Determine the slope of the line that has the following coordinates: (-2, 7) (3 , 3)

Your smallest angle is 26°

Angles in a triangle add up to 180°. This means:

Angle1 + Angle2 + Angle3 = 180°

The second angle of a triangle is 3 times as large as the first.

Angle2 = 3 * Angle1

The third angle is 50° more than the first.

Angle3 = Angle1 + 50°

Substitute these into the first formula, in terms of Angle1.

Angle1 + (3 * Angle1) + (Angle1 + 50°) = 180°

Expand and simplify.

5 * Angle1 + 50° = 180°

Put it into the formula Ax = B. You will have all the variables on one side and the integers on the other.

5 * Angle1 + 50° = 180°

5 * Angle1 + 50° - 50° = 180° - 50°

5 * Angle1 = 130°

Put it into the formula x = b. Solve to find 1 of the variable.

5 * Angle1 = 130°

5 * Angle1 / 5 = 130° / 5

Angle1 = 26°

Check this is right by substituting into the given formulas.

Angle2 = 3 * Angle1

Angle2 = 3 * 26

78 = 3 * 26

Angle3 = Angle1 + 50°

Angle3 = 26 + 50°

76 = 26 + 50°

Angle1 + Angle2 + Angle3 = 180°

26 + 78 + 76 = 180°

The smallest angle of the triangle is 26 degrees.

The question is referring to a triangle, and the sum of the angles in a triangle is always 180°. Let's denote the first angle as 'x'. According to the question, the second angle is 3x and the third angle is x + 50°. Therefore, we set up the equation x + 3x + x + 50 = 180. This simplifies to 5x + 50 = 180. After subtracting 50 on both sides of the equation, we get 5x = 130, and hence, x = 130 / 5 = 26. Therefore, the smallest angle is 26°.

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Answer:

80°

Step-by-step explanation:

We know the measure of ∠CAB.  This is an inscribed angle; this means its measure is 1/2 that of the intercepted arc, BC.  This means the measure of BC is 100°.

This makes the measure of arc BAC is 360-100 = 260°.

The measure of the angle formed by the tangents, since it is outside the circle, will be 1/2 of the difference of the intercepted arcs.  This means the measure of this angle will be

1/2(260-100) = 1/2(160) = 80°

Based on the information given, it should be noted that the angle between the tangents to the circle at points B and C will be 80°.

It should be noted that the angle between the tangents to the circle at points B and C will therefore be calculated thus:

= 1/2(260-100)

= 1/2(160)

= 80°

In conclusion, the correct option is 80°.

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Answer:

I believe it's P- 3250 (2.5) t

Step-by-step explanation:

If the framework is k= yx, P is the population total. 3250 is the number after 200 and 2.5t is the rate it increases by 2.5% every year, t

Answer:

Option D. [tex]40\°[/tex]

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

so

[tex]m<QPS=\frac{1}{2}(minor\ arc\ QS)[/tex]

we have

[tex]m<QPS=20\°[/tex] ----> given problem

substitute

[tex]20\°=\frac{1}{2}(minor\ arc\ QS)[/tex]

[tex]40\°=(minor\ arc\ QS)[/tex]

Rewrite

[tex]minor\ arc\ QS=40\°[/tex]

Answer:

17

Step-by-step explanation:

given

2f + 4f + 2 - 3 ← simplify by collecting like terms

= 6f - 1 ← substitute f = 3 into the expression

= (6 × 3) - 1 = 18 - 1 = 17

Answer:

17

2(f) + 4(f) + 2 - 3        |         (f) = 3

2(3) + 4(f) + 2 - 3

(6 +  12) + (2 - 3)

(18) - (1)

Step-by-step explanation:

Answer:

Mean: 4, Median: 4, Mode: 4, Range: 5

Step-by-step explanation:

First Put the numbers in order from least to greatest:

2, 2.5, 3.1, 3.7, 4.3, 4.3, 5.1, 7

MEAN: The mean of a group of numbers is the the average so we'll add up all the numbers then divide them by the amount of numbers total. In this case: the um of all the numbers is 32. We are going to now dived 32 by 8, because there are 8 numbers. Using my multiplication facts, I know that 8*4 equals 32, therefore, 32/8 equals 4. So your mean is 4

