susanne checks the temp. at 11:00am she notices that if the temp. rises by 8 more degrees it will break the record high temp. for the day witch is 82 degreese

∠1 and ∠4 are vertical interior angle.

∠1 ≅ ∠5 follows Transitive property of congruence

g ║h  by corresponding angle theorem

The diagram is to prove alternate interior angles converse.

Therefore,

∠4 ≅ ∠5 (Alternate interior angles)

By, the vertical interior angle congruence, ∠1 ≅ ∠4

Vertically opposite angles are congruent. Vertically opposite angles share the same vertex.

Then by the Transitive property of congruence, ∠1 ≅ ∠5.

So, by the corresponding angles theorem, g ║h

Corresponding angles are usually congruent.

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Answer:i don't know if right but 19  

Step-by-step explanation:

When Ian scores 44 out of 60, his score as a 1 decimal point is 0.3.

From the information, Ian scores 44 out of 60. This will be illustrated as:

Ian's score = 44

Total score = 60

The decimal will be illustrated as:

= Ian's score / Total score

= 44 / 60

= 4 / 15

= 0.3

Therefore, the score is 0.3

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The value of 9792381 ÷ 13 with the remainder will be 753260 remainder 1.

In contrast to multiplication, division is the process of dividing a given sum into equal pieces.

To solve the division will be illustrated as thus;

The formula to calculate the division of two numbers is: Dividend ÷ Divisor = Quotient + Remainder.

Calculate the division as usual using your calculator. Once you have the result in decimal form, take the entire number out and multiply the decimal value that remains by the original problem's divisor. The outcome is your remainder.

In this case, the value when we divide 9792381 by 13 is 753260 remainder 1.

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Answer:

y=mx+b so the answer is 28980/420 which equals 69 lol

Step-by-step explanation:

Answer: 4.20

Step-by-step explanation:

6.30 / 3 = 2.10

2.10 x 2 = 4.20

Cosine is a trigonometric ratio that means

[tex] = \frac{adjacent}{hypotenuse} [/tex]

THE ADJACENT SIDE IS THE ONE WITH MAGNITUDE 17CM AND THE HYPOTENUSE IS THE LONGEST SIDE WITH 37CM

COS(63°) AS A FRACTION IS

[tex] \frac{17}{37} [/tex]

Answer:

0.62853934

Step-by-step explanation:

Use a calculator.

I didn't get very far by hand. I've attached my partial solution.

We have the expression:

If we apply the logarithm with base 30 to both sides, we obtain:

Answer: an equivalent logarithmic expression is log_30(y) = 1/6

After approximately 1.4 seconds will the ball reach the ground.

The relation between height and the time in seconds is,

y = -4.9x² + 9.8

Here y represent height in meters and x is time in seconds.

Let us assume that the origin is on the ground,

Now we know,

If the ball is dropped from the top at t = 0.

It will reach down to the ground after x seconds.

When it will down to the ground, and the value of y will become zero,

We can write,

y = -4.9x² + 9.8

0 = -4.9x² + 9.8

4.9x² = 9.8

x² = 2

x = √2

x = 1.41 seconds.

The time taken by ball to reach down to the ground is 1.41 seconds.

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Answer:

p = 0

Steps shown below

Step-by-step explanation:

5p + 7 - 3p = 3(2 - p) + 1

5p + 7 - 3p = 6 - 3p + 1 (Distributive Property of Equality)

2p + 7 = 7 - 3p (Combine Like Terms)

2p + 7 + 3p = 7 - 3p + 3p (Addition Property of Equality)

5p + 7 = 7 (Simplify)

5p + 7 - 7 = 7 - 7 (Subtraction Property of Equality)

5p = 0 (Combine Like Terms)

5p/5 = 0/5 (Division Property of Equality)

p = 0 (Simplify)

Answer:

x = 3

Step-by-step explanation:

6 + 8x

---------  =  5x

   2

6 + 8x

---------  =  5x (2)

   2 (2)

6 + 8x = 10x

   -8x      -8x

------------------

6 = 2x

÷2  ÷2

-----------

3 = x

I hope this helps!

