Do all these angles equal 360 degrees?

Answer:

x + x+1 + x+2 + x+3 + x+4 + x+5 + x+6 =217

7x+21=217

7x=196

x=28

Middle Number will be:

x+3

28+3

=31

Therefore, the middle number is 31.

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

Let's put this into equation form.

n + (n + 1) + (n+2) + (n+3) + (n+4) + (n + 5) + (n+6) = 217

Each number is increasingly getting farther away from n (the first number) by 1.

If we simplify, by adding all of the numbers and the n's. We get:

7n + 21 = 217

Let's subtract 21 from both sides to start the process of isolating x.

7n = 196

Now we can divide both sides by 7, to isolate x.

n = 28.

That looks like the answer, but it is not. Remember n is the first number, we want the middle, which out of 7 is the 4th number.

The 4th number is equal to (n+3) or (28 + 3)

The 4th number is 31.

Let's check if this is correct.

28 + 29 + 30 + 31 + 32 + 33 + 34 = 217.

The problem is complete.

Considering the given quadratic function, it is found that it will take 4.05 seconds for the frog to land on the ground.

A quadratic function is given according to the following rule:

[tex]y = ax^2 + bx + c[/tex]

The solutions are:

In which:

[tex]\Delta = b^2 - 4ac[/tex]

The height after t seconds is given by:

h(t) = -16t² + 64t + 3.

it hits the ground when h(t) = 0, hence:

-16t² + 64t + 3 = 0

16t² - 64t - 3 = 0.

The coefficients are a = 16, b = -64, c = -3, hence:

Time has to be positive, hence the frog lands on the ground after 4.05 seconds.

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Answer:

(i) -34° C.
(ii) The temperature had fallen by 11° C.

Step-by-step explanation:

(i) As it's a negative number its like we are adding it so 23 + 11 = 34 and as it is a negative number it would be -23 - 11 = -34 which makes it -34° C.

(ii) We know that the temperature now is -45° C, we need to find out how much the temperature had fallen in the 4 hours which had passed. So what we do is essentially add it considering its a negative number so we add -34 by 11 which equals -45. We do this so we can find out how much the temperature had dropped within the 4 hours and as we know that we needed to add 11 to the previous temperature (-34° C) it means that the temperature has dropped by 11° C.

Answer:

the anwer is x= -3

Step-by-step explanation:

(3+5)=2

Answer:

1/27

Step-by-step explanation:

To find the probability of a defective jelly bean

P(defective) = number defective/ total

                     =2/54

                      = 1/27

Using proportions, considering the given ratio, Isabella gets [tex]\frac{4}{7}[/tex] of the total reward.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The ratio of Isabella and Aiden is 4:3, which means that out of 4 + 3 = 7 items, Isabella gets 4 and Aiden gets 3, hence the fraction is given by:

[tex]\frac{4}{7}[/tex].

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Directed numbers are numbers that have either a positive or negative sign, which can be shown on a number line. Therefore, point F is Fifteen-halves of line segment DE.

A number line is a system that can show the positions of positive or negative numbers. It has its ends ranging from negative infinity to positive infinity. Thus any directed number can be located on the line.

Directed numbers are numbers with either a negative or positive sign, which shows their direction with respect to the number line.

In the given question, the distance between points D and E is 9 units. So that dividing 9 units in the ratio of 5 to 6, we have;

[tex]\frac{5}{6}[/tex] x 9   = [tex]\frac{45}{6}[/tex]

          = [tex]\frac{15}{2}[/tex]

Therefore, the location of point F, which partitions the directed line segment from d to E into a 5:6 ratio is    [tex]\frac{15}{2}[/tex]. Thus the answer is Fifteen-halves.

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Answer:

1/11

Step-by-step explanation:

Got it right on assignment

Suppose that a probability is approximated to be zero based on empirical results, this does not mean that the event is​ impossible.

The likelihood that an event will occur is defined by probability. There are many instances in real life where we may need to make predictions about how something will turn out. The outcome of an event may be known to us or unknown to us.

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

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The approximate solution to the given system of equations, considering the graph, is given as follows:

D. [tex]\left(-\frac{13}{4}, \frac{5}{2}\right)[/tex].

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

On a graph, the solution of a system of equations is given by the intersection between the curves. In this graph, the intersection of the two curves happen close to x = -3.25, y = 2.5, hence the solution is approximated by:

D. [tex]\left(-\frac{13}{4}, \frac{5}{2}\right)[/tex]

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Answer:

d

Step-by-step explanation:

The 98% confidence interval for the mean gas mileage for this car model is (26.07,30.73).

