The difference of two supplementary angles is 74. Find the measures of the two angles.

Answer:

2y

Step-by-step explanation:

Since 17y and 15y both have a y, you can combine it. You can subtract 17-15 to get 2, so the answer is 2y.

Using mathematical operations, the distance that differentiates Terry and Damon is 7 kilometers.

Mathematical operations are the computation of values using mathematical operands (÷, ×, +, -, etc), and mathematical operators like addition, subtraction, division, and multiplication.

In this situation, we use the subtraction operation to determine the difference or the distance between Terry and Damon.

The total distance between Toronto and Sudbury = 418 km

The distance covered by Terry from Sudbury to Toronto = 310 km

The length yet to be covered by Terry = 108 km (418 - 310)

The distance covered by Damon from Toronto to Sudbury = 303 km

The length remaining for Damon = 115 km (418 - 303)

The distance apart between Damon and Terry = 7 km (115 - 108)

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The random probability of event X, wheel stopping on a white slice is 0.9 while the probability of not X, wheel stopping on Grey slice is 0.1

Therefore, the probability that wheel stops on a white slice is 0.9 while, the probability that wheel does not stop on a white slice is 0.1

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Answer: (80.1786, 83.8214)

Step-by-step explanation:

Confidence interval for population mean is given by :-

\(\overline{x}\pm z_c\dfrac{\sigma}{\sqrt{n}}\) , where \(\overline{x}\) = Sample mean , n= sample size , \(\sigma\) = standard deviation, \(z_c\) = critical z-value.

Given: n= 50,  \(\overline{x}= 82\) , \(\sigma=5\)

Critical z-value for 99% confidence level = 2.576

Now, a 99 % confidence interval for the mean:

\(82\pm(2.576)\dfrac{5}{\sqrt{50}}\\\\=82\pm(2.576)(0.70710)\\\\=82\pm1.8215\\\\=(82-1.8214,\ 82+1.8214)\\\\=(80.1786,\ 83.8214)\)

Hence, required 99% confidence interval = (80.1786, 83.8214)

The system A has no solution.

The system B has the solution y=( 3-x )/3

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

System A:

x+3y=9..........(1)

-x-3y=9 ..........(2)

(1) => x=9-3y........(3)

Substitute (3) into (2)

(2) = >  - ( 9-3y ) - 3y = 9

          -9 + 3y - 3y = 9

          -9 =9

This is false.

So, the system has no solution.

System B:

-x-3y=-3..........(1)

x+3y=3..........(2)

(2) => x=3-3y........(3)

Substitute (3) into (1)

-(3-3y)-3y=-3

-3+3y-3y= -3

-3=-3

This is true,

So, the solution is:

x=3-3y

=> 3y= 3-x

=> y=( 3-x )/3

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The probability of rolling a die and getting a 2, then a 5, is 1/36.

To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.

First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.

Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.

To find the probability of both events happening, we multiply the probabilities:

Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.

It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.

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Answer:

\(\huge\boxed{f(x)=-5(x-4)^2-1=-5x^2+40x-81}\)

Step-by-step explanation:

The vertex form of an equation of a parabola:

\(f(x)=a(x-h)^2+k\)

\((h;\ k)\) - vertex

We have

vertex \((4;\ -1)\to h=4;\ k=-1\)

\(f(3)=-6\)

Therefore we have:

\(f(x)=a(x-4)^2+(-1)=a(x-4)^2-1\)

Substitute \(x=3\) and \(f(3)=-6\)

\(a(3-4)^2-1=-6\qquad|\text{add 1 to both sides}\\\\a(-1)^2=-6+1\\\\a(1)=-5\\\\a=-5\)

Finally:

\(f(x)=-5(x-4)^2-1=-5(x^2-2(x)(4)+4^2)-1\\\\=-5(x^2-8x+16)-1=-5x^2+(-5)(-8x)+(-5)(16)-1\\\\=-5x^2+40x-80-1=-5x^2+40x-81\)

Answer:

See step by step.

Step-by-step explanation:

lets define the events:
A: cuban festival        C: tropical Garden
B: street art show      D: african festival

a) theoretically the probability is

\(P(A)=P(B)=P(C)=P(D)= \frac{1}{4} = 0.25 \\\)
This is 25% (for each one, equally)

b) The experimental probability is given by:

\(P(A)= \frac{32}{150} =0.2133\)

\(P(B)= \frac{38}{150} =0.2533\)

\(P(C)= \frac{35}{150} =0.2333\)
\(P(D)= \frac{45}{150} =0.3000\)

c) The theoretically probabilities are all equally, the experimental probabilities are close to 25% each one, but differ lightly each one, since is an experiment and the result is random.  