The answers of the given question are a followed

2. Same side interior angle theorem

3. Same side interior angle theorem

4. Vertical angle theorem

5. Vertical angle theorem

6. Substitution

The Vertical Angle Theorem states that two intersecting lines' opposing angles must be congruent, or of equal value. The angles opposite to each other will always be congruent, or equal in value, regardless of the manner in which or the location at which two straight lines intersect one another:

Two straight lines that cross each other create two linear pairs, according to the Vertical Angle Theorem. As a result, the adjacent angles created by the intersection of two lines are supplementary angles, meaning that their angles sum to 180 degrees:

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Answer:

Step-by-step explanation:

huh???????????????

The number obtained by multiplying 5 and square root 164 is 64.

The square root operator in mathematics can be defined as a factor of a number that, when multiplied by itself, gives the original number.

The square root operator in mathematics is denoted by the symbol "√".

The problem 5 (square root of 164) is calculated as follows;

5 ( square root of 164) = 5√164

5√164 = 5(12.8) = 5 x 12.8 = 64

Thus, we can conclude that using the mathematics operator  "√", the number obtained from 5 (square root of 164)  will be greater than 5 but less than 164.

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The equation of the linear function represented by the given table in slope intercept form is y = 2x - 2.

The equation of line can be determine using the slope-intercept formula;

y = mx + b

Where m is slope and b is the y-intercept.

From the given table, we use to points;

Point 1( -1, -4 )

Point 2( 1, 0 )

First, we find the slope of the line.

Slope m = (y₂ - y₁) / (x₂ - x₁ )

Slope m = ( 0 - (-4) ) / (1 - (-1) )

Slope m = ( 0 + 4) ) / (1 + 1) )

Slope m = 4 / 2

Slope m = 2

Next, we find the y-intercept b, using a slope m = 2 and a point ( -1, -4 ).

y = mx + b

-4 = 2(-1) + b

-4 = -2 + b

b = -4 + 2

y-intercept b = -2

Now that we have the slope m and y-intercept b, plug the values into to y = mx + b to determine the equation of line.

y = mx + b

y = 2x + (-2)

y = 2x - 2

Therefore, the equation of the linear function is y = 2x - 2.

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The distance between the starting point and the second obstacle is 13 meters.

And the total length of one lap is equal to the perimeter of the triangle, which measures 30 meters.

We can see that this distance is equal to the hypotenuse of the triangle on the image.

The two legs measure:

5 meters and 12 meters.

Then using the Pythagorean theorem we can write:

d^2 = 5^2 + 12^2

d = √(5^2 + 12^2) = 13

So the distance between the starting point and obstacle 2 is 13 meters.

b) This will be the perimeter of the triangle, it is:

P = 13 m + 12m + 5m = 30m

One full lap has a length of 30 meters.

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The number positioned at point A is -4.25.

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.

This ultimately implies that, a number line can be used to compare two numbers such as 4 and 1. Also, a number line typically increases in numerical value towards the right and decreases in numerical value towards the left.

In this scenario, the given number line uses a scale of 1:0.25. Therefore, the number (numerical value) that is placed at point A is given by:

Point A = -4.5 - 0.25

Point A = -4.25.

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A. In the given question, we know that the Club washed cars and vans. They charge $5 for cars and $7 for vans. They earned a total of $243. Also, they washed a total of 45 vehicles. We have to find out the Equations for the Linear system

Let, the Number of Cars = 'c', and the Number of Vans = 'v', then the equation representing the total number of vehicles will be:

=> v + c = 45          => Equation (1)

Now, if the cost of washing 1 car is $5 and the van is $7 then,

Cost of washing 'c' car: 5c

Cost of washing 'v' van: 7v

then the equation representing total Earning will be:

=> 7v + 5c = 243          => Equation (2)

B. Now, we have to calculate the system of Linear equations to find out the number of cars and vans.

by equation (1) we get:

=> v + c = 45

=> v = 45 - c               => Equation (3)

Putting this value in Equation(2) we get:

=> 7(45-c) + 5c = 243

=> 315 - 7c + 5c = 243

=> 2c = 72

=> c = 36

Put this value of c = 36 in Equation (3), and we get:

=> v = 45 - 36

=> v = 9

Hence, the system of equations is v + c = 45, and 7v + 5c = 243 and the number of Cars washed is 36 and vans is 9

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The the coordinates of the other endpoint of a line segment with an endpoint of (-1,8) and a midpoint of (5, 2) is ( 11,-4 ).

A midpoint is simply a point that divides a line segment into two equal halves.

The midpoint formula is expressed as;

M = ( (x₁+x₂)/2, (y₁+y₂)/2

Given the data in the question;

Midpoint (5,2)

Endpoint 1 ( -1,8)

Endpoint 2 ( x₂,y₂)

To determine the coordinate of endpoint 2, plug the given points into the midpoint formula above and solve for x₂ and y₂.

First, we get the x-coordinate.

x = (x₁+x₂)/2

5 = ( -1 + x₂ )/2

( -1 + x₂ ) = 5 × 2

( -1 + x₂ ) = 10

x₂ = 10 + 1

x₂ = 11

Next, we get the y-coordinate

2 = ( 8 +y₂ )/2

8 +y₂ = 2 × 2

8 + y₂ = 4

y₂ = 4 - 8

y₂ = -4

Therefore, the coordinates of the other endpoint is ( 11,-4).

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The percent error for the batteries is 20%

Estimated defective batteries as per Saif = 12 batteries

Actual defective batteries = 10

Percent error is given by the formula:

Percent error = (E-T/E)*100

where E is the experimental value and T is the theoretical value

Substituting the values in the formula we get:

= (12-10/12)*100

= 20%

The difference between an approximate or measured value and an exact or known value is expressed as a percentage error, also known as a % error. In science, it is used to document the discrepancy between a real or accurate value and a measured or experimental value.

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Answer:

33 square meters per hour

Step-by-step explanation:

The inequality that show the amount of water that each member uses is 7x + 5785.23 ≤ 11375.50.

1) Place all terms of the inequality on the same side.

2) Replace the sign of inequality with the sign of equality.

3) Solve the equation, that is, find its root.

4) Study the sign of the equation, identifying the values ​​of x that represent the solution of the inequality.

Let x represent the amount of water each member uses monthly. The Wilson family is a family of 7 people. They have used 5,785.23 gallons of water and cannot exceed 11,375.50 gallons per month. Hence:

7x + 5785.23 ≤ 11375.50

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I hope this helps

The image is (−8,−1). See explanation.

Explanation:

To find an image of P(x,y) in translation Ta,b you add a and b to x and ycoordinates respectively, so the image is:

Ta,b(x,y)=(x+a,y+b)

Here we can write that:

T−3,−2(−5,1)=(−5−3,1−2)=(−8,−1)

The accuracy thresholds that apply when a number has been rounded or shortened are known as error intervals. In other words, they represent the range of values that a number may have taken had it not been rounded off or truncated.

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Answer:

There are 240 blue beads and 300 total beads.

Step-by-step explanation:

We know that 60 beads are red, and that represents 1/5 of the total beads. To get the total number, multiply 60 by 5 to get 300. To find the number of blue beads, which we know is 4/5 of the total, we multiply 300 (total) by 4/5 (or .8) and get 240 beads.

1) At x = -2, 0, and 5, the solutions are; f(-2) = -2, f(0) = 1 and f(5) = 8.5

2) At x = -2, 0, and 5, the solutions are; g(-2) = 18, g(0) = 13, g(5) = -2

3) At x = -2, 0, and 5, the solutions are; h(-2) = -3, h(0) = -5 and h(5) = -10

We want to evaluate each of the given functions when  x = -2, 0, and 5.

1) f(x) = 1.5x + 1

At x = -2, we plug in -2 for x in the linear equation to get;

f(-2) = 1.5(-2) + 1

f(-2) = -2

At x = 0, we plug in 0 for x in the linear equation to get;

f(0) = 1.5(0) + 1

f(0) = 1

At x = 5, we plug in 5 for x in the linear equation to get;

f(5) = 1.5(5) + 1

f(5) = 8.5

2) g(x) = 11 - 3x + 2 = 13 - 3x

At x = -2, we plug in -2 for x in the linear equation to get;

g(-2) = 13 - 3(-2)

g(-2) = 18

At x = 0, we plug in 0 for x in the linear equation to get;

g(0) = 13 - 3(0)

g(0) = 13

At x = 5, we plug in 5 for x in the linear equation to get;

g(5) = 13 - 3(5)

g(5) = -2

3) h(x) = -3 - x - 2 = -5 - x

At x = -2, we plug in -2 for x in the linear equation to get;

h(-2) =  -5 - (-2)

h(-2) = -3

At x = 0, we plug in 0 for x in the linear equation to get;

h(0) =  -5 - 0

h(0) = -5

At x = 5, we plug in 5 for x in the linear equation to get;

h(5) =  -5 - 5

h(5) = -10

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