Which student walked at the fastest rate down the hallway?

6th grader: Walked 120 feet in
15 seconds

7th grader:walked 100 feet in 10 seconds

8th grader: Walked 180 feet in 20 secs

By the symmetric property of congruence is  ∠FSJ ≅∠UPR.

It is required to find the solution.

Symmetry is defined as a proportionate and balanced similarity that is found in two halves of an object, that is, one-half is the mirror image of the other half. A 2D shape is symmetrical if a line can be drawn through it and either side is a reflection of the other.

Given:

The symmetric property is if y = x then x = y. The order of what is on the left or right side of the equation does not matter. It's like saying 2+3 = 5 is the same as 5 = 2+3.

According to given question we have,

This idea can be extended to congruences because congruent angles have the same measure.

Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other.

So, ∠UPR ≅∠FSJ, then ∠FSJ ≅∠UPR.

Therefore, by the symmetric property of congruence is  ∠FSJ ≅∠UPR.

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Answer: see explanation

Step-by-step explanation:

The answer is very simple, you first do 3v + 2v which is 5v then you do 25 / 5 which is 5. This is your v (5). So the answer would be 5, you can ignore the 25+v this is there to confuse you.

Answer: The new tire is 7/32 of an inch deeper, or twice as deep.

Step-by-step explanation: The answer can be found by subtracting the old tire length from the new tire length. We must first find a common denominator. To do that, we multiply both the top and bottom of 7/16 by two and get 14/32. Now we subtract 7/32 (old tire) from 14/32 (new tire) to get 7/32.

Answer:

the amount received in the tenth month is $198

Explicit formula is [tex]a_{n}[/tex] =a + (n-1)d

Here in the explicit formula of the sequence -2, 7, 16, 25....

Formula

[tex]a_{n}[/tex] = a +(n-1)d

In the formula, n is any term number and a(n) is the nth term.

This formula allows us to simply plug in the number of the term we are interested in, and we will get the value of that term.

To find the 5th term, for example, we need to plug n = 5 into the explicit formula.

common difference(d) = 7 - (-2) = 16- 7 = 9

[tex]a_{5}[/tex] = -2 + 9( 5-1)

  = -2 + 36

  = 34

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Answer:

if the question is if the ball might be redor at least one of the balls will be red than yes I thik at least of them will be red if my answer helps at all.

Answer: 0.01061462078411230953603834959767

Rounded to the nearest hundredth: 0.01

Hope this helps!!!

Answer:

0.010614621

Step-by-step explanation:

62÷5841 = 0.010614621

​Hope this helps

Answer:

What are h saving all of your money for? if it’s for a week or day it’s 3 dollars a day if u want know how much u get ina week it’s 3x7 so u would get 21 dollars

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

you can only combine like terms when they have the exact same variable ,

a variable can not add to any number which does not have any variable can not add to a variable.thqt is the way of my understanding

Answer:

2 pen cost £84 each _ 2 ×84=168

3 folders cost £1.35 each_3×1.35=4.05

1 pencil cost £

We can say that JM ≅ LM is under the condition of corresponding to parts of congruent triangles (CPCT).

So,

First, prove that △JMK ≅ △LMK.

So, △JMK ≅ △LMK under AAS condition.

Therefore, we can say that JM ≅ LM is under the condition of corresponding to parts of congruent triangles (CPCT).

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Answer:

Below in bold.

Step-by-step explanation:

(2x³ – y³)²

= (2x³ – y³)(2x³ – y³)           Using the Distributive Property:

= 2x³(2x³ – y³) - y³(2x³ – y³)

= 2x⁶ - 2x³y³ - 2x³y³ + y⁶

= 2x⁶ - 4x³y³ + y⁶

answer:

9

explanation:

-3 * 2= -6

-6 + 15 = 9

Answer:

answer:

9

explanation:

-3 * 2= -6

-6 + 15 = 9

Step-by-step explanation:

Answer: its A. ^^

Step-by-step explanation:

The statement describing the comparison correctly is "There is a gap in the data and an outlier in both graphs" option (A) is correct.

Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics is described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analyzing it even further.

It is given that:

The two-bar graph is given in the picture.

From the data given in the picture.

Both plots contain an outlier and a data gap.

Thus, the statement describing the comparison correctly is "There is a gap in the data and an outlier in both graphs" option (A) is correct.

