How many degrees do the angles of a triangle contain?

Answer:

28, 50, 51, 18, 31, 34, 56, 39, 60

Step-by-step explanation:

big math

Answer:

11 1/2   or    23/2

Step-by-step explanation:

K = 10 + 3/2 = 10 + 1 + 1/2

Answer:

3,125

Step-by-step explanation:

25 out of 200 is 12.5%

and 12.5% of 25,000 is 3,125

(I'm not sure)

-19.99; The line of best fit underpredicts the student's science test score.

So correct option is A.

A prediction is an estimation or forecast about future events or conditions, based on past data and trends, current information, and/or mathematical models. Predictions can be made in various fields, such as finance, weather, sports, social sciences, and natural sciences. The accuracy of predictions depends on many factors, including the quality of the data used, the assumptions made, the complexity of the system being analyzed, and the reliability of the methods used. Predictions are not always accurate and are often subject to revision as new information becomes available.

The predicted science score for the student with IQ 100 can be calculated using the line of best fit:

ŷ = −20.3 + 0.7489 * 100 = 71.59

The residual is the difference between the actual science test score and the predicted science score:

residual = actual score - predicted score = 52.6 - 71.59 = -19.99

So the line of best fit underpredicts the student's science test score by 19.99 points.

Therefore, the residual is:

-19.99; The line of best fit underpredicts the student's science test score.

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Answer:

Slope (x) = 1, y-intercept (b) = 4

Step-by-step explanation:

\(x+y=4\)

\(y=x+4\)

(written in y = mx + b form)

Answer:

\(3^{-4}\)

Step-by-step explanation:

\(3^5\cdot \:3^{-9}=3^{5-9}=3^{-4}\)

Answer:

40

Step-by-step explanation:

Answer: 74

Step-by-step explanation:

It’s an isosceles triangle so both angles are equal so if one angle is 32. Do 180-32 then divide your answer by 2 =74

put the equation equal to each other

3x - 5 = -2x + 10

solve

3x = -2x + 15

5x = 15

x = 3

plug x = 3 back in to the equation (either one works - should provide the same answer)

-2(3) + 10

-6 + 10 = 4

they intercept at (3,4)

Answer:

x = 3, y = 4

Step-by-step explanation:

Note that each equation is equal to the variable y. Set the equations equal to each other:

y = -2x + 10

y = 3x - 5

-2x + 10 = y = 3x - 5 ; -2x + 10 = 3x - 5

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, isolate the variable, x. Subtract 3x and 10 from both sides of the equation:

-2x + 10 = 3x - 5

-2x (-3x) + 10 (-10) = 3x (-3x) - 5 (-10)

-2x - 3x = -5 - 10

-5x = -15

Next, divide -5 from both sides of the equation:

(-5x)/-5 = (-15)/-5

x = -15/-5

x = 3

Next, plug in 3 for x in one of the equations. We will use y = 3x - 5:

y = 3x - 5

x = 3

y = 3(3) - 5

First, multiply, then subtract:

y = (3 * 3) - 5

y = 9 - 5

y = 4

x = 3, y = 4  is your answer.

~

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After considering the given data we conclude that the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).

We have to evaluate the center and angle of rotation to explain the clockwise rotation of the line segment.

So in the first step, we can evaluate the midpoint of the line segment JK and the midpoint of the line segment J'K'. we can calculate the vector connecting the midpoint of JK to the midpoint of J'K'. This vector is (4-1, 1-(-4) = (3,5)

The center of rotation is the point that is equidistant from the midpoints of JK and J'K'. We can evaluate this point by finding the perpendicular bisector of the line segment connecting the midpoints.

The slope of this line is the negative reciprocal of the slope of the vector we just found, which is -3/5. We can apply the midpoint formula and the point-slope formula to evaluate the equation of the perpendicular bisector:

Midpoint of JK: (1, -4)

Midpoint of J'K': (4, 1)

The slope of the vector: 3/5

(x₁ + x₂)/2, (y₁ + y₂) /2

Point-slope formula: y - y₁ = m(x - x₁)

Perpendicular bisector: y - (-4) = (- 3/5)(x - 1)

Applying simplification , we get: y = (- 3/5)x - 1.2

To evaluate the center of rotation, we need to find the intersection point of the perpendicular bisector and the line passing through the midpoints of JK and J'K'. This line has slope ( 3 - (4)) /(4 - 1) = 7/3 and passes through the point (4, 1). Applying the point-slope formula, we can evaluate its equation:

y - 1 = (7/3)( x - 4)

Apply simplification , we get: y = (7/3)x - 17/3

To evaluate the intersection point, we can solve the system of equations:

y =(- 3/5)x - 1.2 = (7/3)x - 17/3

Evaluating for x and y, we get x = -6 and y = -1.

