / y(y - 2) × (y−2)² / 4(y + 1)

= y(y+1)/y(y−2) × [(y−2) (y−2)]/4(y+1)

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What is the value of x? x/9=9/24

Answers

Answer:

x = 27/8

Step-by-step explanation:

x/9=9/24

Cross multiply.

9*9 = 24*x

81 = 24x

x = 81/24

x = 27/8

Answer:

X=3.375 or 27/3

solution,

[tex] \frac{x}{9} = \frac{9}{24} \\ or \: x \times 24 = 9 \times 9 \\ or \: 24x = 81 \\ or \: x = \frac{81}{24} \\ x = \frac{27}{8} \: or \: 3.375[/tex]

Hope this helps..

Good luck on your assignment

The mean monthly car payment for 123 residents of the local apartment complex is $624. What is the best point estimate for the mean monthly car payment for all residents of the local apartment complex?

Answers

Answer:

The best point estimate for the mean monthly car payment for all residents of the local apartment complex is $624.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this question:

We apply the inverse Central Limit Theorem.

The mean monthy car payment for 123 residents of the local apartment complex is $624.

So, for all residents of the local apartment complex, the best point estimate for the mean monthly car payment is $624.

Will give brainliest answer

Answers

Answer:

A = 25 pi units^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi * 5^2

A = 25 pi units^2

Answer:

A = 78.5

Step-by-step explanation:

Area of a Circle: A = πr²

We are given r, so plug it in:

A = π(5)²

A = 25π

A = 78.5

In a Classroom, 1/6 of the students are wearing blue shirts, and 2/3 are wearing white shirts. There are 12 students in the classroom. How many students are wearing shirt other than blue shirts or white shirts?

Answers

Answer:

2

Step-by-step explanation:

firstly...you have to find the number of students wearing blue and white shirt and subtract from the total number of students to get the number if students that neither wears blue or white shirt as follows :

no wearing blue = 1/6 × 12 = 2

no.wearing white = 2/3 × 12 = 8

total number wearing blue and white = 8+2 =10

number of students not putting on either of the two colours include...= 12-10 = 2

.....

.....

.....

MARK BRAINLIEST will be appreciated please...thanks in advance

The owner of a car wash wants to see if the arrival rate of cars follows a Poisson distribution. In order to test the assumption of a Poisson distribution, a random sample of 150 ten-minute intervals was taken. You are given the following observed frequencies: Number of Cars Arriving in a 10-Minute Interval Frequency 0 3 1 10 2 15 3 23 4 30 5 24 6 20 7 13 8 8 9 or more 4 150 Calculate mean and use Poisson probabilities. The expected frequency of exactly 3 cars arriving in a 10-minute interval is a. .1533. b. 26.145. c. .1743. d. 23.

Answers

Answer: c. 0.1743

Step-by-step explanation: Poisson Probability or Poisson Distribution is a discrete distribution that models the number of events ocurring in a given period of time.

The mean, or expected value, of the observed frequencies is:

E(X) = ∑xP(x)

E(X) = 0*3/150 + 1*(10/150) + 2*(15/150) + 3*(23/150) + 4*(30/150) + 5*(24/150) + 6*(20/150) + 7*(13/150) + 8*(8/150) + 9*(4/150)

E(X) = 4.399

The Poisson distribution is calculated by:

P(X = k) = [tex]\frac{mean^{k}.e^{-mean}}{k!}[/tex]

The question asks for the expected frequency of exactly 3 cars:

P(X = 3) = [tex]\frac{4.399^{3}.e^{-4.399}}{3!}[/tex]

P(X = 3) = [tex]\frac{4.399^{3}.e^{-4.399}}{3.2.1}[/tex]

P(X = 3) = 0.1743

The expected frequency of exactly 3 cars is 0.1743

Which of the following best describes T in the general formula for an exponential function, which is shown below?
O A. Time
O B. Initial amount
O c. Growth rate
O D. Growth factor​

Answers

Answer:

A. Time

Step-by-step explanation:

The general formula for an exponential function is shown below:

[tex]F(t) = Ao.b^{kt}[/tex]

where,

Ao = Initial amount

b = growth factor i.e come (1 + r)

r = growth rate

k = Constant

T = Time

Therefore the T describes the time

Hence, the first option is correct

To determine any of the above variable we simply used the above formula so the chances of thh correct answer could be high

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