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The solution of the equation 4/x+3=5 is at x = -11/5.

According to the given question.

We have an equation 4/x+3=5.

As we know that, an equation is a condition on a variable such that two expressions in the variable should have equal value.

Therefore, the solution of the equation 4/x+3=5.

4/x+3 = 5

⇒ 4 = 5(x + 3)             (multiplying both the sides by x + 3)

⇒ 4 = 5x + 15             (by distributive rule)

⇒ 4 - 15  = 5x        

⇒ -11  = 5x

⇒ x = -11/5

Hence, the solution of the equation 4/x+3=5 is at x = -11/5.

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Answer:

which is divisible by manufacturers are called composite numbers

Answer:

√2⁵

Step-by-step explanation:

✅️✅️✅️✅️✅️✅️✅️✅️‍♀️‍♀️‍♀️

Answer:

[tex]\sqrt{2^{5} }[/tex]

It's B

Step-by-step explanation:

Look at the image

I hope this helps.

Mark me brainliest, please.

answer:

k= -1

Step-by-step explanation:

7k+3=-4

7k=-3-4

7k=-7

1k= -1

Given equation,

→ 7k + 6 - 3 = -4

Now solving for value of k,

→ 7k + 6 - 3 = -4

→ 7k + 3 = -4

→ 7k = -4 - 3

→ k = -7/7

→ [ k = -1 ]

Hence, the value of k is -1.

Answer:

see explanation

Step-by-step explanation:

1

x² + 4x + 3

consider the factors of the constant term (+ 3) which sum to give the coefficient of the x- term (+ 4)

the factors are + 1 and + 3 , since

1 × 3 = + 3 and 1 + 3 = + 4 , then

x² + 4x + 3 = (x + 1)(x + 3)

2

y² - 5y + 6

consider the factors of the constant term (+ 6) which sum to give the coefficient of the y- term (- 5)

the factors are - 3 and - 2 , since

- 3 × - 2 = + 6 and - 3 - 2 = - 5 , then

y² - 5y + 6 = (y - 3)(y - 2)

3

x² - 5x - 36

consider the factors of the constant term (- 36) which sum to give the coefficient of the x- term (- 5)

the factors are - 9 and + 4 , since

- 9 × 4 = - 36 and - 9 + 4 = - 5 , then

x² - 5x - 36 = (x - 9)(x + 4)

4

y² + 5y - 14

consider the factors of the constant term (- 14) which sum to give the coefficient of the y- term (+ 5)

the factors are - 2 and + 7 , since

- 2 × 7 = - 14 and - 2 + 7 = + 5 , then

y² + 5y - 14 = (y - 2)(y + 7)

Answer:

Step-by-step explanation:

[tex]1)\\x^2+4x+3=\\x^2+3x+x+3=\\(x)(x+3)+(1)(x+3)=\\(x+3)(x+1)[/tex]

[tex]2)\\y^2-5y+6=\\y^2-3y-2y+6=\\(y)(y-3)-(2)(y-3)=\\(y-3)(y-2)[/tex]

[tex]3)\\x^2-5x-36=\\x^2-9x+4x-36=\\(x)(x-9)+(4)(x-9)=\\(x-9)(x+4)[/tex]

[tex]4)\\y^2+5y-14=\\y^2+7y-2y-14=\\(y)(y+7)-(2)(y+7)=\\(y+7)(y-2)[/tex]

Answer: The linear regression equation which models the relationship between homework grade and test grade and the predicted homework grade are :y = 1.20x - 14.32Predicted, x = 69Using technology, the linear model can be obtained using either excel or a linear regression calculator. Using a linear regression calculator which gives the linear equation in the form :y = bx + c y = 1.20x - 14.32y = Test grade ; x = homework grade Slope, b = 1.20 ; intercept, c = - 14.32 Using the model equation obtained : Test grade, y = 68Homework grade, x y = 1.20x - 14.32 68 = 1.20x - 14.32 68 + 14.32 = 1.20x 82.32 = 1.20x x = (82.32 ÷ 1.20)x = 68.6x = 69 (nearest integer) Therefore, the estimated homework grade for a test score of 68 is 69

Step-by-step explanation: hope u get an a+!

The 10th term of the geometric sequence with a(11) = -5 and r = -1/2 is a(10) = 10.