Confidence intervals are defined as a range of values with a known chance that a parameter's value falls inside them.

The confidence interval of statistical data is computed using the formula:

[tex](\overline{x} - Z\frac{\sigma }{n},\overline{x} + Z\frac{\sigma }{n})[/tex]

where [tex]\overline{x}[/tex] is the mean, Z is the Z-score corresponding to the confidence interval, σ is the standard deviation, and n is the sample size.

In the question, the sample size (n) = 36, the mean of the sample ([tex]\overline{x}[/tex]) = 28.4 mi/gallon, the standard deviation (σ) = 6 mi/gallon.

The confidence interval given to us is 98%.

Z-score corresponding to this (Z) = 2.33.

Thus, the confidence interval can be calculated as:

(28.4 - 2.33{6/√36},28.4 + 2.33{6/√36})

= (28.4 - 2.33,28.4 + 2.33)

= (26.07,30.73).

Thus, the 98% confidence interval for the mean gas mileage for this car model is (26.07,30.73).

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Repeat the following 12 times:

>            Move forward 5 cm

>            Turn clockwise 30°

Want to know how I found this out? Well, let me tell you.

First, they gave us the information that a 12-sided polygon is to be modeled with side lengths 5 cm. So, that basically gives us our first step. That was easy!

Well, now this is a bit harder. How many degrees do we move? There're so many possibilities! Well, not quite.

According to the Polygon Exterior Angle-Sum Property, the exterior angles of any polygon is always 360 degrees. So, we just divide 360 by how many sides there are in the polygon.

There are 12 sides in this polygon, so, [tex]\frac{360}{12}[/tex] is equal to 30 degrees per side. Well, now we have the second step! We're all done. Congratulations!

Answer:

This is a educated guess, but x is 80 and y is 100.

Step-by-step explanation:

My logic here is that the triangles are the same because of all the congruent lines and stuff. But from there, you know that both the right and the left side are 40 degrees. You know the total degree of a triangle is 180 so 180 - 40 - 40 is 100. So the final angle is 100. If you look at x, its on the outside, but on a line. If you can imagine a circle, its half, so its a 180 degrees total. Then its 180 = x + 100. So x is 80. And then by that same logic its y = 100.

Answer: F

Step-by-step explanation:

Bisectors of an angle split the angle in half which you can visually see from the image. So, the answer is F.

Answer:

24 people

Step-by-step explanation:

I pizza will feed 3 people

There are 8 pizza's

8 x 3 = 24

Answer:

z= [ 5] VI

that is my answer

Answer:

m∠C = 38°  (nearest whole number).

Step-by-step explanation:

To find the missing angle, use the Sine Rule.

Sine Rule (for angles)

[tex]\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

where:

Given:

To find m∠C, substitute the given values into the formula and solve for C:

[tex]\implies \sf \dfrac{\sin 53^{\circ}}{18}=\dfrac{\sin C}{14}[/tex]

[tex]\implies \sf \sin C= \dfrac{14 \sin 53^{\circ}}{18}[/tex]

[tex]\implies \sf C= \sin^{-1} \left( \dfrac{14 \sin 53^{\circ}}{18}\right)[/tex]

[tex]\implies \sf C= 38.40096301...^{\circ}[/tex]

Therefore, m∠C = 38°  (nearest whole number).

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The length of the rafter as detailed in the question is approximately; 22.80 yards

The formula for Pythagoras theorem is;

a² + b² = c²

where;

a and b are adjacent and opposite sides of the triangle formed

c is the hypotenuse

Now, a rafter is a sloped member of a roof structure. Thus, if the rafter is raised to a height of 18 yeards, it means that is the vertical height of the top of the rafter to the bottom of the kingpost.

Now, if half the length run is 14 yards, it means that half of the tie beams is 14 yards. Thus, from the base of the rafter to the center of the tie beams is 14 yards. Thus, we will use Pythagoras theorem to find the length of the rafter.

c = √(14² + 18²)

c = √520

c = 22.80 yards

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The reason why partitioning and fractioning are different is because; The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.

It follows from the task content that a close analysis of the statement of ratios; 1:3 implies that the whole is divided into four parts; 1+3 = 4.

On the contrary, one-third simply means 1 out of 3 equal parts of the line.

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Answer: OPTION C

Step-by-step explanation:

Answer: 3.8395025e+12

Lol

3839502493910

Step-by-step explanation:

you will multiple the 6 and the 7 digits and the other digits

Answer:

There could be 0, 2, or 4 complex solutions

Step-by-step explanation:

The Fundamental Theorem of Algebra states that any polynomial with n degree will have n solutions So since the degree of the polynomial you provided has a degree of 4, that means there are 4 possible solutions. This question specifically asks for complex zeroes. Complex zeroes come in conjugate pairs, so that means if you have one complex zero, there is another complex zero which is it's conjugate. For this reason, there can only be an even number of complex zeroes. And since there's 4 possible solutions, There could be 0, 2, or 4 complex solutions

Based on the inscribed angle theorem, the value of x is: 126°.

The inscribed angle theorem states that, the measure of inscribed angle (63 degrees) equals half of the measure of central angle (x).

Thus, we would have:

63 = 1/2(x)

2(63) = x

126 = x

x = 126°

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The angle is the cosine inverse function because base over hypotenuse. Then the angle will be 37°.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The triangle with base of 4 units and hypotenuse of 5 units.

We know that the angle is given by the cosine inverse function because base over hypotenuse. Then we have

⇒ cos⁻¹ (4/5)

Then the angle will be

⇒ 36.869 ≈ 37°

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Answer:

B. 1

Step-by-step explanation:

Please see attachment.

Hope this helps!

If not, I am sorry.

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

The general equation of a parabola is: y-k = a(x-h)²

(h, k) - Coordinates of the vertex.

a - Vertex constant

Here:

(h, k) = (3, 1) and (x, y) = (0, 7).

So,

7 - 1 = C · (0 - 3)²

6 = 9 · C

C = 2/3

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Her grade on a fourth test is 75.

The average of e for the four tests is 84.

By substituting the given data in the equation, we get

Let the fourth test marks be x

83 + 90 + 88 + x / 4 = 84

261 + x / 4 = 84

261 + x = 336

x = 336 - 261

x = 75

An average may be described as the sum of all numbers divided by means of the whole quantity of values.

A mean can be defined as an average of the set of values in a sample of data. In different words, a median is also called the mathematics mean.

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Answer:

the answer is 8/10

Step-by-step explanation:

The reason is that both of the denominators are the same so that you can add the two numerators and then get the answer.

Answer: Likely May through August 2023

Step-by-step explanation: It really depends on the college.

The polynomial function with real coefficients of a least possible degree having zero 2 of multiplicity 2, and zero i of single multiplicity is                   x⁴ - 4x³ + 5x²- 4x + 4 = 0. This can be obtained by finding factors and multiplying them.  

Given that zeroes, 2 of multiplicity 2, and i of single multiplicity, that is,       (x - 2), (x - i) and (x + i) are the factors of the polynomial.

Thus the polynomial can be written as  

(x - 2)²(x - i)(x + i) = 0 ((x - 2) is squared as multiplicity is 2)

(x² - 4x + 4)(x²-i²) = 0

(x² - 4x + 4)(x²+1) = 0

x⁴ - 4x³ + 4x² + x² - 4x + 4 = 0

⇒ x⁴ - 4x³ + 5x²- 4x + 4 = 0

Hence the polynomial function with real coefficients of a least possible degree having zero 2 of multiplicity 2, and zero i of single multiplicity is                   x⁴ - 4x³ + 5x²- 4x + 4 = 0.

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Answer:

Step-by-step explanation:

A squared garden has area 1764m2. Find its length and perimeter?​

Area = l²

l = √Area

√1764 = 42 m

42 * 4 = 168 m

Answer:

length=42m

perimeter=168m

Step-by-step explanation:

Area=L^2

L^2=1764

L=√1764

L=42m

Perimeter=42+42+42+42 which equals to 168m

Answer:

(d)  60°

Step-by-step explanation:

Theorems

Therefore, the exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle.

⇒ (a + 20) + (a + 10) = (a + 90)

⇒ a + 20 + a + 10 = a + 90

⇒ 2a + 30 = a + 90

⇒ 2a + 30 - a = a + 90 - a

⇒ a + 30 = 90

⇒ a + 30 - 30 = 90 - 30

⇒ a = 60

Answer:

a = 60

Step-by-step explanation:

→ Find the sum of all the angles

2a + 30 + 90 - a = 180

→ Collect the a terms

a + 120 = 180

→ Find a

a = 60