Therefore, the center of rotation is (-6, -1).

√( 4 - 1)² + ( 1 - ( - 4))²) = 5√(2)

Distance between image points and center of rotation

√( ( 6 - (-6))² + ( 3 - (-1))² = 13

The ratio of these distances gives us the scale factor of the transformation, which is 13/√2).

The angle of rotation is negative as the image moves clockwise direction. We can apply the inverse tangent function to find the angle of the vector connecting the midpoint of JK to the midpoint of J'K':

Angle of vector: arctan(5/3) = 59.04 degrees

Therefore, the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).

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Answer:

t = p/w

Step-by-step explanation:

we have,

p=w×t

p/w = t (as the sign changes while going to the other side)

Answer:

Step-by-step explanation:

There is no question to help with? Maybe ask your teacher or computer guy.

Answer:

min: 56

lower quartile: 70

median: 74

upper quartile: 80

max: 86

A) 3:4

B) 4:7

C) 5:9

To solve this, we need to find the Greatest Common Divisor (GDC) of each pair of numbers.

For pair A)

Factors:

39 => 1, 3 13, 39

52 => 1, 2, 4, 13, 26, 52

The GCD is 13. Then divide both numbers by the GCD:

39/13 = 3

52/13 = 4

The SImplified ratio is 3:4

For B)

Factors:

44 => 1, 2, 4, 11, 22, 44

77 => 1, 7, 11, 77

Then divide by GCD, in this case, 11:

44/11 = 4

77/11 = 7

44:77 => 4:7

For c)

Factors:

45 => 1, 3, 5, 9, 15, 45

81 => 1, 3, 9, 27, 81

The GCD is 9. Then

45/9 = 5

81/9 = 9

The ratio is 45:81 => 5:9

To determine the value of x, you have to apply the angle addition postulate, which states that if you construct an angle by putting two angles together (so that they share one side and the vertex), the measure of this angle will be equal to the sum of the measures of the two original angles.

In this case, this means that the measure of ∠GFE is equal to the sum of ∠GFZ and ∠ZFE:

We know that

∠GFE= 5x+4

∠GFZ= 42º

∠ZFE= 3x+10

Then we can determine the following expression:

From this equation, we can determine the value of x,

-First, remove the parentheses and simplify the like terms:

-Second, pass "4" to the right side of the equation and "3x" to the left side of the equation by applying the opposite operation to both sides of it:

-Third, divide both sides of the equation by 2 to reach the value of x:

The value of x is 24.

The fourth vertex such that it forms a right angle with two adjacent vertices the correct answer is \((9, 3)\)  . Thus, option D is correct.

To create a rectangle, we need to find the fourth vertex such that it forms a right angle with two adjacent vertices. We can use the distance formula to determine the length of each side of the triangle formed by the three given vertices:

The distance between \((5, 6)\) and  \((9, 6)\) is \(4\) units.

The distance between \((5, 6)\) and \((5, 3)\)   is \(3\) units.

The distance between  \((9, 6)\) and  \((5, 3)\) is \(5\) units.

Since the two sides with length 4 units are adjacent and form a right angle, we know that the fourth vertex must be located 3 units below (9, 6) or 3 units above (5, 3). Therefore, the fourth vertex can be either (9, 3) or (5, 9).

However, only  \((9, 3)\) forms a rectangle with the three given vertices, as it is also 5 units away from   \((5, 6)\) and  \(4\) units away from (9, 6), forming a right angle with both.

Therefore, the correct answer is  \((9, 3)\).

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Answer:

-9

Hope this helps!

His total earnings for a total sale of 7,000​ could be 1450sh

From the question, we have the following parameters that can be used in our computation:

Salary = 400

Commission = 15%

using the above as a guide, we have the following:

Total earnings = 400 + 15% * Total sales

So, we have

Total earnings = 400 + 15% * 7000

Evaluate

Total earnings = 1450

Hence, the total earnings is 1450

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Question

Simon earned 400sh weekly for goods sold and a commission of 15%

What could be his earnings for a total sale of 7,000​.

Answer:

Thanks

Step-by-step explanation:

Thanks

To answer this question, we need to compare the ratios of miles traveled to gallons of gas used for car A and car B when they both use 1 gallon of gas.