Answer:

38

Step-by-step explanation:

Notice that the first triangle is an isosceles triangle, meaning that the base angles are equivalent. Since one angle is 62, we know that the other is 62 as well, which makes 124. This means that angle 2 is 56 degrees. Since 2 and 3 are on the same 'line', they both add up to 180. If 2 is 56, then angle 3 is 124. So the three angles inside the triangle are 124, 18, and x. So, 124+18=142. 180-142= 38

Answer:

7:01

29%

Doyan of low

Shiman 1-R-1

Flous 1-1 Gambe 1-4-20

12 dual purpose

Martins 1-2-3 Flores 1-2, 1-3, 14

Gamba 2-1-5

Custand 1-4, 2-1

Conditions " humanitarian groups Salahiel 1-1-1, 1-1-2, 1-2-3 1-R-5, 2-L-2, 2-L-3, 2-14, 2-1-5, 2-RI

Flores 1-30

Munting 1-2-4

Gumbon 1-1-3 CDP 1-1-3

Status oppose ending 742 Montoya 1-1, 1-2, 1-3

federal courts challenge

Gamboa 1-R-2 Custom 1-7

CDP 1-L-36, 1-2-4

de Vogue 1-2-1, 2-1-5, 2-L-6

7 expulsions at boders

root causes textul Amer.

Cop 1-L-34, 1-1-2, 1-R-4

Border Report 1-2

CDP 1-R-2, 1-R-3 Montoya 1-8

Custarda 2-2

=

CLOSE

Hopes this helps :)

Area = length x width

Area = 150 x 75

Area = 11,250 square feet

Answer:

11,250 ft

\( {?}^{2} \)

Answer:

(C) A reflection across a horizontal line and a horizontal translation

Step-by-step explanation:

We can see that, near the x-axis, these shapes are 3 y values away from the x-axis, meaning that if we reflect one over the x-axis we will be at the same y values as the other shape.

Reflecting these points shows that we’ve got the same shape, just skewed the one side. We can then translate this shape horizontally to get it to where we want it.

Hope this helped!

Answer:

73

Step-by-step explanation:

180-107=73

angle 1 is congruent to angle 3 which is 107 degrees

(0.4n)(16n) = (0.4)(16)(n)(n) = 6.4n²

Answer: 6.4n²

Hope this helps!! plz mark brainliest??

Answer:

V = ⅓ (πr²h)

V = ⅓ (3.14) (6m²) (7cm)

V = ⅓ (3.14) (36cm) (7cm)

V = ⅓ (113. 04cm) (7cm)

V = (791.28cm) / (3)

V = (263.76cm³)

hope this helps :)

If Fran and Jill made a new years resolution to ride bikes.  it will take 3 weeks for Fran and Jill to have ridden the same number of miles..

Let's assume that it takes "x" number of weeks for Fran and Jill to ride the same number of miles.

In the first week, Fran rides 40 miles, and Jill rides 70 miles.

In the "x"th week, Fran will have ridden a total of 40 + 55x miles.

In the "x"th week, Jill will have ridden a total of 70 + 45x miles.

For Fran and Jill to ride the same number of miles in "x" weeks, we need to solve the following equation:

40 + 55x = 70 + 45x

Simplifying this equation, we get:

10x = 30

x = 3

Therefore, it will take 3 weeks for Fran and Jill to have ridden the same number of miles.

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Answer:

326

Step-by-step explanation:

The value of the given expression is 326.

Given:

The given expression 2 hundreds + 12 tens + 6 ones.

To find:

The value of the given expression.

Explanation:

The numeric form of given expression is:

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

Therefore, the value of the given expression is 326.

The equation is accurate. A line's slope and y-intercept are expressed in the form y is mx + c, where m is the slope and c is the y-intercept.

A line's slope and y-intercept are expressed in the form y = mx + c, where m is the slope and c is the y-intercept.

y = (3/2)x + 1 is the given equation for the line.

Add x = 0 to the above equation, y = (3/2)(0) + 1 y = 1, to determine the line's y-intercept.

Take note that the line's graph's y-intercept is also 1.

The line's graph includes points (2,4).

Put the coordinates of the location into the above equation to see if it matches the coordinates of (2,4) or not:

4 = (3/2)(2) + 1

4 =4

The equation is accurate.