MEDIAN: Your median is the middle number. This is why it was helpful to put the numbers in alphabetical order. In this one, you will cross off numbers from each end to find the one in the middle. Here is where it would be good to  have a piece of paper and a pencil to cross out the numbers as you go. If you don't have paper, you can use your fingers, which is what I did. Take your finger and put it in front of the end numbers and from there keep going until you have a final middle number. In this case, there are 2 numbers in the middle, so you take the average of those 2 numbers. The two numbers in this problem are 3.7 and 4.3. You ad those together, and you get 8, now you divide 8 by 2 because you have 2 numbers. 8/2 is 4. So your median is 4.

MODE: is the easiest. It's simply the number that appears the most times in the sequence of numbers. so the mode here is 4.3.  

RANGE: Range is the difference between the number with the highest value and the number with the lowest value. The highest value is 7 and the lowest is 2. 7-2 equals 5. So your range is 5

I hope this was helpful!

To calculate the mean, add all numbers together and divide by the count: the mean is 4. Order the numbers to find the median, which is the average of the two middle numbers: the median is also 4. The mode is the most frequent number: in this case, 4.3. Lastly, the range is the difference between the largest and smallest numbers: the range is 5.

To find the mean, median, mode, and range of the given set of numbers (5.1, 3.7, 3.1, 4.3, 7, 2, 4.3, 2.5), let's calculate each one step-by-step.

Mean: Add up all the numbers and divide by the total count:

Mean = (5.1 + 3.7 + 3.1 + 4.3 + 7 + 2 + 4.3 + 2.5) / 8

Mean = 32 / 8 = 4. The mean is 4.

Median: Order the numbers from least to greatest and find the middle number. If there is an even number of data points, take the average of the two middle numbers: 2, 2.5, 3.1, 3.7, 4.3, 4.3, 5.1, 7.

Median is (3.7 + 4.3) / 2 = 4.

Mode: The number that appears most often. In this set, 4.3 appears twice, so the mode is 4.3.

Range: Subtract the smallest number from the largest number in the set: 7 - 2 = 5. The range is 5.

Therefore, the mean is 4, the median is 4, the mode is 4.3, and the range is 5.

Answer:

1/14

Step-by-step explanation:

There are 9 + 4 + 1 people to choose from. Total = 14

There is a 1/14 probability that she will be choosen.

Answer:1/12

Step-by-step explanation:

Answer:d

Step-by-step explanation:because of you add 500 and 3%

Answer:

D) coordinates of its reflection image is ( -3 , 2) .

Step-by-step explanation:

Given : S ( 3 ,2)  If point S is reflected across the y-axis,

To find : what are the coordinates of its reflection image.  

Solution : We have given S ( 3 ,2).

By the reflection rule over y -axis : (x ,y) →→ ( -x , y) .

Then x = 3 , y = 2

Then coordinates of its reflection image is

(3 , 2 ) →→ ( -3 , 2) .

Therefore,  D) coordinates of its reflection image is ( -3 , 2) .

Answer:

No

Step-by-step explanation:

No, because think of 9, its not divisible by two and for the second one yes, a perfect square always has a positive and negative

V=1728m³

Hope this answer helps!!

Answer:

[tex]\frac{21}{8}[/tex]

Step-by-step explanation:

Given: [tex]3\frac{1}{8} - \frac{1}{2}[/tex]

Let's changed that mixed number to an improper fraction. Now we get:

[tex]\frac{25}{8} - \frac{1}{2}[/tex]

Let's find out least common denominator. This one is easy, the LCD is 8. Now that we know the LCD, let's convert both our fractions:

[tex]\frac{25}{8} - \frac{4}{8}[/tex]

We can use [tex]\frac{4}{8}[/tex] because it is equal to [tex]\frac{1}{2}[/tex]. Now, all we need to do is subtract the numerators:

[tex]\frac{25}{8} - \frac{4}{8}=\frac{21}{8}[/tex]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

1, 16

2, 75

3, 28

4, 9

5, 48

6, 2

7, 24

Answer:

1.) 16 apples total

2.) 75 cupcakes

3.) $28

Step-by-step explanation:

1.) 5 bags = 2 apples 2*5 = 10 apples for 5 bags 6 from the pervious bags ->

10 +6 = 16 total apples

2.) 45 - 3 = 42 cupcakes.. then she makes 33 more, so add 42 + 33 = 75 cupcakes

3.) each bar is $4 -> 15 bars per box -> sold 7 bars.. she made $28

hope this helps!!

