Which graph shows the solution to the system of linear inequalities? Edge.

x + 3y > 6

y ≥ 2x + 4

The answer will be 81.

Step-by-step explanation:

just multiple by 3

Answer:

81

Step-by-step explanation:

the people told secrion has a sequence of multiplyung by 3 if you continue the sequence you will get to 81

Yes, the triangles are congruent if AB ≅ DE.

Criteria for the Congruency of two Triangles

If two triangles share the same sides and angles, they are said to be congruent triangles.

Triangles are tested for congruence using the following 4 criteria:

1) Angle-side-angle(ASA): Two angles and a side of a triangle are congruent if they are equal to two angles and the corresponding side of another triangle.

2) Side-side-side(SSS): Two triangles make congruent triangles if all three sides of one triangle are equal to three sides of another.

3) Side angle side(SAS): A triangle is congruent if its two sides and any included angles are equivalent to those of another triangle's two sides and corresponding angle.

4) Hypotenuse - leg(HL): If a triangle's hypotenuse and one of its legs are equal, then the triangle's hypotenuse and leg are also equal.

Checking for Congruency in the Given Triangles

ΔDEF and ABC have a equal angles, ∠F=∠B, as well as a pair of equal sides,  DF = AC.

Thus, in order to satisfy the SAS criterion of congruent triangles, AB = DE

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Answer:

(D) no, because the hypotenuses must have different lengths

Step-by-step explanation:

Answer:

(h, k )

Step-by-step explanation:

given the standard form of an absolute function

f(x) = a| x - h | + k , then

vertex = (h, k )

The standard form of an absolute value function is f(x) = a|x - h| + k, where (h,k) is the vertex of the absolute value function.

The correct option is (h,k).

The term "function" refers to a relationship between a set of inputs and outputs. Just one output is connected to each input in a function, which connects inputs in that manner. Every function has a domain, co-domain, and range.

In general, the standard form of an absolute value function is given as:

f(x) = a |x - h| + k

where:

a is a non-negative constant that determines the shape and direction of the V-shaped graph of the absolute value function

h is the horizontal shift of the graph of the function from the origin (if h > 0, the graph shifts to the right; if h < 0, the graph shifts to the left)

k is the vertical shift of the graph of the function from the origin (if k > 0, the graph shifts up; if k < 0, the graph shifts down)

The vertex of the absolute value function is the point where the graph changes direction, that is, the point where the graph changes from sloping downwards to sloping upwards or vice versa.

Since the vertex is the point of the absolute value function where the graph changes direction, it lies at the center of the V-shaped graph. Thus, the vertex is located at the point (h,k).

Therefore, in the standard form f(x) = a |x - h| + k, (h,k) represents the coordinates of the vertex of the absolute value function.

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The output light frequency of the material used before doubling will be 0.056 Hz.

Frequency is defined as the number of repetitions of a wave occurring waves in 1 second.

Frequency is given by the formula as,

[tex]\rm v = \lambda \times f \\\\\ \rm f = \frac{v}{\lambda} \\\\ \rm f = \frac{3 \times 10^8}{532 \times 10^-9} \\\\ \rm f = 3 \times 10^{12} \\\\ f= 0.056 \ Hz[/tex]

Hence the output light frequency of the material used before doubling will be 0.056 Hz.

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Answer:

x = 90

Step-by-step explanation:

The other unlabled angle in the triangle forms a 180 degree angle with 130 degrees (because they make a straight line). So it can be found by subtracting 130 from 180, which equals 50.

The sum of all the angles in a triangle is 180.

180 - 50 - 40 = x

90 = x

Hello! My name is Galaxy and I'll be helping you solve this problem. We can split this problem into two steps. Them being Theory and Solving.

I'll go ahead and start with the Theory.

We can start off by looking at the image you've provided, we can see a triangle that has 2 angles given of a triangle, and an exterior angle of the triangle.

This being said, we can apply the Exterior Angle Theorem.

We can now begin to solve for the missing angle.

We can begin to solve by using our given angles to find the third angle.

According to the Exterior Angle Theorem, we know that the unknown angle along with the [tex]40[/tex]° angle must add up to the [tex]130[/tex]° angle.

Therefore, we can solve for [tex]x[/tex],

[tex]x+40=130\\x=130-40\\x=90[/tex]

After this, we know that angle [tex]x[/tex] is equal to 90°.

Cheers,

Galaxy

Answer:

5 terms

Step-by-step explanation:

The numbers will be 3, 4 1/2, 6, 7 1/2, and 9.

Answer:

[tex]\boxed {A) m < CVB}[/tex]

Step-by-step explanation:

If C is a point inside ∠AVB, then :

⇒ m ∠AVC + m ∠CVB = m ∠AVB

Answer:

the answer is 2.5 million

Step-by-step explanation:

About 2.5 million people moved away from the Great Plains states during the Great Depression.

The 1930s saw a catastrophic economic collapse known as the Great Depression. It was the twentieth century's longest, most widespread, and deepest depression, affecting countries all over the world. The Great Depression began on October 29, 1929, with a stock market catastrophe in the United States known as "Black Tuesday."

This movement was called the Dust Bowl migration and was caused by a combination of factors including drought, soil erosion, and economic hardship.

Many people left the region in search of better opportunities and living conditions.

Therefore, 250,0000 people moved.

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Answer:

this is what i got

After 3 months memberships will cost the same.

We have,

Cost of Membership of 1st gym = $ 10  per month

And, the Cost of the sign-up fee for 1st gym = $ 45

And,

Cost of Membership of  2nd gym =  $ 25 per month

And, the Cost of the sign-up fee of the 2nd gym = $ 0

Now,

Let the number of months = m

So,

According to the question;

45 + 10m = 25m

⇒

25m - 10m = 45

15m = 45

m=3

So, After 3 months memberships will cost the same.

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Answer:

25:28 is the simplest form

Step-by-step explanation:

This is a ratio, think of it like a fraction. You can simplfy it by dividing by common factor.

25 and 28 have no common factors except for 1.

25: 1,5,25

28: 1,2,4,7,14,28

It will stay as 25:28

Answer:

it stays the exact same or 0.893

Step-by-step explanation:

Answer:

2,

Step-by-step explanation:

The vertex is the very highest or very lowest point. X coordinates are listed first, then Y.

The rotations which will map this figure itself are 60°, 120°, and 180°, and these values are given in option i.e. (a) ii, iii, and iv.

We have,

A figure which is on a straight line i.e 180°.

Now,

Find the rotations which it will make,

When a person or figure rotates completely i.e. to reach to its original position or shape it makes an angle of 360°.

So,

In the same way;

After rotaions of this figure to reach it to its original position it has to make an angle of 360°.

So,

That means,

First this figure will make a rotation of 60°.

Then it will make a rotation of 120°.

Then it will make a rotation of 180°.

i.e.

The sum of these angles = 60° + 120° + 180° = 360°.

So,

We have to choose that option, in which the sum of angles is 360°.

i.e.

Option 1. ii, iii, and iv.

Therefore, the rotations which will map this figure itself are 60°, 120°, and 180° and these values are given in option i.e. (a) ii, iii, and iv.

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Answer:

50

Step-by-step explanation:

So you can think of this by grouping it like this:

(1-2) + (3-4) + (5-6) + ... + (97-98) + 99

which is equal to: (-1) + (-1) + (-1)... + (-1) + 99

(each group is equal to -1, and 99 won't have a pair since it's the last one)

then, find how many groups of -1 there are:

the groups start at 1 and end at 98, but there are two in each group, so 98/2 = 49. this means there are 49 groups.

so now, you know that there are 49 -1s, so 49 * (-1) = -49.

finally, you can't forget the extra 99 that didn't have a pair, so -49 + 99 = 50.

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The value of the given series is 240.

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

The explicit formula for any arithmetic series is given by the formula,

aₙ = a₁ + (n-1)d

where d is the difference and a₁ is the first term of the sequence.

The value of [tex]\log_{a^{\frac12}}(a)[/tex] will be equal to 2. Therefore, the series will become,

series = 2 + 4 + 6 + 8 + 10 + 12 + .... + 30

Now, as it can be observed that the given series is an arithmetic series, therefore, the number of terms in the series are,

30 = 2 + (n-1)1

28 = (n - 1)2

n - 1 = 14

n = 15

Further, the sum of the of the series will be,

sum = (15/2)[2(2) + (15-1)2]

sum = (15/2) [4 + 28]

sum = 240

Hence, the value of the given series is 240.

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Answer:

84/5 should be the answer

Step-by-step explanation:

cross multiply

Answer:

Part A = 36z² - 9z + 8

Part B = 5z³ + 4z² + 16z - 23

Part c = Yes.

Step-by-step explanation:

Polynomials : Polynomials are algebraic expressions that consist of variables and coefficients.

Trapezium: A trapezium is a convex quadrilateral with exactly one pair of opposite sides parallel to each other.

Given the length of sides :

Side 1: 11z² - 4z + 2

Side 2: -2z + 3 + 12z²

Side 3: 3 - 3z + 13z²

and The perimeter of the trapezoid is 5z³ + 40z² + 7z - 15.

PART A:

The total length of sides 1, 2, and 3 of the trapezoid is obtained by the sum of the trapezoid :

11z² - 4z + 2 + (-2z + 3 + 12z²) + 3 - 3z + 13z²

11z² - 4z + 2 - 2z + 3 + 12z² + 3 - 3z + 13z²

36z² - 9z + 8

PART B:

The length of the fourth side of the trapezoid is given by the difference between the perimeter of the trapezoid and the sum of  length of sides 1, 2, and 3.

5z³ + 40z² + 7z - 15 - 36z² + 9z - 8

5z³ + 4z² + 16z - 23

PART C:

From part A, we can see that the addition of polynomials results in a polynomial.

Likewise, the subtraction of polynomials results in a polynomial.

Therefore, we can say that the polynomials are closed under addition and subtraction.

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Answer:

11

Step-by-step explanation:

The values of the trigonometric ratio is 1/4 , √15 / 4 , 4 .

When a Triangle is a right angled Triangle then the ratios used to determine the sides and the angles of the triangle are called Trigonometric Ratio.

It is given that in triangle EFG , right angled at F ,

EG = 8 , FG = 2

By Pythagoras theorem

The length of EF is

8² = 2² + EF²

EF = √(64-4) = √60 = 2√15

The value of the trigonometric ratios is

sin E = Perpendicular / Hypotenuse

sin E = 2 / 8 = 1/4

sin G =  2√15 / 8 = √15 / 4

sec G = 1 / cos G = Hypotenuse / Base = 8 / 2 = 4

Therefore the values of the trigonometric ratio is 1/4 , √15 / 4 , 4 .

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Answer:

Midpoint is the average of the two points. Find it as follows:

Answer:

2 angles are 142 degrees

2 angles are 38 degrees

Step-by-step explanation:

In any parallelogram, the opposite angles are congruent.

So,

5x - 8 = 2x + 82

3x - 8 = 82

3x = 90

x = 30

Now lets plug in x into one of the angles:

5 ( 30 ) - 8

150-8

142

So, because that angle is 142, the other angle must also be 142. However, to make sure, we should still check.

2 ( 30 ) + 82

60 +82

142

As we can see, both angles are 142.

Now we have figured out 2 angles, and they are both 142. Now lets figure out the other 2 angles.

Any 4 sided shape has 360 degrees

142 + 142 = 284 degrees

Our 2 angles have 284  degrees in total.

if we subtract 284 from 360, we get 76.

Our remaining 2 angles have a total of 76 degrees. Because these angles are also opposite, we must divide by 2. 76/2 is 38.

So,

2 angles are 142 degrees

2 angles are 38 degrees

Answer: C & D

Step-by-step explanation: Ro 270, Ro -90

Using a linear function, it is found that the costs are given as follows:

A linear function is modeled by:

y = mx + b

In which:

Considering the price of admission and the price per ride, the y-intercept is of 20 and the slope is of 4, the cost for r rides is given by:

C(r) = 20 + 4r.

Hence, for 6 rides, the cost is given by:

C(6) = 20 + 4 x 6 = $44.

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Answer:

slope intercept form

Step-by-step explanation:

y=mx+b is slope-intercept form

I hope this helps :)

Step-by-step explanation:

y = 25 + 15.5x

it's $25 plus the number of nights times $15.5 per night

Answer:

52cm, based on my understanding of the question.

Step-by-step explanation:

See attached image.  Please confirm my understanding of the question.

9) Diagonals of a parallelogram bisect each other, so KN=NM. Thus, KM=13.5+13.5=27 cm

10) Opposite sides of a parallelogram are congruent, so LM=KJ=17 cm

11) Based on Question 9, MN=13.5 cm

Answer:

(3x^2 - 1) * (4x - 3)

Step-by-step explanation:

Answer:

[tex]( {3x}^{2} - 1)(4x - 3) \\ [/tex]

Jamar's first step is correct. He should continue to factor the expression. Then the correct option is A.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

Jamar is attempting to factor the expression 15x² – 16x – 15.

In his first step, he rewrites the expression as 15x² – 25x + 9x – 15.

Jamar's first step is correct. He should continue to factor the expression.

Then the correct option is A.

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