Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem? StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction and angle S is-congruent-to angle U StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction = StartFraction R T Over V T EndFraction StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction and angle S is-congruent-to angle U StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction = StartFraction R T Over V T EndFraction

If you could hurry please I'm on a time crunch!

The polynomial function \(\(f(x) = 2(x^2+3)(x+1)^2\)\) has zeros at -3 with multiplicity 1, and -1 with multiplicity 2. The graph of the function crosses the x-axis at -3 and -1.

To find the zeros and their multiplicities, we set \(\(f(x)\)\) equal to zero and solve for \(\(x\).\)

Setting \(\(f(x) = 0\),\) we have:

\(\[2(x^2+3)(x+1)^2 = 0\]\)

Since the product of two factors is zero, at least one of the factors must be zero. Thus, we solve for \(\(x\)\) in each factor separately:

1. \(\(x^2 + 3 = 0\):\)

  This equation does not have real solutions since the square of a real number is always non-negative. Therefore, this factor does not contribute any real zeros.

2. \(\(x + 1 = 0\):\)

  Solving for \(\(x\), we find \(x = -1\).\) This gives us a zero at -1 with multiplicity 1.

Since the factor \(\((x+1)^2\)\) is squared, the zero -1 has a multiplicity of 2.

Therefore, the zeros for the polynomial function are -3 with multiplicity 1 and -1 with multiplicity 2. The graph of the function crosses the x-axis at both zeros.

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The diagonal is increasing with √2/10 cm/sec when it is 5√2 cm long.

To solve this problem, we can use the relationship between the area of a square, its side length, and its diagonal.

Let A be the area of the square, s be the side length, and d be diagonal. We know that A = s², and using the Pythagorean theorem, d = s√2.

We are given that dA/dt = 1 cm²/sec, and we need to find dd/dt when d = 5√2 cm.

First, let's find the side length when d = 5√2 cm:

5√2 = s√2 => s = 5 cm.

Now, find the area when s = 5 cm:

A = s² => A = 5² = 25 cm².

To find dd/dt, we can differentiate both sides of A = s² with respect to time t:

dA/dt = 2s(ds/dt).

We are given that dA/dt = 1 cm²/sec, and we found that s = 5 cm. Now we can solve for ds/dt:

1 = 2(5)(ds/dt) => ds/dt = 1/10 cm/sec.

Now, differentiate both sides of d = s√2 with respect to time t:

dd/dt = √2(ds/dt).

Plug in the value of ds/dt:

dd/dt = √2(1/10) => dd/dt = √2/10 cm/sec.

So, the correct answer is (d) √2/10 cm/sec.

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The volume of the rectangular prism would be 60 cubic inches.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The volume of the rectangular prism is the product of the base area and the height.

Given the area of the base is  15 square inches and the height of the box is 12 inches.

The volume of the rectangular prism would be :

⇒ Base Area × Height

⇒ 15 in² × 4 in

Apply the multiplication operation, and we get

⇒  60 in³

Hence, the volume of the rectangular prism would be 60 cubic inches.

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Let us first understand what is meant by the term probability of happening of an event. The term probability of an event happening tells us about the extent or how many times it is likely to happen in a given number of tries. For example, if we throw a die of six faces, then the probability of a number to come on the top of the dice tells us about the extent to which that is likely to occur.

The probability of an event to occur in an experiment is equal to the ratio of the outcomes in which this event happens to the total number of outcomes of the experiment. A pack of cards contains 52 total cards. Therefore, when we pick a card from the set there can be 52 different outcomes.

(i) A pack of cards contains 13 red cards. Therefore, out of those 52 outcomes, 13 outcomes are required. Hence, the probability of getting a red card is 1352=14.

(ii) A pack of cards contains 13 black cards. Therefore, out of those 52 outcomes, 13 outcomes are required. Hence, the probability of getting a black card is 1352=14

(iii) A pack of cards contains 4 black cards. Therefore, out of those 52 outcomes, 4 outcomes are required. Hence, the probability of getting an ace is 452=113.

Note: Note that probability is not always sure or it doesn’t guarantee that the specific event will surely happen in those number of trials. This means that the probability of getting an ace card does not mean that in four tries we will surely get an ace. Probability just tells us how likely the event may happen.

Answer:

25/7, 1.87, 3.25, and 22/7

Step-by-step explanation:

16 < 15x - 12

__________

+12. +12

__________

28 < 15x

__________

÷15 ÷15

__________

28/15 < x

__________

x > 28/15

__________

this is true for any number greater than 1 and 13/15 = 1.8666......