Consequently, it can be claimed that the following equation reflects the graph.

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Answer:

the prime numbers between 30 and 40 are 31 and 37 come on its so easy

Answer:

The second one is a better deal

Step-by-step explanation:

Answer:

$61.05 for 15 gal is better deal

Step-by-step explanation:

$61.05 divided by 15=$4.07 per gallon

$21 divided by 5= $4.2 per gallon

Answer:

True

Step-by-step explanation:

This is true by definition.

Answer:  y=12

Step-by-step explanation:

96=8y

96/8=y

12=y

The internal angles of 64.801° (2 in total) and 115.199° (2 in total) lead to a maximum area of 27.88 square units.

Quadrilaterals are figures formed by four line segments and whose sum of internal angles equals 360°. By geometry we know that the area of a trapezoid is the average of the length of the two bases (B, b), in inches, multiplied by the height of the quadrilateral.

A = 0.5 · (B + b) · h   (1)

By trigonometry the measure of the longer base and the height of the isosceles trapezoid are, respectively:

B = b + 2 · l · cos θ   (2)

h = l · sin θ   (3)

Where θ is an internal angle, in degrees.

By (2) and (3) in (1):

A = 0.5 · (2 · b + 2 · l · cos θ) · (l · sin θ)

A = (b + l · cos θ) · (l · sin θ)

A = b · l · sin θ + l² · sin θ · cos θ

A = b · l · sin θ + 0.5 · l² · sin 2θ  (4)

If we know that b = 6 in and l = 4 in, then the area of the isosceles trapezoid is represented by the following function:

A = 24 · sin θ + 8 · sin 2θ   (5)

Now we determine the angle associated to the maximum area by graphic approach.

According to this approach, the internal angles of 64.801° (2 in total) and 115.199° (2 in total) lead to a maximum area of 27.88 square units. \(\blacksquare\)

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The fraction equivalent to 100% is 100/100

The percentage is given as:

Percentage = 100%

The term % means over 100 i.e. /100

So, we have:

Percentage = 100/100

This means that 100/100 is equivalent to 100%

Hence, the fraction equivalent to 100% is 100/100

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Answer:

1. a = 0 and 5

2. no solutions

Step-by-step explanation:

For absolute value, it's the distance from that number on the number line to 0, so it has to be positive. We define absolute value as when |a| = b, a = b and a = -b.

1. |a - 5| = 5 - a

a - 5 = 5 - a

2a = 10

a = 5

AND

a - 5 = -(5 - a)

a - 5 = -5 + a

-5 = -5

a = 0 (a could work as 0 in this scenario)

Thus our solutions are a = 0 and 5.

2. |a| = -1

Now we have to catch ourselves here. Since absolute value is always positive, nothing works. There is no negative distance to 0 (at least in real numbers).  Hence, we can say that there are no solutions.

The requried graphs of both inverse functions of 25. and 27 has been shown.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

25.

The equation of the parabola passing through (1,0) and having vertex (0,-1) is y = x² - 1.

The inverse of the above expression is given as,

y = √[x + 1]

27.

The equation of the line is y = (-1/2)x + 3.

Now inverse of the above equation is given as,
y = -2x + 3

Thus, the requried graphs of both inverse functions of 25. and 27 has been shown.

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The order of the matrices of each product is given as follows:

AB is nonexistent, BA is nonexistent.

Multiplication of matrices is applied multiplying the rows of the first matrix by the columns of the second matrix, and hence the number of columns of the first matrix must be equal to the number of rows of the second matrix.

For the product AB, we have that:

Hence the product is nonexistent.

For the product BA, we have that:

Hence the product is nonexistent.

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After the double rotation, the vertices of the quadrilateral MNPQ are transformed to M'', N'', P'', and Q''. The shape of the quadrilateral may have changed, but the order of the vertices remains the same.

When a quadrilateral MNPQ is rotated counterclockwise at 90 degrees about the origin, each vertex undergoes a transformation.

The new positions of the vertices after this rotation can be denoted as M', N', P', and Q'. The order of the vertices remains the same.

Next, when the rotated quadrilateral M'N'P'Q' is further rotated counterclockwise at 270 degrees about the origin, each vertex undergoes another transformation.

The new positions of the vertices after this rotation can be denoted as M'', N'', P'', and Q''. Again, the order of the vertices remains the same.

It's important to note that a 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.

The result of the double rotation is equivalent to a single clockwise rotation of 90 degrees.

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