Type SSS, SAS, ASA, SAA, or HL to
justify why the two larger triangles are
congruent.

Answer:

use photo math. it will help

Number of People who knows the Code are 6401

What is Linear Equation in Two Variable?

A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let, Number of People who kows the Code be x

Number of Peoplee who do not know the Code be y

According to the Question:

x + y = 7338 ----------(i)

2x + 5y = 17487 ----------(ii)

Multiplying Equation (i) by 2

2x + 2y = 14676 ---------(iii)

Substracting Equation (iii) from Equation (ii)

3y = 2811

y = 937

This means x = 6401

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Answer:

6160 yards

Step-by-step explanation:

One mile = 1760 yards, so we multiply 1760 by 3.5 to find how many yards 3.5 miles is.

Therefore, the answer is 6160 yards.

The number of yards long is the Red Trail will be 6160 yards.

Conversion means converting the same thing into different units.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The Red Trail is 3.5 miles long. Then convert the miles into yards. Then we have

We know that in one mile, there are 1760 yards. Then we have

⇒ 3.5 miles

⇒ 3.5 x 1760 yards

⇒ 6,160 yards

The number of yards long is the Red Trail will be 6160 yards.

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Answer:

Blue stars are the hottest stars.

Answer:

For x = 10, the lines will be parallel

Step-by-step explanation:

For parallel lines in a triangle, their sides must be proportional

And,

\(\frac{x+4}{x-3} = \frac{x+10}{x}\)

Cross Multiplying

=> x(x+4) = (x-3)(x+10)

=> \(x^2+4x = x^2+7x-30\)

=> \(x^2-x^2+7x-4x = 30\\\)

=> 3x = 30

Dividing both sides by 3

=> x = 10

Answer:

tthe answer is 10

Step-by-step explanation:

just took the test

The new dimension of the rectangular field are 45 ft by 120ft.

If the field has originally dimensions length L and width W, and we apply a scale factor K, then the new dimensions of the rectangle are:

lenght = K*L

width = K*W

In this case the original dimensions are:

L = 30ft

W = 80ft

And the scale factor is K = 1.5, then the new dimensions are:

L' = 1.5*30ft = 45ft

W' = 1.5*80ft = 120ft

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Answer:

Angle P= Angle W=2(2x-6)

=4x-12

Answer:

Step-by-step explanation:

Given sequence:

We observe that:

The recursive formula:

The explicit formula:

It's an arithmetic progression

Explicit formula

The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.

To solve the nonlinear system of equations:

Equation 1: \(y = -x^2 + 7\)

Equation 2: y = 2x + 4

We can equate the right sides of both equations since they both represent y.

\(-x^2 + 7 = 2x + 4\)

To simplify the equation, we can rearrange it to be in the standard quadratic form:

\(x^2 + 2x - 3 = 0\)

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:

(x + 3)(x - 1) = 0

From this equation, we get two possible solutions:

x + 3 = 0 => x = -3

x - 1 = 0 => x = 1

Now, we substitute these x-values back into either equation to find the corresponding y-values.

For x = -3:

y = 2(-3) + 4

y = -6 + 4

y = -2

For x = 1:

y = 2(1) + 4

y = 2 + 4

y = 6

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For this problem we know that the measure of x and y are equal. So then we can set up the following equation:

If we distribute the terms in the left of the equation we got:

And solving for m we got:

And then the final answer for this case would be m=32

Answer: 1000

Step-by-step explanation: since the number next to it is a seven and seven is closer to ten and ten is the first two digits of the answer. The answer is 1000.

Round the integer number 973 nearest hundred will be 1000.

The action of forming anything into a circle. Mathematics. the act of substituting a number with one that is roughly equivalent in value but has fewer digits: To the closest dollar, rounding $27.68 results in $28. a comparable procedure that identifies one of several rules.

The integer is given below.

⇒ 973

Round the number 973 nearest hundred.

If the tens place is more than 5, then the hundred places will be increased by one.

In the tens place is 7, then the number 9 is increased by one that is 10.

Round the integer number 973 nearest hundred will be 1000.

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Answer:

ur question is not complete.

Answer:

total surface area = 136 yd

Step-by-step explanation:

Answer:

For a rectangular prism use this formula to find the surface area:

SA of rectangular prism = 2(lw + wh + lh), where, l is length, w is width and h is the height of the prism.

Now, let's input our numbers given into the equation.

SA = 2(7×6 + 6×2 + 7×2)

Okay, so now that we have an equation filled out, let's solve to find the Surface Area of this rectangular prism.

SA = 2(7×6 + 6×2 + 7×2)

SA = 136 square yards

Step-by-step explanation:

If any questions please put them below.

The population of the island after 10 years will be approximately 2385.

The formula for exponential growth is \(y = y_0e^{(kt)}.\)

The formula for exponential decay is \(y = y_0e^{(-kt)}\).

Increases in a population's or a dispersed group's membership are referred to as population growth. The actual annual increase in the human population is about 83 million, or 1.1%.

Given,  an island's population grows exponentially and the continuous growth rate is 3% per year and the current population is 1,767.

∴ The population be 10 years from now will be,

\(y_{10} = y_0e^{(0.03)\times10}\).

We have written 3% as a decimal and it is the correct way of putting it into the formula for exponential growth or decaying equations.

\(y_{10} = 1767e^{0.3}\).

\(y_{10} = 1767\times1.35\).

\(y_{10} = 2385\).

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If the linear equation with one variable is x / 4 + 2 = –2. Then the value of x will be negative 16.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The equation is given below.

x / 4 + 2 = –2

Solving for x, we have

x / 4 + 2 = –2

     x / 4 = – 2 – 2

     x / 4 = – 4

          x = – 4 × 4

          x = – 16

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Answer:

If you plug in -2 for x in each equation, y=1

Step-by-step explanation:

1)

y = -2x-3

y = -2(-2)-3

y = 4-3

y = 1

In the first equation y=1

2)

y = x+3

y = -2+3

y = 1

As we can see, in both equations when x is plugged in as -2, y = 1

Answer: The answer is D

Step-by-step explanation:

You add z to the other side then it will cancel out which then it would be (w+z)  and then you times it by 2 by both sides which would be 2(w+z) and then you would subtract x from both sides which will be 2(w+z)-x

Hopefully this helps

Answer:

Option (2)

Step-by-step explanation:

From the picture attached,

Angle 1 and angle 2 are the angles made between two lines intersecting each other at a point and a third line is perpendicular to one of them.

Therefore, both the angles are equal in measure.

Rest all the options are not applicable to show the relation between these angles.

Option (2) will be the correct option.

Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2. Therefore, option D is correct.

Given that the point A is at -4 and the point B is at 6.

We need to find the point that divides AB into a 3:2 ratio.

One way to find the point that divides AB into a 3:2 ratio is to divide AB into 5 equal parts.

Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2.

Therefore, option D is correct.
Option A is incorrect because the point that divides AB into a 3:2 ratio is not 0.Option B is incorrect because the point that divides AB into a 3:2 ratio is not 3.Option C is incorrect because the point that divides AB into a 3:2 ratio is not 1.

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The total amount paid in the first month would be $32 for the minimum payment plus $9.20 for the interest, totaling $41.20.

If you have a credit card with an annual percentage rate (APR) of 30% and a minimum payment requirement of 8% of the balance, and you have a balance of $400 on the credit card, you decide to stop charging and pay it off by making the minimum monthly payment each month, here's how it would work:

The minimum monthly payment would be 8% of the balance, which is 0.08 x $400 = $32.

Each month, you would make a payment of $32 towards your credit card balance. However, keep in mind that the interest will continue to accrue on the remaining balance.

Since the APR is 30%, the monthly interest rate would be 30% / 12 = 2.5%.

To calculate the interest charged each month, you multiply the remaining balance by the monthly interest rate. For example, after the first payment, the remaining balance is $400 - $32 = $368. The interest charged for that month would be 2.5% x $368 = $9.20.

Therefore, the total amount paid in the first month would be $32 for the minimum payment plus $9.20 for the interest, totaling $41.20.

Each month, you would continue making the minimum payment, and the interest charged would be based on the remaining balance. The process would continue until the balance is paid off in full.

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The values of the unknown angles are ∠1 = 92°, ∠2 = 24°, ∠3 = 64°, ∠4 = 35°, ∠5 = 81°

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal). For example, in the below-given figure, angle p and angle w are the corresponding angles.

∠1 + 88 = 180°( angles on a straight line)

∠1 = 180 - 88 which is 92°

∠3 = 64°( corresponding angles are equal)

∠2 + ∠1 + ∠3 = 180( sum of angles in a triangle)

∠2 + 92° + 64° = 180

∠2 = 180 - 92 - 64

∠2 = 24°

∠4 + 81 + ∠3 = 180 ( angles on a straight line)

∠4 + 81 + 64 = 180

∠4 = 180 - 64 -81

∠4 = 35°

∠5 = 81°( alternate angles are equal)

In conclusion the values of ∠1, ∠2, ∠3, ∠4, ∠5 are 92°, 24°, 64°, 35° and 81° respectively.

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Using probability concepts, it is found that:

a) Since \(P(A)P(B) \neq 0\), the events are not mutually exclusive.

b) 0.997 = 99.7% probability that the  can does not have a puncture or does not have a smashed edge.