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

The second derivative of v with respect to t, denoted as d²v/dt², is equal to 4

The second derivative of v with respect to t, we will differentiate v twice.

v = 2t² + 7t + 11

First, let's find the first derivative of v with respect to t (dv/dt):

dv/dt = d/dt (2t² + 7t + 11)

Using the power rule of differentiation, we differentiate each term separately:

dv/dt = 2(2t) + 7(1) + 0

dv/dt = 4t + 7

Now, let's find the second derivative of v with respect to t (d²v/dt²):

d²v/dt² = d/dt (4t + 7)

Again, using the power rule of differentiation, we differentiate each term separately:

d²v/dt² = 4(1) + 0

d²v/dt² = 4

Therefore, the second derivative of v with respect to t, denoted as d²v/dt², is equal to 4.

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its 6

Step-by-step explanation:

Answer: its 6.

Have a great day/night!

There are 35 unique approaches to choosing 4 individuals for a board.

Given a gathering of understudies: G = {Allen, Brenda, Chad, Dorothy, Eric, Frances, Gale}, the undertaking is to count the quantity of various approaches to picking 4 individuals for a panel with the suspicion that nobody can hold more than one office and that every individual is to stand firm on an alternate foothold on the council. There are two primary sorts of mix: With and without repetition, the case here is without repetition, as shown by the formulae "C(n, r)."

The following formula calculates the number of Probability selection options for r items from a set of n items: C(n, r) = n!/(n - r)!r!Where n is the quantity of things in the set, and r is the quantity of things to be chosen from the set. Applying the recipe to the above issue: The group consists of seven students, and we want to select four for the committee. C(7, 4) = 7!/(7 - 4)!4! = (7 × 6 × 5 × 4)/(3 × 2 × 1 × 4) = 35. Answer: 35. Subsequently, there are 35 unique approaches to choosing 4 individuals for a board.

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Answer:

Step-by-step explanation:  Hello!

I don't remember all of the postulates to these, but I hope this will help you! Vertical angles are congruent, so both angles SRT and PRQ are congruent.  This also means that line segments PQ and ST are congruent.  You also know that angles Q and S are congruent which is given.  By the ASA Theorem, when two angles and a side are congruent, then the triangles are congruent.

Given the figure of an unlabeled rectangle

We need to find which of the labeled figures is a different scaled version of the rectangle

As shown the unlabeled rectangle has the following:

Length = 4 units

Width = 2 units

So, the ratio of the length to the width = 4:2 = 2:1

We will find the ratio of the shown rectangles to find the correct figure.

The rectangles have the label: B, C, D, E, G, H

Now, we will check the ratio for each rectangle

B: Length = 8, Width = 3 ⇒ ratio = 8:3

By making the same sequence

The answer will be:

C, D, H

Each rectangle has a length = of two times the width

These rectangles is a scaled version of the given rectangle

Answer:

11

Step-by-step explanation:

Subtract:

-8 + x = 3

+8        +8

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

    x = 11

Hope this helped.

Answer:

x = 11

Step-by-step explanation:

−8 + x = 3

Add 8 to both sides

x = 11 ✓

Therefore , the solution of the given problem of rectangle comes out to be 5 cm by 9 cm.

A parallelogram is a rectangle with four perpendicularly in the Euclidean plane. It is also known as a rectangle that appears to have equal angles, or an equiangular quadrilateral. A straight angle is an additional option for the parallelogram. A square has four edges that are the same length. A quadrilateral with four 90° vertices and four equal sides is rectangular in form. Due to this, it is occasionally referred to as a "equirectangular rectangle".

Here,

We must multiply each flag measurement by the scale factor of 1/8 in order to determine the measurements of the size drawing of the flag.

=> 40 × 1/8 = 5

=> 72  × 1/8 = 9

As a result, the scale sketch of a flag using a scale of 1:8 is 5 cm by 9 cm in size.

The solution is therefore "5 cm by 9 cm."

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Answer:

6400

Step-by-step explanation:

To find the number that makes the perfect square of 80, multiply 80 times 80 (square 80).

80 squared equals 6400, which means the square root of 6400 would be the perfect square 0f 80.

Answer:

C

Step-by-step explanation:

kkgkckyxitxitzoyfoycyoc

Answer:

40%

Step-by-step explanation:

The total amount of people at the party is 10+15=25

To find the percentage that picked chocolate, divide the number of people that picked chocolate by the total number of people, and then multiply that number by 100.

10/25=0.4

0.4 times 100 = 40

hope this helps!

Answer:

Hi! The answer to your question is 12

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Step-by-step explanation:

Given

\( \frac{8}{ \frac{2}{3} } \\ = 8 \times \frac{3}{2} \\ = 4 \times 3 \\ = 12\)

Hope it will help :)❤

The sum of the measures of the interior angles of a polygon with n sides can be found using the formula (n-2) * 180 degrees.

