Please help, geometry

Please Help, Geometry

Answers

Answer 1

Step-by-step explanation:

As it is a quadrilateral so sum of all angles of quadrilateral is equal to 360°

14x - 11° + 8x + 7° + 5x + 18° + 10x + 13° = 360°

37x+ 27° = 360°

37x = 360° - 27°

37x = 333°

x = 333° / 37

Therefore x = 9°

Now

<B = 8 * 9° + 7° = 79°

Hope it will help you.

Answer 2

Answer: The answer is 79.0°

Step-by-step explanation:

A quadrilateral will always have 360° and four sides. Keep that in mind, that's a universal rule of geometry.

Here, the sum of all sides is equal to 360°. Therefore, we make an equation:

[tex](14x-11) + (8x+7) + (5x+18) + (10x + 13) = 360[/tex]

Simplify by adding and subtracting like terms.

[tex]37x +27=360[/tex]

Isolate x by first passing the 27 to the other side.

[tex]37x = 333[/tex]

Divide by 37 to isolate x.

[tex]x = 9[/tex]

To find m∠B, we plug in x to [tex](8x+7)[/tex]

which gives you: [tex](8*9+7) = 79[/tex]

The answer is 79.0°

Curious if it is correct? Let's double check.

Plug in the x=9 to all the x values and add them up. You should get 360, which makes the answer correct.


Related Questions

What is the formula for pie

Answers

Answer:

[tex]\pi \: = \frac{22}{7} \: \: \: \: or \: \: \: \: \: \: 3.14 \\ \\ [/tex]

what is the value of x angel in a pentagon if each interior angel is 117 , 100 , 105 and 115

Answers

Answer:

Step-by-step explanation:

Well first you have to find what the total amount of all the interior angles. In Oder to do that you count how many sides the shape has the subtract two from that number. Take the number you get from that and multiply it by 180. That number is total amount of all the interior angles including the angle x. Take the angles you do know and add them together. Take the number you get from that and subtract it from the total amount of all interior angles. The number you get from that is your answer. The answer to this problem is 103.

Final answer:

The value of angle x in a pentagon is 103 degrees.

Explanation:

In a pentagon, the sum of the interior angles is always 540 degrees. To find the value of angle x, we can subtract the given angles from 540 degrees and then divide by the number of missing angles.

Given angles: 117, 100, 105, 115

Sum of given angles: 117 + 100 + 105 + 115 = 437 degrees

Sum of missing angles: 540 - 437 = 103 degrees

Since there is only one missing angle x in the pentagon, the value of x must be 103 degrees.

Find the 3rd term in the sequence

Answers

Step-by-step explanation:

a(n) = a ( n - 1) - 17

a(1) = 20

a(2) = a ( 2 - 1) - 17

= a (1) - 17

= 20 - 17

= 3

Now

a(3) = a ( 3 - 1 ) - 17

= a (2) - 17

= 3 - 17

= - 14

Hope it will help you.

What are the differences between pyramids and cones?

Answers

Answer:

Pyramids are triangular in shape with a sided shape, whereas cones have circular bases that merely adjoin at a point.

Step-by-step explanation:

Answer:

A pyramid is a cone with a polygonal base ;)

A parking lot in the shape of a trapezoid has an area of 12,0521 square meters the length of the other base is 108.6 meters. What is the width of the parking lot

Answers

Please consider the complete question.

A parking lot in the shape of a trapezoid has an area of 12,052.1 square meters. The length of one base is 82.4 meters and the length of the base is 108.6 meters. What is the width of the parking lot

We will use area of trapezoid to formula to solve our given problem.

[tex]\text{Area of trapezoid}=\frac{1}{2}(a+b)\times h[/tex], where

a and b represents parallel sides of trapezoid,

h = height of trapezoid.

Width of the trapezoid will be equal to height.

Upon substituting our given values in above formula, we will get:

[tex]12,052.1=\frac{1}{2}(82.4+108.6)\times h[/tex]

[tex]12,052.1\cdot 2=2\cdot \frac{1}{2}(82.4+108.6)\times h[/tex]

[tex]24104.2=(191)\times h[/tex]

[tex]\frac{24104.2}{191}=\frac{(191)\times h}{191}[/tex]

[tex]126.2=h[/tex]

Therefore, the width of the parking lot is 126.2 meters.