For car A, we can see from the graph that 50 miles are traveled for every 2 gallons of gas used, or in other words, 25 miles are traveled for every 1 gallon of gas used. Therefore, car A can travel 25 times the distance for 1 gallon of gas.

For car B, we can see from the table that 40 miles are traveled for every 2 gallons of gas used, or in other words, 20 miles are traveled for every 1 gallon of gas used. Therefore, car B can travel 20 times the distance for 1 gallon of gas.

To compare the two ratios, we can divide the ratio of miles traveled to gallons of gas used for car A by the ratio for car B:

25/20 = 1.25

Therefore, car A can travel 1.25 times the distance car B can travel when both cars use 1 gallon of gas.

The change should Juan received = $4.18

Given that,

Juan's buy2 pencils

Sales tax = $0

Juan's school supplies would cost a total

= $5.82 ($0.24 x 2 for pencils + $1.37 for notebook + $2.97 for ruler), based on the pricing provided in the table.

Juan still owes $5.82 in total

Because there is no sales tax to be paid.

In order to give Juan change if he pays with a $10 bill,

The cashier would deduct $5.82 from the total.

Hence,

Juan should be given $4.18 in change.

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If we can translate the statement "The ice rink costs $200 plus $4 per person to rent for a birthday celebration and the entire cost of the rental is $324" into an algebraic equation, we get 4x + 200 = 324, where x is the number of people at the birthday party. The solution of this equation i.e. the number of people at the birthday party is 31.

A statement of the equivalence of two expressions created by executing algebraic operations on a set of variables, such as addition, subtraction, multiplication, division, raising to a power, and root extraction, is known as an algebraic equation.

Let the number of people at the birthday party be x.

Given that the ice rink costs $200 plus $4 per person to rent for a birthday celebration. So, the rent is 4x + 200.

Also, given that the entire cost of the rental is $324.

We can write the corresponding algebraic equation as

4x + 200 = 324

Now we have to solve this equation.

So, 4x = 324 - 200 = 124

i.e. x = 124/4 = 31

Therefore the required algebraic equation is 4x + 200 = 324, where x is the number of people at the birthday party. Also, the solution of this equation i.e. the number of people at the birthday party is 31.

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Candice grows beets on 66 acres of farmland.

A ratio indicates the number of times one number contains another.

Given that, Candice has 88 acres of farmland and she grows beets on 3/4 of the land.

Candice grows beets on 3/4 of 88 acres of farmland,

3/4 of 88

= 3/4×88

= 66

Hence, Candice grows beets on 66 acres of farmland.

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Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

To determine the average speed at which Sphenathi and the other matriculants must travel to reach Uptington by 09:45, we need to calculate the time available for the journey and the distance between the two locations.

The time available is from 07:25 to 09:45, which is a total of 2 hours and 20 minutes. We need to convert this time to hours by dividing by 60:

2 hours + 20 minutes / 60 = 2.33 hours

Now, let's calculate the distance between Bloemfontein and Uptington. Suppose the distance is 'd' kilometers.

We can use the formula for average speed: average speed = distance / time

In this case, the average speed should be such that the distance divided by the time is equal to the average speed.

d / 2.33 = average speed

Now, let's assume that Sphenathi and the other matriculants must travel a distance of 250 kilometers to reach Uptington. We'll substitute this value into the equation:

250 / 2.33 = average speed

To find the average speed to the nearest km/h, we'll calculate the result:

average speed ≈ 107.3 km/h

Therefore, Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

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Answer:

∠ BDC = 29°

Step-by-step explanation:

the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then

∠ BCD = ∠ BED = 61°

• the diagonals are perpendicular bisectors of each other , then

∠ CBD = 90°

the sum of the 3 angles in Δ BCD = 180°

∠ BDC + ∠ CBD + ∠ BCD = 180°

∠ BDC + 90° + 61° = 180°

∠ BDC + 151° = 180° ( subtract 151° from both sides )

∠ BDC = 29°

The total cost of the materials calculated by the worker on the notebook is $325.52

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

The total cost of materials = 7(43.75) + 2(4.69) + 9.89 = $325.52

The total cost of the materials calculated by the worker on the notebook is $325.52

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To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

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Answer:

1/3

Step-by-step explanation:

Divide the number of pencil packs by the number of students:

8 ÷ 24 = 1/3

So each student got 1/3 of a pack of pencils.