For a 10-sided figure, we have (10-2) * 180 = 8 * 180 = 1,440 degrees.

Therefore, the sum of the measures of the interior angles of a 10-sided figure is 1,440°.

The answer is A.

Answer:

5d+4

Step-by-step explanation:

Number of ticket sold by Daniel = d .... 1

If Sara sold 4 more tickets to the school play than the number Danielle sold, the total number sold by Sarah is expressed as d+4 .... 2

If Brett sold 3 times as many as Danielle sold, the amount sold by Brett is 3×d = 3d ..... 3

The number of tickets that the 3 students sold altogether can be gotten by adding equation 1, 2 and 3 together as shown;

d+(d+4)+3d

Collect like terms

= d+d+3d+4

= 2d+3d+4

= 5d+4

Hence the number of tickets that the 3 students sold altogether is represented as 5d+4

Answer:

5d+4

Step-by-step explanation:

Have a good day

Answer:

2x²−13x+21

Step-by-step explanation:

Answer: x+4/x-4

Step-by-step explanation:

Answer:

after simplifying, we get,

23/6

Step-by-step explanation:

(2/3+5/2-7/3)+(3/2+7/3-5/6)

We simplify,

\((2/3+5/2-7/3)+(3/2+7/3-5/6)\\(2/3-7/3+5/2)+(3/2+7/3-5/6)\\(5/2-5/3)+(9/6+14/6-5/6)\\(15/6-10/6)+((9+14-5)/6)\\(15-10)/6+(23-5)/6\\5/6+18/6\\(5+18)/6\\23/6\)

The expected winning and the value of that prize, which gives an expected winning is c. $3.13 per ticket.

The expected winnings per ticket in the raffle can be calculated by adding the products of the probability of the expected value of winning each prize. The predicted wins per ticket may be computed as the total of each prize's value multiplied by its probability of winning, i.e.

Expected winnings per ticket

= (1/800) × $400 + (4/800) × $200 + (12/800) × $125 + (30/800) × $60 + (753/800) × $0

If we condense the equation, we obtain:

Calculating the total wins anticipated per ticket

= $0.50 + $1.00 + $1.88 + $0.75 + $0

Expected winnings per ticket = $3.13

Therefore, if you buy a ticket, the expected winnings per ticket are $3.13.

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Complete question:

For a fundraiser, there is a raffle with 800 tickets, each costing $15. 1 ticket will win a $400 prize, 4 tickets will win a $200 prize, 12 tickets will win a $125 prize, 30 tickets will win a $60 prize, and the remaining tickets will win nothing. if you buy a ticket, what are the expected winnings per ticket? question options:

a) $5.36

b) $5.63

c) $5.33

d) $5.66

The required time consumed to burn the calories gained from the slice of pizza is 1.36 hr.

Given that,
A slice of pizza supplies 217 kcal (217 cal). if a person weighing 140 lb expends 80 kcal per mile when walking at 2.0 miles per hour.

here,
1 mile = 80 kcal used,
1 kcal used = 1/80 mile
217 kcal used = 217/80 mile = 2.71 miles
Now,
2 miles = 1 hour,
2.71 miles = 2.71/2 hours
2.71 miles = 1.36 hours

Thus, the required time consumed to burn the calories gained from the slice of pizza is 1.36 hr.

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Answer:

9

Step-by-step explanation:

if you divide 225 by 25 u get 9

Answer:

225/25 = 9

Step-by-step explanation:

took the test

The variation between the sample means is small.

The variation between the sample means provides insight into the spread or dispersion of the data. In this case, if the variation between the sample means is small, it indicates that the mean name lengths across the seven samples are relatively similar and close together. This suggests that there is not much variability or difference in the average name lengths among the different samples of students. Therefore, the variation between the sample means is small, indicating a certain level of consistency in the mean name length across the samples.

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So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

Answer:

Right Isosceles Triangle

Step-by-step explanation:

There is a right angle, indicating that the triangle is right. The other two angles are both the same. We know that isosceles triangles have at least 2 equal sides. Hope you find this useful <33

Answer: ↓↓↓

Step-by-step explanation:

1. a = ?   b = 16  c = 18

a² + b² = c²

a² + (16)² = (18)²

a² +  256 = 324

     - 256   -256

a² = 68

√a² = √68

a ≈ 8.25

2. a = 4     b = 8     c = ?

a² + b² = c²

(4)² + (8)² = c²

16 + 64 = c²

80 = c²

√c² = √80

c ≈ 8.94

Answer:

10.5

Step-by-step explanation: