Write and solve an equation to find the value of x.
(5x)
P Р
95°
0
5x+95=180
x= 17
5x+95=90
X=-1
5x+180=95
X=-17

i don't know please answer me

The perimeter and area of triangle are 22.15 units and 15 unit² respectively

The sketch of the triangle is shown in the image attached.

The perimeter of the triangle is sum of the sides AB, AC and BC.

The length of the sides can found using the formula:

L =√((x2 – x1)² + (y2 – y1)²)

Side AB:

A(-5, 2), B (-3, 5)

L =√((-3 – (-5))² + (5 – 2)²) = 3.61 units

Side AC:

A(-5, 2),  C(5, 2)

L =√((5 – (-5))² + (2 – 2)²) = 10 units

Side BC:

B (-3, 5),  C(5, 2)

L =√((5 – (-3))² + (2 – 5)²) = 8.54 units

Altitude BD:

B (-3, 5),  D (-3, 2)

L = 5 - 2 = 3 units  

Note: The x-axis is the same, we can simply subtract the y to get L.  

Perimeter = AB + AC + BC

Perimeter = 3.61 + 10 + 8.54 = 22.15 units

Area = 1/2 * base * height

Area = 1/2 * AC * BD

Area = 1/2 * 10 * 3 = 15 unit²

Learn more about area of triangle on:

brainly.com/question/17335144

#SPJ1

Answer: The perimeter and area of the triangle should be 22.15 units and 15^2 units

Not one of my best answers, but I hope it will help :)

The potential solutions of logarithmic function using the logarithmic properties are found as -9 and 4.

The product of the log rule says that the sum of number of logarithm functions is equal to the log function of product of all the numbers, given  that base is same.

The given logarithmic function in the problem is,

\(\log_6x+\log(6x+5)=2\)

Using the product rule of logarithmic function, the above equation can be written as,

\(\log_6(x\times(x+5))=2\\\log_6(x^2+5x))=2\)

Using the equality rule of logarithmic function, the above equation can be written as,

\(x^2+5x=6^2\\x^2+5x=36\)

Take all the terms one side of the equation as,

\(x^2+5x-36=0\)

Find the factors of above equation using the split the middle term method as,

\(x^2+9x-4x-36=0\\x(x+9)-4(x+9)=0\\(x+9)(x-4)=0\)

By equating these factor to the zero one by one, we get the potential solution as -9 and 4.

Thus, the potential solutions of logarithmic function using the logarithmic properties are found as -9 and 4.

Learn more about the rules of logarithmic function here;

https://brainly.com/question/13473114

Answer:

-9 and 4

Step-by-step explanation:

Did it on edge :)

The relationship between the figure JKLM and it's image, J'K'L'M' following a dilation by a scale factor of 1 is that JKLM and J'K'L'M' have the same dimensions, and location

Scale factors are numbers that are used to multiply a quantity to scale it by a given rate.

Part A

In order to easily describe the relationship between the image J'K'L'M' and the original figure JKLM, the point J can be taken as the origin such that the image vertices are obtained by dilating the points on the original figure in their original direction relative to J using the specified scale factor.

The coordinates of the vertices of JKLM relative to J are;

J(0, 0), K(6, 0), L(6, -6), M(0, -6)

Distance of K from J = 6 - 0 = 6 units to the right of K

Therefore, using a scale factor of 1;

The distances of the vertices of square J'K'L'M' from point J are the same and in the same direction as the distances of the vertices of square JKLM from point J.

The vertices of J'K'L'M' using a scale factor of 1 are therefore located at the same coordinates as the vertices of square JKLM

Learn more about drawing scale factors here:

https://brainly.com/question/28606730

#SPJ1

Answer:

False

Step-by-step explanation:

rise is the vertical change between any two points on a line.

Answer:

  $2572.22

Step-by-step explanation:

You want the value of an investment of $2000 after 7 years when it earns interest at 3.6% compounded monthly.

The formula for the account value earning compound interest is ...

  A = P(1 +r/n)^(n·t)

You have P=2000, r=0.036, n=12, t=7, so the account value is ...

  A = $2000(1 +0.036/12)^(12·7) ≈ $2572.22

The probability that a randomly selected datum falls within 2 standard deviations of the mean as required is; 0.95.

By observation, it follows that the distribution as represented in the task content above is a normal distribution.

On this note, the empirical rule applies as follows;

For a standard normal distribution, 68% of the observations (datum) fall within 1 standard deviation of the mean; 95% of the datum lie within two standard deviation of the mean; and 99.9% lie within 3 standard deviations of the mean.

On this note, when expressed as a percentage; the probability that the randomly selected datum falls with 2 standard deviations is; 95/100 = 0.95.

Read more on normal distribution;

https://brainly.com/question/26822684

#SPJ1

The detail from “The Gold Coin” that best supports the inference that Juan is beginning to enjoy reconnecting with people is when he helps the old woman carry her basket of fruit.

Juan is a thief, and he has been for many years. He has no friends, and he doesn't care about anyone but himself. But when he sees the old woman struggling with her groceries, he stops and helps her.

This act of kindness shows that Juan is beginning to change. He is starting to care about other people, and he is starting to understand that there is more to life than just stealing. This is a significant development in Juan's character, and it suggests that he is on the road to redemption.

Find out more on inference support at https://brainly.com/question/29341318

#SPJ1

Answer:

19

Step-by-step explanation:

(5x+37)+(3x-9)=180

8x= 152

x=19

Answer:

y=-\(\frac{5}{8}\)x-5

Step-by-step explanation:

Start with the slope equation \(\frac{y_{2}-y_{1} }{x_{2} -x_{1} }\).

\(\frac{-10-(-5)}{8-0}=\frac{-5}{8}\)

This is the slope of your equation

Now rearrange the slope-intercept equation to get your y-intercept

y=mx+b

y-mx=b

Now substitute either of your two points to find your y-intercept

-10-(-\(\frac{5}{8}\)(8))=b

-10-(-5)=b

-10+5=b

b=-5

Now that you have slope and the y-intercept you can write your equation:

y=-\(\frac{5}{8}\)x-5

The incubation time for Rhode Island Red chicks is normally distributed, with a mean of 21 days and a standard deviation of approximately 2 days.

a. 95% of the Rhode Island chicks incubation time is between 19 and 23 days.

b. 5% of the Rhode Island chicks incubation time is in the interval of (23, 25) days.

c. 50% of the Rhode Island chicks incubation time is is less than 21 days.

d. 34% of the Rhode Island chicks incubation time is between 21 days and 23 days.

e. 100% of the Rhode Island chicks incubation time is more than 19 days.

The incubation time for Rhode Island Red chicks is normally distributed, with a mean of 21 days and a standard deviation of approximately 2 days. 95% of the chicks incubation time is between 19 and 23 days, 5% is between 23 and 25 days, 50% is less than 21 days, 34% is between 21 and 23 days, and 100% is more than 19 days.

Learn more about mean here

https://brainly.com/question/15323584

#SPJ4

Using the formulas

AB=s(s﹣a)(s﹣b)(s﹣c)

V=ABh

s=a+b+c

2

Solving for V

V=1

4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=1

4·12·﹣184+2·(18·18)2+2·(18·2)2﹣184+2·(18·2)2﹣24≈215.66641

or 216.

Answer:

8oz = .5lbs

128lb = 2,048oz

64lbs = 1,024oz

1 1/2lbs = 24oz

5lbs = 80oz

1lb = 16oz

Step-by-step explanation:

Answer:

if am right it 1/2 if i didnt help am sorry

Step-by-step explanation:

btw way can u answer one of my question pls *smile* :)

The Beck Depression Inventory (BDI) would be an example of a measurement instrument.

A measurement instrument is a tool or technique used to measure or assess a particular variable or construct, in this case, depression. The BDI is a standardized self-report questionnaire that is widely used to assess the severity of depressive symptoms. It consists of 21 questions or items that ask the respondent to rate the intensity of their depressive symptoms on a 4-point scale. The total score on the BDI can be used to classify the severity of depression and guide treatment decisions.

In contrast, a variable is a characteristic or attribute that can take on different values or levels, such as age, gender, or income. Data refers to the collection of measurements or observations obtained from a particular study or investigation. Internal validity is a concept that refers to the extent to which a study is designed and conducted in a way that minimizes the potential for bias or confounding variables.

To know more about measurement instrument,

https://brainly.com/question/15998581

#SPJ11

Answer:

100

Step-by-step explanation:

6 seconds to select + 14 seconds to complete check out

to complete transaction order of 5 products equal 100 second

Factorial design are useful in testing theories because they enable researchers to investigate a theory's construct validity. so the correct answer  is option  (a).

A key technique for identifying the impact of numerous variables on a response is the factorial design. Traditionally, experiments are planned to ascertain how one variable affects just one response.

The corpus of knowledge supporting the analysis and application of test results. The definition and measurement of reliability are of primary relevance. Classical test theory, generalizability theory, and item response theory are examples of theoretical frameworks.

a) They enable academics to investigate a theory's construct validity.

To know more about factorial design visit:

https://brainly.com/question/14053832

#SPJI

The inverse function that represents the gallons g as a function of miles m is:

               g = m/35.

What is meant by the inverse of a function?

A function takes in values, applies specific operations to them, and produces an output. The inverse function acts, agrees with the outcome, and returns to the initial function.

A function that can reverse into another function is known as an inverse function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. When a function is written as "f" or "F," its inverse is written as " f ⁻¹ " or " F ⁻¹."

Given a function m = 35g

 where m = distance in miles travelled by the truck

            g = gallons of gas used to travel m distance

If the function is m = 35g

Then the inverse function is g = m/35.

The inverse of the given function tells us how many gallons of gas are needed for a given number of miles.

Therefore the inverse function that represents the gallons g as a function of miles m is:

               g = m/35.

To learn more about inverse functions, follow the link.

brainly.com/question/3831584

#SPJ1

On solving this trigonometry, we find that (a) sec(sin⁻¹ \(\frac{12}{13}\)) = \(\frac{13}{5}\) and (b) tan(sin⁻¹ \(\frac{12}{13}\)) = \(\frac{12}{5}\)

(a) To find the exact value of sec(sin⁻¹ \(\frac{12}{13}\)), we can use the fact that sec(x) = \(\frac{1}{cos}\)(x). Let's draw a right triangle with opposite side 12 and hypotenuse 13. Using the Pythagorean theorem, we can find the adjacent side:

a² + b² = c²

a² + 12² = 13²

a² = 169 - 144

a = √25

a = 5

So our triangle has sides of length 5, 12, and 13. Now we can find cos(sin⁻¹  \(\frac{12}{13}\)) by looking at the adjacent/hypotenuse ratio in this triangle:

cos(sin⁻¹ \(\frac{12}{13}\)) =  \(\frac{5}{13}\)

Therefore, sec(sin⁻¹(12/13)) = 1/cos(sin⁻¹ \(\frac{12}{13}\))

                                            = 1/\(\frac{5}{13}\)

                                            = \(\frac{13}{5}\).

So the exact value of sec(sin⁻¹ \(\frac{12}{13}\)) is \(\frac{13}{5}\).

(b) To find the exact value of tan(sin⁻¹ \(\frac{12}{13}\)), we can use the fact that tan(x) = sin(x)/cos(x). Let's use the same right triangle as before.

Then sin(sin⁻¹ \(\frac{12}{13}\))=  \(\frac{12}{13}\) and cos  \(\frac{12}{13}\)) = \(\frac{5}{13}\)  , so

tan(sin⁻¹ \(\frac{12}{13}\)) = sin(sin⁻¹ \(\frac{12}{13}\))/cos(sin⁻¹\(\frac{12}{13}\))

                        = \(\frac{12}{13}\) / \(\frac{5}{3}\)

                        = \(\frac{12}{5}\)

So the exact value of tan(sin⁻¹ \(\frac{12}{13}\)) is \(\frac{12}{5}\).

To learn more about trigonometry, refer to:

https://brainly.in/question/2685053

#SPJ4

Answer:

Radius: 22 Circumference: 138.23

Step-by-step explanation:

The radius is half of the diameter so 44/2 is 22.

The circumference can be found by 2*pi*r or pi*d.

\(2\pi22\) or \(\pi 44\)

Answer:

c

Step-by-step explanation:

The pmf provides the probabilities of having 1, 2, or 3 children in the family based on the condition that the family stops having children once it has three children of the same gender.

To find the probability mass function (pmf) of the number of children in the family, we need to consider the possible values of x (the number of children) and their corresponding probabilities.
Let's analyze the possibilities:

1. x = 1 (only one child): The probability of having either a boy or a girl is 0.5. Therefore, P(x=1) = P(B or G) = 0.5.

2. x = 2 (two children): The possible outcomes are BB, GG, or BG (in any order). Each of these outcomes has a probability of 0.5 * 0.5 = 0.25. Therefore, P(x=2) = P(BB or GG or BG) = 0.25 + 0.25 + 0.25 = 0.75.

3. x = 3 (three children): The only outcome that satisfies the condition is BBB or GGG (in any order). Each of these outcomes has a probability of 0.5 * 0.5 * 0.5 = 0.125. Therefore, P(x=3) = P(BBB or GGG) = 0.125 + 0.125 = 0.25.

From the above analysis, we have:

P(x=1) = 0.5
P(x=2) = 0.75
P(x=3) = 0.25

To summarize, the pmf of x (the number of children in the family) is:
P(x=1) = 0.5, P(x=2) = 0.75, P(x=3) = 0.25.

The pmf provides the probabilities of having 1, 2, or 3 children in the family based on the condition that the family stops having children once it has three children of the same gender.

To know more about probabilities , visit:

brainly.com/question/29381779

#SPJ11

Answer:

x-axis = (18, 0)

y-axis = (0, 12)

Quadrant I = (4.5, 10.6)

Quadrant II = (-15, 21)

Quadrant III = (-3/4, -4 1/9)

Quadrant IV = (3, -7)

Step-by-step explanation:

Hope this is helpful.

If by the SAS similarity theorem, the length of AD include the following: C. 24 units.

In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Based on the side, angle, side (SAS) similarity theorem, we can logically deduce the following congruent angles and similar sides:

AB/AC = AE/AD

6/(6 + 30) = 4/AD

6/36 = 4/AD

6AD = 144

AD = 144/6

AD = 24 units.

Read more on triangle here: brainly.com/question/9858556

#SPJ1

The formula for calculating the required sample size to estimate the population mean with a 90% confidence level is given by:

n = ((z_(α/2)×σ) / E)²Here, z_(α/2) is the z-value for the given level of confidence (90% in this case), σ is the population standard deviation (6.8 in this case), and E is the maximum error we can tolerate (0.02 in this case).

Substituting the given values in the formula, we get:

n = ((z_(α/2)×σ) / E)²n = ((1.645×6.8) / 0.02)²n = 1910.96

Rounding up to the nearest whole number, we get the required sample size to be 1911.

Therefore, a sample size of 1911 is required to estimate the population mean with a 90% confidence level and an error of less than 0.02.

To know more about sample size visit:

https://brainly.com/question/30100088

#SPJ11

Answer:

a

Step-by-step explanation:

Answer: C  72=9÷1/8

I hope this helps:

Answer:

532.86

Step-by-step explanation:

just subtract starting with the numbers after the decimal place

Answer:

x = 6.8

Step-by-step explanation:

Answer: 9.13333333333

3 1/3+ 5 4/5=

Answer#2  1.86666666667

Answer:

why is there a korean letter in there im  so lost lol

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume of Rectangular Prism: V = lwh.

Surface Area of Rectangular Prism: S = 2(lw + lh + wh)

Space Diagonal of Rectangular Prism: (similar to the distance between 2 points) d = √(l2 + w2 + h2)

천만에요

너 도넛