triangle sum theorem
WILL MARK BRAINLIEST

Answer:

distance travelled by sprinter = 100 m

Time taken = 11.21sec

∵speed = distance/time taken

= 100/9.83

= 10.17 m/s

Now we know, 1 km/h = 1000/3600 m/s

so, 1 m/s = 3600/1000 km/h = 18/5 km/h

∴ 10.17 m/s = 10.17 × 18/5 = 10.17 × 18/5 = 36.612 km/h

Hence, average speed = 36.612 km/h

Step-by-step explanation:

Answer:

distance travelled by sprinter = 100 m

Time taken = 11.21sec

Hence, average speed = 36.612 km/h

Step-by-step explanation:

Answer:

this copy and paste is to hard to read making it impossible to solve sorry.

Step-by-step explanation:

The value of the expression is 256.

Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.

For the given situation,

The expression is  $x^{6} + (y^{2} \div z^3)\cdot w^3$

⇒ [tex]x^{6}(\frac{y^{2} }{z^{3} } )(w^{3} )[/tex]

Substitute $x=2$, $y=3^2$ = 9$, $z=3$, and $w=4$,

⇒ [tex]2^{6}(\frac{9^{2} }{3^{3} } )(4^{3} )[/tex]

⇒ [tex]64+(\frac{81}{27} )(64)[/tex]

⇒ [tex]64+(3)(64)[/tex]

⇒ [tex]64+192[/tex]

⇒ [tex]256[/tex]

Hence we can conclude that the value of the expression is 256.

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Answer:

y= -1 , 0 , y = -2

x= 10 , infinity , x = 7

x= -4 , infinity , x= 7

Answer:

Step-by-step explanation:

reflection over y-axis

Option A is correct, 180 degree rotation counter clockwise about the origin is transformation which would carry the rhombus onto itself.

We need to consider the properties of a rhombus and how each transformation affects its shape and orientation.

A rhombus is a quadrilateral with all four sides of equal length. It also has opposite angles that are congruent. Based on this information, we can analyze each transformation option:

180-degree rotation counterclockwise about the origin is a transformation would preserve the shape and size of the rhombus since a 180-degree rotation does not change the lengths of the sides or the angles.

Therefore, it is a possible transformation that carries the rhombus onto itself.

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Answer:

raiz de 84 = 9.16

Step-by-step explanation:

la ubicacion que debes de poner es en la primera linea que te anexe en la linea

Answer:

4^5

Step-by-step explanation:

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[tex] \frac{ {4}^{8} }{ {4}^{3} } = {4}^{8} \div {4}^{3} = {4}^{8} \times {4}^{ - 3} = \\ [/tex]

[tex] {4}^{8 - 3} = {4}^{5} [/tex]

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Answer:

(-2.-8) is the answer to the question

The solution of the inequality equation 7x - 4y < 18 will be (-2, -8) and yes, it has a solution.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

For each ordered pair (x, y), determine whether it is a solution to the inequality 7x - 4y < 18.

The equation is satisfied by the point (-2,– 8). Then we have

     7x - 4y = 18

7(-2) - 4(-8) = 18

    -14 + 32 = 18

              18 = 18

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Answer:

Step-by-step explanation:

Given the expression a = 3/b

as the denominator of the of the expression b increases the value of the output is known to be decreasing. if the value of b now goes so large to become an infinite, value then the value of a will goes to zero as shown;

If b = ∞

a = 3/∞

a = 0

Note that for any constant value a, the ratio a/∞ will always tends to zero

Answer:x<-7/3

Step-by-step explanation:

Answer: X > -7/3

Step-by-step explanation:

-3x + 8 < 15

subtract 8 from both sides

-3x < 7

divide by negative 3

Also, when dividing or multiplying by a negative you flip the sign.

x > -7/3

Answer :)

Answer:

non proportional

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

It’s y2 - y1 over x2-x1

- 2 - 3

— - -—-

6 - (-4)

= -5/10

= -1/2

Answer: 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

The change of y with respect to x is known as the slope of the line. The standard form of the equation is y = mx+c  where m is the slope.

Given the equation 25x - 4y = 50, we need to make y the subject of the formula before we get the slope as shown;

25x - 4y = 50

-4y = -25x+50

Divide through b y -4

-4y/-4 = -25x/-4 + 50/-4

y = 25/4 x - 25/2

Comparing with y = mx+c

mx = 25/4 x

m = 25/4

Hence the rate of change of y with respect to x is 25/4

The rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].

Given the equation:

[tex]25x - 4y = 50[/tex]

The rate of change = the slope of the line

[tex]25x - 4y = 50[/tex]

[tex]25x -25x - 4y = - 25x + 50\\\\-4y = - 25x + 50[/tex]

[tex]\frac{-4y}{-4} = \frac{-25x}{-4}+ \frac{50}{-4}\\\\y = \frac{25}{4}x - \frac{25}{2}[/tex]

Therefore, the rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].

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I am not certain but I think c? if its wrong sorry

Answer:

3/2 + 2/2. A teacher has to give 2 pencils to one student. 1 student gives him 3 pencils, another student give him 2 pencils. How much pencils does the teacher have?

Step-by-step explanation:

All you do is you find a problem that would give you 5/2 then create a word problem.

Answer:

true ig

Step-by-step explanation:

gfsetghdfr

Answer:

Step-by-step explanation:

There are two polygons. The larger one has three times as many sides as the smaller one. Its angle sum is four times as big. How many sides does the smaller polygon have? (Need full solution)?

“Three times as many sides” means the larger polygon has a multiple of 3 sides. 3 is the fewest sides any polygon can have, so it has not less than 9 sides.

Its angle sum is four times the smaller one’s. This applies to interior angles.

A triangle’s sum is 180. A square’s is 360. A pentagon’s is 540. Any sum will be a multiple of 180, and equal to the number of sides minus two, then multiplied by 180.

A hexagon has 6 sides, so 4×180=720 degrees sum. That part fits the triangle, but we know that can’t be the answer because 3×3=9.

So start at 9.

7×180÷4 can’t be a multiple of 180. What we need is a multiple of 3 which is 2 greater than a multiple of 4.

18 fits that description.

The 18-gon’s interior sum is 16×180=2880, divide that by 4 to get 720, which is the hexagon’s sum.

18÷6=3, so we have a solution. The smaller polygon can be a hexagon.

We should check the next one though. Multiples of 3: 21, 24, 27, 30, 33, 36, 39, 42 (every 4th multiple of 3 will be 2 more than a multiple of 4).

So the 30-gon:

28×180=5040

5040÷4=1260

1260÷180=7

7+2=9

9×3=27

Off by 3.

The 42-gon:

((((((42–2)×180)÷4)÷180)+2)×3)=36

Off by 6. It will keep getting farther away, so we have a unique solution.

Answer:

x = 80

Step-by-step explanation:

x + 30 = 110 (opposite sides are congruent/equal)

x = 110 - 30 (subtract the 30 from both sides to get X by itself)

x = 80 (simplify)

Answer:

37 1/2

Step-by-step explanation:

before you multiply you fractions you would have to change the mixed number into a improper fraction and then multiply your fractions together. once that is dont you would multiply they numerator straight across and multiply the denominator straight across. once that is done your answer should come out as 150/4 but that is a improper fraction and you have to change it into a mixed number which would be 37 2/4 but that can be simplified by 2 and once you simplify it your final answer would come out to be 37 1/2.

The required solution to the given expression is 37 1/2 in mixed number form.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

To determine the evaluation of expression 10 ÷ 3 3/4

When considering multiplying your fractions together, you would need to convert the mixed number into an improper fraction. After that, you would multiply the denominator across and the numerator across, respectively. Your final answer should be 150/4 after that, but since it is an improper fraction, you must convert it to a mixed number, which is 37 2/4. However, if you simplify it by 2, your final answer will be 37 1/2.

Thus, the required solution to the given expression is 37 1/2 in mixed number form.

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[tex] \frac{43}{10} - x = 4 \\ [/tex]

[tex] \frac{43}{10} - x = \frac{40}{10} \\ [/tex]

Subtract sides 43 / 10

[tex] - \frac{43}{10} + \frac{43}{10} - x = - \frac{43}{10} + \frac{40}{10} \\ [/tex]

[tex] - x = \frac{ - 43 + 40}{10} \\ [/tex]

[tex] - x = - \frac{3}{10} \\ [/tex]

Negatives simplifies

[tex]x = \frac{3}{10} \\ [/tex]

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Thus we need to subtract

[tex] \frac{3}{10} \\ [/tex]

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Answer:

83/10

Step-by-step explanation:

let x represent the number:

43/10 - x = 4

x = 4 + 43/10

simplifying the answer:

x = (4(10) + 43)/10

x = (40 + 43)/10

x = 83/10

Answer:

7

Step-by-step explanation:

Answer:

d. none of these

Step-by-step explanation:

Answer:

The length of x=3/1

Step-by-step explanation:

Given the right triangle

Ф = 30

We know that

sin Ф = opposite/hypotenuse

The opposite of angle 30° = x

The hypotenuse is = 6

so

sin 30 = opposite/hypotenuse

    1/2      = x/6           ∵ sin 30 = 1/2

     1/2 × 6 = x

     6/2 = x

       3/1 = x

Therefore, the length of x=3/1

9514 1404 393

Answer:

Step-by-step explanation:

Let v represent Vickey's age now. Then Krishna's age now is 27-v. In 4 years, the sum of their ages is ...

  (27 -v +4) +2(v +4) = 43

  27 -v +4 +2v +8 = 43 . . . . eliminate parentheses

  v +39 = 43 . . . . . . . . . . . . . collect terms

  v +39 -39 = 43 -39 . . . . . . subtract 39 from both sides

  v = 4 . . . . . . . . . . . . . . . . . simplify; this is Vickey's age

  27 -v = 23 . . . . . Krishna's age

Vickey's age is 4; Krishna's age is 23.

Answer:

1

Step-by-step explanation:

Answer:

2⁰ power is equal to 1

Step-by-step explanation:

Any number with the exponent of 0 will always equal 1, no matter what the number is. Hope it helps!