Answer: OPTION A

Step-by-step explanation:

To find the zeros of the quadratic equation given in the exercise, you need to apply the proccedure shown below:

- You must rewrite it as following:

[tex]2x^2+9x+4=0[/tex]

-You can apply the Quadratic formula, which is shown below:

[tex]x=\frac{-b\±\sqrt{b^2-4c}}{2a}[/tex]

In this case:

[tex]a=2\\b=9\\c=4[/tex]

- Therefore, when you substitute values, you obtain:

[tex]x=\frac{-9\±\sqrt{(9)^2-4(2)(4)}}{2(2)}[/tex]

[tex]x_1=-4\\\\x_2=-\frac{1}{2}[/tex]

The zeroes of the function y = 2x² + 9x + 4 is x = -1/2 and x = -4.

Given a function,

y = 2x² + 9x + 4

We have to find the zeroes of the function.

Zeroes of the function are the values of x or the input values when the values of y or the output values become 0.

Here the zeroes are the x values when y = 0.

Consider,

y = 2x² + 9x + 4

Let y = 0

2x² + 9x + 4 = 0

Using the quadratic formula,

Discriminant = √(9² - (4×2×4)) = √49 = 7

x values are,

x = (-9 ± 7) / 4

x = -1/2 and x = -4

Hence the correct option is A.

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Answer:

a)105

Step-by-step explanation:

first we plug in 12 for where the x is.

then we simplify the expression and get 105

~~bangtanboys7

When a cone is intersected by a plane containing the axis of rotation, an ellipse is formed as the cross-section in geometry.

When a cone is intersected by a plane containing the axis of rotation, an ellipse is formed as the cross-section. This is a key concept in geometry, where the intersection of a plane with a cone results in different types of curves known as conic sections.

Answer:

Step-by-step explanation:

If you are making $14.00 in an hour then in 1 day it will be $14.00 × 24 = $336.00 and in 1 month $336.00 × 12 = $4032.00

Answer:

a = ( 5 +/- sqrt(57) )/2

Step-by-step explanation:

Uh...well just multiply by a and move the 4, setting the equation to 0.

a, b, and c are 2, -5, -4

Plug that into the QuadF.

Answer:  [tex]\bold{\dfrac{5\pm \sqrt{57}}{4}}[/tex]

Step-by-step explanation:[tex]2a-5=\dfrac{4}{a}\\\\\text{Multiply by the LCD (a) to clear the denominator:}\\\\\\2a(a)-5(a)=\dfrac{4}{a}(a)\\\\2a^2-5a=4\\\\2a^2-5a-4=0\quad \rightarrow \quad a=2,\ b=-5,\ c=-4\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-5)\pm \sqrt{(-5)^2-4(2)(-4)}}{2(2)}\\\\\\.\ =\dfrac{5\pm \sqrt{25+32}}{4}\\\\\\.\ =\dfrac{5\pm \sqrt{57}}{4}[/tex]

Answer: C. (-7x+9)(x-2)

Step-by-step explanation:

1. Factor out the negative sign.

−(7x^2+5x−18)

2. Split the second term in 7x2+5x−18 into two terms.

−(7x^​2​​+14x−9x−18)

3, Factor out common terms in the first two terms, then in the last two terms.

−(7x(x+2)−9(x+2))

4.  Factor out the common term x+2x+2x+2.

−(x+2)(7x−9) or (-7x+9)(x-2)

The correct factorization of the trinomial [tex]-7x^{2} - 5x + 18[/tex] is Option (B) [tex]-1(7x - 9)(x + 2)[/tex]

The given expression is - [tex]-7x^{2} - 5x + 18[/tex]

Factorizing the given expression -

=  [tex]-7x^{2} - 5x + 18[/tex]

=  [tex]-(7x^{2} + 5x - 18)[/tex]

=  [tex]-(7x^{2} + 14x - 9x - 18)[/tex]

=  [tex]-[7x(x + 2) - 9(x + 2)][/tex]

=  [tex]-1(7x - 9)(x + 2)[/tex]

Thus the factorization of the equation is Option (B) [tex]-1(7x - 9)(x + 2)[/tex]

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Answer:

489 to the nearest foot.

Step-by-step explanation:

y = -2.58x + 566.67

x = 30:

y = -2.58*30 + 566.67

= 489 to nearest foot.

Answer:

A 30 year old driver can see 489.27 feet

Step-by-step explanation:

The equation yˆ=−2.58x+566.67 models the distance a driver can see in feet, where x is the age of the driver in years.

WE need to find out the height when x is 30

Plug in 30 for x  and find out y

y=−2.58x+566.67

Replace x with 30

y=−2.58(30)+566.67 = 489.27

A 30 year old driver can see 489.27 feet

Answer:

Four less a number

Step-by-step explanation:

x-4 is literally subtracting 4 and 4 less a number is basically also subtracting 4 from an equation.

Answer:

Step-by-step explanation:

The sentence that represents better the given expression is "The difference of a number and 4".

Mainly because states the difference in the right order, first the unknown number, which is called "a number", and in second place the number 4, referring to the difference is the subtract of 4 units from the number, not in the opposite way.

On the other hand, "a number less than 4" specifies that the unknown number is minor than 4, which is not true. "the sum of a number and 4" is completely wrong, because there's no sum at all. "Four less a number" refers to a difference but in the opposite way 4-x.

Therefore, the right answer is

Answer:

8in

Step-by-step explanation:

input (D) which is 7 days to find the height

h(d) = 3/7d +5

h = 3/7(7) + 5

h = 3+5

h=8

Answer:

8in

Step-by-step explanation:

The height of her plant can be expressed by the following function where d represents the number of days the plant has been growing and h(d) Represents the height in inches. h(d)= 3/7d + 5.

In simple terms, an adjacent angle shares a common vertex and one side with the given angle. From the choices given, Angle BGE is adjacent to Angle BGC since it shares the vertex G and side BG.

In geometry, an adjacent angle shares a common vertex and a common side but do not overlap. If we consider the Angle BGC, the angle that shares its vertex at G and one of its sides (the side GB or GC) would be the adjacent angle. Based on the options provided and the definition of adjacent angles, the angle adjacent to Angle BGC would be Angle BGE as it fulfills the criteria of sharing a common vertex (G) and a side (BG) with Angle BGC.

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Answer:

180

Step-by-step explanation:

We can use the central angle theorem to understand this problem.

The Central Angle Theorem states that the inscribed angle that fall on the opposite side of the circumference is half of the arc subtended by it.

The angle that is on the opposite side of the circumference is a right angle and thus it measures 90°. This is half of the arc labeled x. So x is twice that of 90.

So, x = 180 degrees

Answer:

180°

Step-by-step explanation:

The angle subtended by the arc is calculated as follows. The angle made at the center by an arc is twice the angle subtended at the circumference.

In the figure the angle subtended at the circumference by the arc is a right angle, that is, 90°  thus the angle that subtends the arc is 2×90=180°

The expression 'x squared minus 9' represents a difference of two squares. It can be factored using the rule a² - b² = (a - b)(a + b), resulting in (x - 3)(x + 3).

The expression x squared minus 9 is a difference of two squares, which can be factored into two binomials. The general rule for factoring a difference of squares is that a² - b² = (a - b)(a + b). Therefore, x² - 9 can be factored as (x - 3)(x + 3). Here, 'x' is the square root of 'x²' and '3' is the square root of '9'. Thus,

x² - 9 = (x - 3)(x + 3).