The local animal shelter has 120 dogs and cats. The ratio of dogs to cats is 3 to 7. How many dogs are in the shelter?

Answers

there is 36 dogs and 84 cats

Answer:

There are 36 dogs in the shelter.

Step-by-step explanation:

(Draw a model)

(3 boxes for dogs and 7 boxes for cats)

10 units = 120

1 unit = 120÷10

= 12

3 units = 12×3

= 36

(I hope you understand the question. A gentle reminder, always draw the model according to the ratio. From there you will understand.)

3. Determine whether each event is certain to occur, just as likely to occur as not to occur, or
impossible to occur. Then write the probability
a. A coin is flipped and the coin lands heads up. Express the probability as a fraction
b. Tuesday follows Monday in the week. Express the probability as a percent.
c. You have only white shirts in your closet. Express the probability of reaching into your
closet and choosing a red shirt as a fraction,
d. A box contains 2 green balls and 2 yellow balls. You reach into the box and grab a
yellow ball. Express the probability as a decimal

Answers

Answer:

A) 1/2 - there are 2 sides - just as likely to occur as not to occur

B) 0% - it's never going to happen (impossible)

C) 0/0 - it's never going to happen (impossible)

D) 1/2 simplified from 2/4 - that was 2 out of the four balls. - just as likely to occur as not to occur

Simplify:

0.007 km : 0.021 km : 14 m

Answers

Answer:

The answer is 1 : 3 : 2

Step-by-step explanation:

First, you have to make them into same unit by converting it into km or m :

1 km = 1000 m

0.007 km = 7 m

0.021 km = 21 m

7 : 21 : 14

OR

14 m = 0.014 km

Then you can simplify it by 7 :

m,

7 : 21 : 14

= 1 : 3 : 2

OR

km,

0.007 : 0.021 : 0.014

= 0.001 : 0.003 : 0.002

= 1 : 3 : 2

(take note: in ratio, it is better to put it in whole number form rather than decimal form)

If an exercise routine requires 24 crunches for every 16 squats, how many squats would need to be done for every 78 crunches? Group of answer choices

Answers

Answer:

The correct answer is 52 squats.

Step-by-step explanation:

An exercise routine requires 24 crunches for every 16 squats.

Therefore the routine would require 1 crunch for every [tex]\frac{16}{24}[/tex] squats.

And by the use of unitary method, the routine would require 78 crunches for every [tex]\frac{16}{24}[/tex] × 78 squats = 52 squats.

Thus for every 78 crunches attempted, the exercise routine would requires 52 squats to be done.

What is 3x5 , answer is

Answers

Answer:15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

5=1

10=2

15=3

PLZ HELP ME!
Directions up above the picture
**MATH (Algebra)

Answers

Answer:

The answer to your question is t = 1.3 s

Step-by-step explanation:

Data

Equation    h(t) = -4.9t² + v₀t + h₀

v₀ = 0 m/s

h₀ = 8 m

t = ?

h = 0 m

Process

1.- Substitute the values in the formula

                  0 = -4.9t² + 0t + 8

2.- Simplification

                  0 = -4.9t² + 8

3.- Solve for t

                 4.9t² = 8

                      t² = 8/4.9

                      t² = 1.63

4.- Result

                      t = 1.27 ≈ 1.3 s

In Greg's that, he has $1$ yellow, $2$ red, and $3$ green tokens. One red token is equivalent to $7$ yellow tokens. One yellow token is equivalent to $3$ green tokens. Greg converts all of his tokens to green tokens. How many green tokens does he have?

Answers

Answer:

$48 green tokens

Step-by-step explanation:

please check the attached file for explanation

Answer:

48

Step-by-step explanation:

Scientist are studying a bacteria sample. The function f(x)=245(1.12)^x gives the number of bacteria in the sample at the end of x days. Which statement is the best interpretation of one of the values of the function?

Answers

Answer:

The best interpretation of one of the values of the function is that the rate  increases by 12% each day.

Step-by-step explanation:

Given:

F(x)=245(1.12)^x

To Find:

statement is the best interpretation of one of the values of the function

Solution:

Depending upon the values given the statement can be developed

As the function is itself the exponential growth structure ,

In this the statement ,Growth can be significantly depends on all factor

Such as time period initial value and rate.

But here the formula is simplified as ,

[tex]P=A(1+r)^t[/tex]

Here A= initial value r=rate and t =time period

Here A=245 and 1+r=1.12

i.e r=0.12 i.e 12%

Hence the rate give the best interpretation and more information about the function and scenario.

Final answer:

The function f(x)=245(1.12)^x models the exponential growth of bacteria in a sample over x days, with the base 245 being the initial number and 1.12 representing the daily growth rate.

Explanation:

The function f(x)=245(1.12)^x describes the exponential growth of bacteria, where the base number (245) represents the initial amount of bacteria and 1.12 indicates the growth rate per day.

For example, if we want to determine the number of bacteria at the end of the first day (x=1), we substitute 1 into the function to get f(1)=245(1.12)^1, which would give us the total number of bacteria at the end of day one.

The exponent x stands for the number of days and shows how the population grows at an increasing rate over time, which is a signature characteristic of an exponential function in a context like bacterial growth.

A house has increased in value by 38% since it was purchased. If the current value is $621,000 what was the value when it was purchased.

Answers

The original value of the house when it was purchased was $450,000.

Let us assume the original value of the house was x. This means that the house has increased by 38% from x to become $621,000.

In order to find the original value therefore, you can use the formula:

Original value + (Original value x Increase) = Current price

x + (38% × x) = 621,000

1.38x = 621,000

x = 621,000 / 1.38

= $450,000

In conclusion, the original value was $450,000.

Find out more at https://brainly.com/question/12980037.

Final answer:

The original purchase price of the house was $450,000.

Explanation:

To find the original value of the house before it increased in value, we must first understand that the current value represents 138% of the original value, since the house has increased in value by 38%. This is because the original value is 100%, and the increase is 38%, making the total 138%. Therefore, the equation to find the original purchase price (which we can call 'P') is:

P * 138% = $621,000

We can rewrite this as:

P * 1.38 = $621,000

To solve for P, we divide both sides of the equation by 1.38:

P = $621,000 / 1.38

Now, doing the division:

P = $450,000

So, the house was originally purchased for $450,000 before it increased by 38% to its current value of $621,000.

Identify the sampling method as simple random​ sampling, systematic​ sampling, convenience​ sampling, or stratified sampling. A computer randomly selects 500 names from a list of all registered voters. Those selected are surveyed to predict who will win the election for Mayor.

Choose the correct sampling technique below.

A. Systematic sampling
B. Convenience sampling
C. Simple random sampling
D. Stratified sampling

Answers

Answer: C.

Simple random sampling

Step-by-step explanation:

A simple random sample in statistics, is a subset of individuals chosen from a larger set. Each individual is chosen randomly and entirely by chance, such that each individual has the same probability for the entire larger set.

Answer:

C

Step-by-step explanation:

The computer randomly selects 500 names without any bias, Thus, it is simple random sampling because each name has equal chance of getting selected.

4x + 3y = 6
-4x + 2y = 14

solve the system of equations

Answers

Answer:

I believe it is

x = -3/2 (-1.5)

y = 4

Answer:

A) 4x + 3y = 6

B) -4x + 2y = 14

Add the equations

5 y = 20

y = 4

Putting y into A)

A) 4x + 3*4 = 6

A) 4x = -6

x = -1.5

Step-by-step explanation:

Which statement is correct regarding the measurements of the parallelogram?
The base is 6 and the height is 3. so the area is 6(3) - 18 square units.
The base is 8 and the height is 3, so the area is a(3) - 24 square units.
The base is 8 and the height is 4, so the area is 3(4) - 32 square units.
The base is 8 and the height is 6, so the area is a = 48 square units.​

Answers

Answer:

The first one is correct

Step-by-step explanation:

You can multiply the base and perpendicular height to find the area.

Desmond deposits $50 into a savings account every month at an annual interest rate of
4.7%, compounded monthly.
a. How much will his account contain after 10 years assuming he makes not withdrawals?
b. What is the rate of change in the value of Desmond’s account after 10 years?

Answers

Given:

Desmond deposits $ 50 monthly.

Yearly he deposits = $50×12 = $ 600

Rate of interest compounded monthly = 4.7%

To find the amount he will receive after 10 years and the rate of change the value of his account after 10 years.

Formula

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

where,

A be the final amount

P be the principal

r be the rate of interest

t be the time and

n be the number of times the interest is compounded.

Now,

Taking,

P = 600, r = 4.7, n = 12, t = 10 we get,

[tex]A = 600(1+\frac{4.7}{(12)(100)}) ^{(12)(10)}[/tex]

or, [tex]A = 600(1.0039)^{120}[/tex]

or, [tex]A = 959.1[/tex]

Now,

At starting he has $ 600

At the end of 10 years he will be having $ 959.1

So,

The amount of change in his account = $ (959.1-600) = $ 359.1

Therefore the rate of change = [tex](\frac{359.1}{600} )(100) %[/tex]

= 59.85%

Hence,

a) His account will contain $ 959.1 after 10 years.

b) The rate of change in his account is 59.85% after 10 years.

what are 3 equivalent ratios to 1/9?

Answers

Answer:

1/9= 2/18=3/27=4/36

Step-by-step explanation:

Final answer:

To find equivalent ratios to 1/9, both the numerator and the denominator are multiplied by the same number. Thus, 2/18, 3/27, and 4/36 are all equivalent ratios to 1/9.

Explanation:

Ratios are equivalent if they represent the same relationship between numbers. To find equivalent ratios for 1/9, you need to multiply both the numerator and the denominator by the same number. Here are three examples:

By multiplying 1 and 9 by 2, we get 2/18.By multiplying 1 and 9 by 3, we get 3/27.By multiplying 1 and 9 by 4, we get 4/36.

So, 2/18, 3/27, and 4/36 are ratios equivalent to 1/9.

Learn more about Equivalent Ratios

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Tariq designed the pool shown . The owner of the pool has one square to use . Find the area of the space that needs to be covered. (The four corners are squares.)

Answers

Answer:

Heres the anwser my man 128

Step-by-step explanation:

hope you got it right.

The score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3. Suppose a golfer played the course today. Find the probability that her score is at least 74.

Answers

Answer:

0.3694

Step-by-step explanation:

In this question, we are asked to calculate the probability that a golfer scored at least 74 if she played on a particular day.

Given that ,

mean = µ = 73

standard deviation = σ = 3

P(x > 74) = 1 - P(x<74 )

= 1 - P[(x -µ) / σ < (74 -73) /3 ]

= 1 - P(z <0.3333 )

Using z table

= 1 - 0.6305

= 0.3694

probability= 0.3694

Final answer:

To find the probability of a golfer scoring at least 74 on a course with a mean score of 73 and a standard deviation of 3, we calculate the z-score for 74, find the corresponding probability in the z-table, and subtract this from 1 to get the upper tail probability. The probability is approximately 37%.

Explanation:

The score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3. We want to find the probability that a golfer scores at least 74. This is a question of statistics and specifically involves the concept of the normal distribution and calculating z-scores.

Firstly, we need to calculate the z-score for the score of 74. The z-score is calculated as (X-μ)/σ, where X is the score we are interested, μ is the mean, and σ is the standard deviation. Substituting the given values, (74 - 73) / 3 gives a z-score of approximately 0.33.

Then, to find the probability that a score is at least 74, we need to find the proportion of data to the right of this z-score in a standard normal distribution. This is known as the 'upper tail'. We subtract the z-score from 1 because the total probability under the normal curve is 1. If we look up 0.33 in the z-table, we get a value of 0.6293. Subtracting this value from 1 gives us 0.3707.

Therefore, the probability that a golfer scores at least 74 on this course is approximately 0.37 or 37%.

Learn more about Normal Distribution here:

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She paid £40 altogether. She paid £3.25 for each pineapple, £2.75 for each melon 50p for each grapefruit. She bought the same number of pineapple as she did melon. How many of each did mrs Gillespie buy

Answers

Answer:

6 pineapple, 6 melons, 8 grapefruits

Step-by-step explanation:

3.25P + 2.75M + 0.5G = 40

P = M

6M + 0.5G = 40

Let M = 6

6(6) + 0.5G = 40

0.5G = 4

G = 8

P = 6

M = 6

G = 8

In a probability experiment, Eric flipped a coin 45 times. The coin landed on heads 30 times. What is the ratio of heads to tails in this experiment?

Answers

Answer:

30:15 (simplified is 2:1)

Step-by-step explanation:

Out of the 45 times Eric flipped a coin, 30 of them landed on heads. Tails is the the only other probable occurance, so since we know that there are 15 trials left, this means that the coin landed on tails 15 times. This would give a heads to tails ratio of 30:15, but the simplified ratio would be 2:1, because that's the smallest it can be divided evenly.

45-30=15

30:15=2:1

5. The shaded area is 327, find r.

Answers

Answer: 10.2

Step-by-step explanation:

Area of a circle is

A= pixr^2

327= 3.14r^2

Divide by 3.14

= 104.14

Get the sq rat of 104.14

= 10.2

the quoient of 36 and 3 is j

Answers

Answer:

j = 12

Step-by-step explanation:

Quotient means the answer when you divide the dividend by the divisor.

In this example, we are dividing 36 by 3, so 36 = dividend, 3 = divisor.

36 / 3 = 12. See the attachment if you need extra help on long division!

 

     

Answer:

It is 12

Step-by-step explanation:

So first you divide 36 by 3. So 3 goes into 3 once. Now 3 goes into 6 twice so there you have it

A spotlight on the ground shines a beam of light to the top of a tree that is 12 m tall. The beam of light makes an angle of 40° with the ground. What is the distance from the spotlight to the base of the tree, rounded to the nearest meter? 10 m 14 m 16 m 19 m A right triangle. The perpendicular is labeled 12 meters. The angle made between the base and the hypotenuse is labeled 40 degrees. The angle made between the base and the perpendicular is marked as a right angle.

Answers

Answer:

B.14 m

Step-by-step explanation:

We are given that

Height of tree=12 m

[tex]\theta=40^{\circ}[/tex]

We have to find the distance between the spotlight and the base of tree.

In triangle ABC

AB=12 m

[tex]tan\theta=\frac{perpendicular\;side}{base}[/tex]

Using the formula

[tex]tan 40=\frac{AB}{BC}=\frac{12}{BC}[/tex]

[tex]BC=\frac{12}{tan 40}=14.3\approx 14 m[/tex]

Hence, option B is true.

Answer:

14m

Step-by-step explanation:

I took the test

which function represents a parabola? ​

Answers

Answer:

b. g(x) only

Step-by-step explanation:

Line a: (–1, 2), (1, 8)

Line b: (–3, –4), (2, 11)



ma = 8 − 2
1 − (− 1)
= 6
2
= 3

mb = 11 − (−4)
2 − (− 3)
= 15
5
= 3

Slope of the line through (1, 8) and (2, 11)

m = 11 − 8
2 − 1
= 3
1
= 3

How many points of intersection are there between line a and line b?
zero
one
two
infinitely many

Answers

Answer:

its D the last one i just took the assignment

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

I took the assignment.

4x3 + x2 - 8x - 2 by grouping

Answers

The answer is 2(3x-1)

Stacy started with $40 in a savings account that earns 5% annually. ​How much interest will she get in one year?

Answers

Here is the answer enjoy

Answer:

$2

Step-by-step explanation:

She earns 5%  of $40 each year. To find how much she makes in 1 year, multiply 5% and 40

40*5%

Convert 5% to a decimal by dividing by 100

5%/100=0.05

40*0.05=2

So, in one year, the account earns $2 in interest

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