Item a:

Two events, A and B, are mutually exclusive if:

\(P(A \cap B) = 0\)

In this problem:

The problem also states that the probability of neither is \(P(A \cap B) = 0.893\).

Since \(P(A)P(B) \neq 0\), the events are not mutually exclusive.

Item b:

Using Venn probabilities, the "or" probability is given by:

\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)

With the given values:

\(P(A \cup B) = 0.96 + 0.93 - 0.893 = 0.997\)

0.997 = 99.7% probability that the  can does not have a puncture or does not have a smashed edge.

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In the incidence matrix, the element in row 1 column 5 is determined as 1.

The element in row 1 column 5 is calculated as follows;

In an incidence matrix, the rows represent the vertices of the graph, and the columns represent the edges.

Since vertex 1 and vertex 5 are adjacent to each other, the value of the element in row 1 column 5 will be 1, indicating that there is a connection between vertex 1 and vertex 5.

Had it been they are not adjacent, the element would have been 0. Since there will be no connection between them in the polygon.

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Answer:

25

Step-by-step explanation:

When answer questions about unique combinations, there are usually two ways people go about finding the solutions.

First, sometimes it can take a while, but it often helps people visualize the question if they jot down or sketch each different combination. Then, they can just count them up at the end to find there answer.

The easeier way is to use a quick math trick. If you have 5 runners, with 5 potential lanes each runner could start in, you can just multiply these two variables together to get your answer of the number of possible options.

So,

5 runners * 5 lanes = 25 possible combinations for each lane and runner

The number of unique ways that the runner can be arranged in 5 lanes for a race is 120.

Combinations are defined as the arrangement of objects or numbers in a way such that the order of the arrangement does not matter.

Total number of runners = 5

Total number of lanes = 5

Number of ways that 5 runners can be arranged = 5! = 120

Hence the number of ways is 120.

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Answer:

B

Step-by-step explanation:

The leading coefficient is 2 so that rules out C and D. The function also has a root of -4 but the function has to be the opposite giving you +4 and -10.

So, the answer would be 2(x+4)(x+4)(x+4)(x-10)

I got this right on the unit test!!!!

Answer:

b

Step-by-step explanation:

Answer:

S = 2π(3^2) + 2π(3)(8.2) = 67.2π = 211 cm^3

Answer:

The other endpoint of the​ segment is \((-18,-7)\).

Step-by-step explanation:

The midpoint of the points \((x_1,y_1)\) and \((x_2,y_2)\) is given by the following formula:

                                          \((x_m,y_m)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )\)

where \((x_m,y_m)\) = coordinates of the midpoint.

We know that the midpoint is (-15, 2) and an endpoint is (-12, 11). Substituting the information we have gives:

                                         \((-15,2)=(\frac{x_1-12}{2}, \frac{y_1+11}{2} )\)

To find \(x_1\) we need to solve this equation:

\(-15=\frac{x_1-12}{2} \\\\\frac{x_1-12}{2}=-15\\\\\frac{2\left(x_1-12\right)}{2}=2\left(-15\right)\\\\x_1-12=-30\\\\x_1-12+12=-30+12\\\\x_1=-18\)

and to find \(y_1\) we need to solve this equation:

\(2= \frac{y_1+11}{2} \\\\\frac{y_1+11}{2}=2\\\\\frac{2\left(y_1+11\right)}{2}=2\cdot \:2\\\\y_1+11=4\\\\y_1=-7\)

The other endpoint of the​ segment is \((x_1,y_1)=(-18,-7)\).

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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Three ordered pairs that could represent the location of another vertex of the square are (7, 2), (-5, 2), (1, 8).

To find the possible locations of the other vertices of the square, we need to determine the distance from point K to any other vertex of the square. Since the perimeter of the square is 20 units, each side of the square has a length of 20/4 = 5 units.

One way to find the other vertices is to draw a circle with center at K and radius 5 units, and then look for points on the circle that have integer coordinates. Alternatively, we can use the distance formula to calculate the distance from K to another point (x, y), which must be 5 units, and then solve for y in terms of x.

Using the distance formula, we get:

\(\sqrt{(x-1)^{2} +(y-1)^{2} }\) = 5

Simplifying and squaring both sides, we get:

(x-1)^2 + (y-2)^2 = 25

Expanding the left side and simplifying, we get:

\(x^{2}\) - 2x + \(y^{2}\) - 4y + 20 = 0

Completing the square for x and y, we get:

\((x-1)^{2}\)  + \((y-1)^{2}\)  = \(6^{2}\)

This is the equation of a circle with center at (1, 2) and radius 6 units. Any point on this circle that has integer coordinates could be a vertex of the square, since it will be exactly 5 units away from K.

Using this method, we can find several possible locations of the other vertices of the square. Three of them are:

(7, 2), (-5, 2), (1, 8)

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