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The expression 'x squared minus 9' is factored as (x - 3)(x + 3) using the difference of squares rule in algebra.

Factoring the expression x squared minus 9 is an application of a rule in algebra known as the difference of squares. The difference of squares rule states that for any two terms a and b, the difference of their squares can be factored as (a - b)(a + b). Apply this rule to the given expression x squared minus 9

by considering 'x' as 'a' and '3' as 'b' (since 3 squared is 9), we get (x - 3)(x + 3) as the result. So, x squared minus 9 factors into (x - 3)(x + 3).

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the parallelogram in the image is a rectangle. There are two ways to tell this from the information given: The diagonals of a rectangle bisect each other, but the diagonals in the image do not bisect each other. The opposite sides of a rectangle are congruent, and the sides of the parallelogram in the image appear to be congruent.

The diagonals are perpendicular. In the image, one of the answer choices states that the diagonals are perpendicular, and this is the key giveaway. Diagonals of a rectangle are always perpendicular, so if a parallelogram has perpendicular diagonals, it must be a rectangle.

The diagonals are congruent. Another answer choice states that the diagonals are congruent. While this is also true for rectangles, it is not true for all parallelograms. So, while not all parallelograms with congruent diagonals are rectangles, all rectangles do have congruent diagonals.

Therefore, based on the information given in the image, we can conclude that the parallelogram is a rectangle.

Here are some additional properties of rectangles that you may find helpful:

Opposite sides of a rectangle are equal and parallel.

Opposite angles of a rectangle are equal.

All angles of a rectangle are right angles.

The diagonals of a rectangle bisect each other.

ANSWER

[tex](3x - 2)(x + 4)[/tex]

EXPLANATION

The given quadratic trinomial is

[tex]3 {x}^{2} + 10x - 8[/tex]

Comparing to the general quadratic trinomial:

[tex]a{x}^{2} + bx + c[/tex]

We have a=1, b=10 and c=-8

[tex]ac = 3 \times - 8 = - 24[/tex]

The factors of -24 that adds up to 10 are -2 and 12.

We split the middle term to obtain;

[tex]3 {x}^{2} + 12x - 2x- 8[/tex]

Factor;

[tex]3x(x+ 4) - 2(x + 4)[/tex]

Factor further;

[tex](3x - 2)(x + 4)[/tex]

The last option is correct.

The point (1, 4) is on the graph of the function f(x)=4x.

To find a point on the graph, we can choose any value for x and compute the corresponding y-value using the function's formula.

For example, if x = 1, then f(1) = 4(1) = 4, so one point on the graph is (1, 4).

The point (1, 4) fulfills the dependence of y on x represented by the function f(x).

Answer:

$14.21

Step-by-step explanation:

To find 25% of 18.95, you can multiply 18.95×0.25, which approximately equals $4.74. Then subtract $4.74 from $18.95 to get $14.21

Answer:

$14.2125

Step-by-step explanation:

We have been given that the original cost of a lamp is $18.95. The lamp is on sale for 25% off.

Since the lamp is on a 25% sale, then the cost of the lamp would be 75% (100%-25%) of the original price.

[tex]\text{Cost of lamp after sale}=\$18.95\times \frac{75}{100}[/tex]

[tex]\text{Cost of lamp after sale}=\$18.95\times 0.75[/tex]

[tex]\text{Cost of lamp after sale}=\$14.2125[/tex]

Therefore, you will have to pay $14.2125 for the lamp.

Answer:

The value of y = 70°

Step-by-step explanation:

∵ The measure of the major arc = 160 + 60 = 220°

∵ The measure of the circle is 360°

∴ The measure of the minor arc = 360 - 220 = 140°

∵ y is the angle between a chord and a tangent

∵ The chord subtended by the arc of measure 140°

∵ y is subtended by the arc of measure 140°

∵ Angle of tangent subtended by an arc,

  its measure = half the measure of the subtended arc

∴ The measure of y = 1/2 the measure of the subtended arc

∴ y = 1/2 × 140 = 70°

Answer:

70

Step-by-step explanation: