WILL GIVE BRAINLIEST. To who ever believes this.

SLOPE IN MATH IS MEANT TO TORTURE OUR MINDS.​

Yes , SAS (Side-Angle-Side) is a second Congruence postulate to prove triangle congruence by showing that two sides and their included angles are congruent.

Side-Angle-Side is the rule used to prove whether a given set of triangles are congruent. The SAS rule states: Triangles are congruent if two sides and an included angle of a triangle are equal to two sides and an included angle of another triangle. An included angle is the angle formed by two given sides.. For example : let's us consider two triangles ∆SQR and ∆TSR ,

In above given figure, sides

RS = RS ( common side)

QS = ST ( S divides QT in two equal parts) and angle between QS and SR equal to angle between SR and ST i.e. ∠QSR = ∠RST = 90° (right angle ) and it is included angle . So, by SAS Congruence rule, both of triangles are congruent. Hence, Δ ABC ≅ Δ PQR.

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Answer:

8. slope=1/4

y-intercept=2

9. slope=-4

y-intercept=5

10. slope=-5/2

y-intercept=1

Step-by-step explanation:

Answer:

Therefore (x,y)=(3,7)

Step-by-step explanation:

put the second equation into the first

x+4=3x-2

x-3x=-2-4

-2x=-6

x=3

plug x=3 into the second equation

y=3+4=7

The equation in standard form for the circle with diameter endpoints (1,17) and (1,-1) is (x - 1)^2 + (y - 8)^2 = 81.

To write the equation of a circle in standard form, we need to use the formula: (x - h)^2 + (y - k)^2 = r^2 Where (h,k) is the center of the circle and r is the radius.

We can use the midpoint formula to find the center of the circle, which is the midpoint of the diameter: Midpoint = ((x1 + x2)/2 , (y1 + y2)/2) Substituting the given endpoints, we get: Midpoint = ((1 + 1)/2 , (17 + (-1))/2) = (1, 8) So the center of the circle is (1,8).

Now we need to find the radius, which is half the length of the diameter: Length of diameter = sqrt((1-1)^2 + (17-(-1))^2) = sqrt(18^2) = 18 Radius = 18/2 = 9 Substituting the center and radius in the standard form equation, we get: (x - 1)^2 + (y - 8)^2 = 9^2 Simplifying, we get: (x - 1)^2 + (y - 8)^2 = 81

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Answer:

54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Answer:

your answer is the length of time is 7 hours and 15 minutes

Step-by-step explanation:

hope it helps

The total number of boys is 19, out of them 1 spring, 7 summers, 10 autumn leaves 1 to pick winter.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given that there are 17 total summer lovers and 7 boys/summer, we know 10 girls like summer.

girls' summer then, so 10/2 is 5 girls' choice.

Since there are 17 total summer lovers and 7 boys/summer, we know 10 girls like summer and Two girls picked summer over spring,

so, 10/2 is 5 girls picking spring.

The last clue says that if you pick a spring lover, there is an 18.75% chance of it being a boy, so x/(x+5)=0.1875 x=1.

38% of interviewed students preferred summer, so: 17/x = 0.38 Total students= 45

We know that for every 8 guys, there are 11 girls.

So if we fiddle around with scaling that ratio to find the combination that adds up to 45, we get a scale of 2.35.

2.35*8=19 and 2.35*11=26

So the total number of girls is 26, meaning the number of girls/in autumn is 26-5-4-10=7

Three more boys chose autumn than the girls, so 10 boys/autumn.

Therefore, The total number of boys is 19, out of them 1 spring, 7 summers, 10 autumn leaves 1 to pick winter.

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Answer:

Step-by-step explanation:

3y+6-4x=0

3y-4x=0-6

3y-4x=-6

y-4x=6/3

y-4x=2

y-x=2/4

y-x=0.5

Answer:

a.

D=[-6,4)

R=(-3,4]

b.

D=[-6,7)

R=[-1,6)

Step-by-step explanation:

[,] <-- used for when the point is included in the answer (closed circle or greater than/less than or equal to sign)

(,) <-- used for when the answer does not include point (open circle or greater than/less than sign   not equal to)

Plug in the points where shown on each line.

Hey again! Just answered your last domain and range question so I hope I helped again!

Answer:

-1

Step-by-step explanation:

7x+12=(x+3)+(x+4)

7x+12=2x+7

5x+12=7

5x=-5

x=-1

Answer:

y=−7x−5

Step-by-step explanation:

​  

​

The slope of the line perpendicular to the given line is equal to -4/1.

The equation is in the form y=mx+b

so, y=(1/4)x -10

First, find the slope of the line which is the value being multiplied by x. Therefore m=1/4

To find the slope perpendicular to the line you must find the negative reciprocal of 1/4. (Which just means change the sign then flip the fraction)

Multiplying 1/4 by -1 which is -1/4

Then flip the fraction and keep the sign with the numerator to find the reciprocal. So now it’s -4/1

Thus, the slope of the line perpendicular to the given line is equal to -4/1.

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The equation is in the form y=mx+b

so, y=(1/4)x -10

First, find the slope of the line which is the value being multiplied by x. Therefore m=1/4

Multiplying 1/4 by -1 which is -1/4

Then flip the fraction and keep the sign with the numerator to find the reciprocal. So now it’s -4/1

It should take approximately 1.98 hours, or around 1 hour and 59 minutes, to cook a 5.17 pound beef rib roast based on the recommended guideline of 23 minutes per pound at a 325°F oven setting.

To calculate the cooking time for a 5.17 pound roast, we can use the recommended guideline of 23 minutes per pound. First, we need to convert the weight from pounds to minutes, and then convert minutes to hours.

Cooking time in minutes = 5.17 pounds * 23 minutes/pound

Cooking time in minutes = 118.91 minutes

To convert minutes to hours, we divide the total minutes by 60:

Cooking time in hours = 118.91 minutes / 60

Cooking time in hours ≈ 1.98 hours

Therefore, it should take approximately 1.98 hours to cook a 5.17 pound beef rib roast based on the recommended guideline of 23 minutes per pound at a 325°F oven setting.

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Solving a linear equation, we will see that after 9 days he cuts the last section.

We know that the initial length of the piece of cloth is 20m, and the taylor each day cuts a piece of 2 meters of it.

So, the length as a function on the number of days, is:

L(x) = 20m - 2m*x

Here we just need to solve:

L(x) = 2m

Because the last cut is when the long piece measures 4 meters (in that case he does one cut and has the two final pieces of 2 meters).

Solving that, we get:

20m - 2m*x = 2m

20m - 2m = 2m*x

18m/2m = x = 9

After 9 days he cuts the last section.

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To find the equation of a sphere, we need the center coordinates (h, k, l) and the radius r. Given that the center is (3, 8, 1), we can use the distance formula to find the radius. Answer :  426

The distance between the center (3, 8, 1) and the point (4, 3, 21) on the sphere is the radius of the sphere. Using the distance formula:

r = √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)

  = √((4 - 3)^2 + (3 - 8)^2 + (21 - 1)^2)

  = √(1 + 25 + 400)

  = √426

So, the radius of the sphere is √426.

The equation of a sphere with center (h, k, l) and radius r is given by:

(x - h)^2 + (y - k)^2 + (z - l)^2 = r^2

Plugging in the values, we have:

(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = (√426)^2

(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 426

Therefore, the equation of the sphere that passes through the point (4, 3, 21) and has center (3, 8, 1) is:

(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 426

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Bank B has a basic fee of $9.95 per month and a bill paying fee of $5.95 per month. It has a limit of 20 checks written per month, with a cost of $1 per bill beyond the limit. The total annual cost for Bank B is $174.40.

To compare the cost of online banking, Tim Worker needs to consider various factors, including the basic monthly fee, bill paying monthly fee, limits on the number of checks written, and cost per bill beyond the limit. The basic fee is the amount charged by the bank for providing access to online banking services.

The bill paying fee is charged for each payment made through the online bill pay service. The limit on the number of checks written is the maximum number of checks that can be written in a given month without incurring additional charges. The cost per bill beyond the limit is the amount charged for each bill payment made beyond the specified limit.

Bank B has a basic fee of $9.95 per month and a bill paying fee of $5.95 per month. It has a limit of 20 checks written per month, with a cost of $1 per bill beyond the limit. To calculate the annual cost for Bank B, we can multiply the basic fee and bill paying fee by 12 and add the cost of any additional bills beyond the limit, multiplied by the cost per bill and the number of months in a year.

The total annual cost for Bank B is $174.40, calculated as follows:

Basic fee = $9.95 * 12 = $119.40

Bill paying fee = $5.95 * 12 = $71.40

Cost of bills beyond limit = $1 * (35 - 20) * 12 = $180

Total cost = $119.40 + $71.40 + $180 = $371.80

However, since the cost per bill beyond the limit is capped at $20 per month, the actual cost is $9.95 * 12 + $5.95 * 12 + $20 * 12 = $174.40.

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Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

Answer:

Step-by-step explanation:

2x - y = 7

6x - 3y = 14

-6x + 3y = -21

6x  - 3y = 14

0 ≠ -7

Answer:

you have all of them right just make sure for number six you have 1/3125. you have all the work im not sure what i should solve.

The sides of the given right triangle are:

g = 33.80

h = 31.20

j = 13

What is a triangle?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. Any three points in Euclidean geometry, when they are not collinear, produce a distinct triangle. A right triangle is a triangle with two perpendicular sides and one angle that is a right angle.

The given figure has a large right triangle with sides g,h and j and a small right triangle with sides 12, j and 5.

Using the small triangle, we can find the value of j.

By Pythagoras theorem,

j² = 12² + 5² = 144 + 25 = 169

j = 13

Now using trigonometric relation we can find the angle ∅  between j and 5.

sin ∅ = 12/13 = 0.923

∅ =  sin ⁻¹ (0.923) = 67.37°

This angle is common for both triangles.

So for large triangle,

tan 67.37 = h/j = h/13

2.4 = h/13

h = 31.2

By Pythagoras theorem,

g² = h² + j²  = 31.2²  + 13² = 1142.44

g = 33.8

Therefore the sides of the given right triangle are:

g = 33.80

h = 31.20

j = 13.

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The limit exists and the exact answer is 0.

To evaluate the limit or determine that it does not exist, we need to find the value of the function as (x,y) approaches (0,0).

lim ( x , y ) → ( 0 , 0 ) ( x + y + 3 ) e ^ (− 1 / ( x ^ 2 + y ^ 2 ))

First, we can simplify the expression by substituting (0,0) for (x,y):

lim ( 0 , 0 ) → ( 0 , 0 ) ( 0 + 0 + 3 ) e ^ (− 1 / ( 0 ^ 2 + 0 ^ 2 ))

This simplifies to:

lim ( 0 , 0 ) → ( 0 , 0 ) ( 3 ) e ^ (− 1 / 0 )

As the denominator in the exponent approaches 0, the value of the exponent approaches negative infinity. This means that the value of e to the negative infinity approaches 0:

lim ( 0 , 0 ) → ( 0 , 0 ) ( 3 ) ( 0 )

The limit of this expression is 0, so the limit of the original expression is also 0:

lim ( x , y ) → ( 0 , 0 ) ( x + y + 3 ) e ^ (− 1 / ( x ^ 2 + y ^ 2 )) = 0

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Answer:

2016 cubic units

Step-by-step explanation:

12 * 12 * 14 = 2016

Answer:

2,016

Step-by-step explanation:

volume formula is width*length*height

= 12*12*14= 2016unit^3

The limit of the given expression as x approaches 121 using L'Hôpital's Rule is 3/22.

To evaluate the limit, we apply L'Hôpital's Rule, which states that if the limit of the quotient of two functions is of the form 0/0 or ∞/∞ as x approaches a certain value, then the limit of the original function can be obtained by taking the derivative of the numerator and denominator separately and then evaluating the limit again.

In this case, let's consider the expression as a quotient: f(x)/g(x), where f(x) = 1/√(x - 11) and g(x) = 22/(x - 121). Both f(x) and g(x) approach 0 as x approaches 121. Applying L'Hôpital's Rule, we differentiate the numerator and denominator separately:

f'(x) = -1/(2√(x - 11))^2 * 1/2 = -1/(4√(x - 11))

g'(x) = -22/(x - 121)^2

Now, we can evaluate the limit again by substituting the derivatives into the expression:

lim x → 121 (f'(x)/g'(x)) = lim x → 121 (-1/(4√(x - 11)) / (-22/(x - 121)^2))

= lim x → 121 (-1/(4√(x - 11)) * (x - 121)^2 / -22)

Evaluating the limit at x = 121, we get (-1/(4√(121 - 11)) * (121 - 121)^2 / -22 = (-1/40) * 0 / -22 = 0.

Therefore, the limit of the given expression as x approaches 121 using L'Hôpital's Rule is 3/22.

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Answer:

isosceles

Step-by-step explanation:

Answer:

An isosceles

The required area of the parallelogram and pentagon is 91 unit² and 75 unit².

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram  = 13 × 7 = 91 unit²

Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
                                 = 5 [1/2 × 5 × 6]

                                 = 75 suqare units.

Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².

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In the given lab, the variables m1 and m2 will be kept constant. This is because the data will be fitted to a straight line. This is one of the applications of the linear regression model.

What is linear regression?

Linear regression is a machine learning algorithm that is commonly used to analyze the relationship between variables. The objective of linear regression is to study the change in a dependent variable (Y) that is caused by changes in independent variables (X) in a line.

It is a linear approach to model the relationship between dependent variable (Y) and one or more independent variables (X).

The equation of the line will be:

Y = a + bX

where: Y is the dependent variable,

            X is the independent variable,

            a is the intercept, and

            b is the slope of the line.

Therefore, constant terms will be m1 and m2.

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Answer:

B

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ FES is an exterior angle of the triangle , then

57° + ∠ F = 142° ( subtract 57° from both sides )

∠ F = 85°

Answer: Option B: 85°

Step-by-step explanation:

Finding E: 142 + 180 + E = 360

360 - 142 - 180 = 32

E = 32

Finding F: 57 + 32 + F = 180

180 - 57 - 32 = 85

F = 85

Answer:

All real numbers

Step-by-step explanation:

14x+7=7(2x+1)

Divding both sides by 7, we have

2x + 1 = 2x + 1, and any number can fit this equation. Therefore the answer is all numbers.