A geometric sequence is a sequence of numbers where the nth term is obtained by multiplying the (n-1)th term by a constant, called a common ratio (r). Mathematically, it can be expressed as:

a(n) = a(n-1) . r

So, if  a(1), a(2), a(3), ..., a(n) is a geometric sequence, then:

a(2) = a(1) . r

a(3) = a(1) . r

and so on.

In the problem, the given parameters are: a(11) = -5 and r = -1/2, and we need to find a(10).

Using the above recursion:

a(11) = a(10) . r

-5 = a(10) . (-1/2)

Multiply both sides by (-2)

-5 . (-2) = a(10) . (-1/2) . (-2)

a(10) = 10

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If a store owner wants to develop a new snack mix by mixing chocolate and trail mix, then the number of pounds of chocolate costing $20.10 per pound that should be mixed with 25 pounds of trail mix costing $2.80 per pound to create a mixture worth $8.41 per pound is equal to 11.99.

The pounds of chocolate needed to create a mixture worth $8.41 per pound can be calculated using an algebraic expression.

An algebraic expression can be defined as an expression consisting of both numbers and letters.

If x = the unknown pounds of chocolate

An algebraic expression can be given as,

20.10x + 2.80(25) = 8.41(x + 25)

Solving for x,

20.10x + 70 = 8.41x + 210.25

Rearranging,

20.10x - 8.41x = 210.25 - 70

11.69x = 140.25

x = 140.25 ÷ 11.69

x = 11.99

Hence, 11.99 pounds of chocolate costing $20.10 per pound should be mixed with 25 pounds of trail mix costing $2.80 per pound to create a mixture worth $8.41 per pound.

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Answer:

2(x+6)

Use the distributive property to multiply 2 by x+6.

2x+12

Step-by-step explanation:

Answer:

2x+12

Step-by-step explanation:

you simply times what is inside the bracket with what is outside

2×x= 2x

2×6= 12

then just put them back to where they were before without the brackets so:

X+6--->2x+12

hope this helps lol

The inequality that Winston can use to determine the minimum number of signatures is 3x ≥ 57.

The first step is to determine which inequality sign would be used.

The following are inequality signs and what they mean:

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

The sign that would be used is the greater than or equal to sign - ≥ . This is because the number of signatures can be either equal to 80 or greater than 80.

The next step is to determine the least number of signatures needed : 80 - 23 = 57

3(number of signatures they would get) ≥ 57

3x ≥ 57

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Answer:

a. 3(x-7)+2=2x-1

3x-21+2=2x-1

3x-19=2x-1

+19 +19

3x=2x+18

-2x -2x

x=18

b. 2x-(5-x)=3x+2(x-7)

2x-5+x=3x+2x-14

3x-5=5x-14

-14 -14

3x+9=5x

-3x -3x

9/2=2x/2

x=9/2

The given sequence is not geometric.

A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

Given: [tex]1, \frac{1}{2}, \frac{1}{3},\frac{1}{4},...[/tex]

Here, [tex]\frac{\frac{1}{2}}{1} \neq \frac{\frac{1}{3}}{\frac{1}{2}}\neq \frac{\frac{1}{4}}{\frac{1}{3}}[/tex]

Since the given sequence does not follow the necessary condition for a sequence to be geometric, it is not the one.

Hence, The given sequence is not geometric.

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The mean temperature change between the two cold seasons is (b) went up by 0.3°

The given parameters are:

2011-2012:

2012-2013:

The mean is calculated as

Mean = Sum/Count

So, we have

2011 - 2012 mean = (61.1 + 51.9 + 53.6 + 56.5)/4

Evaluate

2011 - 2012 mean = 55.8

Also, we have

2012 - 2013 mean = (64.2 + 56.8 + 48.3 + 55.1)/4

Evaluate

2012 - 2013 mean = 56.1

The difference in these mean values are

Difference = 56.1 - 55.8

Evaluate

Difference = 0.3

Hence, the mean temperature change between the two cold seasons is (b) went up by 0.3°

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The three types of congruence transformations are rotation, reflection, and translation is TRUE.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

Reflection is a mirror image of a graph about any axis.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

A triangle will remain congruent if we rotate it by any angle in either a clockwise or counterclockwise manner.

If we transform by any amount either horizontal or vertical then it will remain the same so it will be congruent.

A triangle will remain the same if we mirror it on any axis, making it congruent.

Hence "The three types of congruence transformations are rotation, reflection, and translation is TRUE".

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