what is the value of k ?

Answer:

The measures are 22 and 68 degrees

Step-by-step explanation:

for a right triangle, the total angle measure gives 90

Let one of the acute angle be x and the other be y

The measure of one of the acute angle is 4 times the the difference of the measure of the other angle and 5

x = 4(y-5)

Also x + y = 90

Put i into ii

4(y-5) + y = 90

4y-20 + y = 90

5y-20 = 90

5y = 90 + 20

5y = 110

y = 110/5

y = 22

But;

x = 4(y-5)

x = 4(22-5)

x = 4(17)

x = 68

The sum of the acute angles in a right-angled triangle is 90.

The acute angles are 22 and 68 degrees

Let the acute angles be x and y, such that:

[tex]\mathbf{y = 4(x - 5)}[/tex]

So, we have:

[tex]\mathbf{x + y = 90}[/tex]

Substitute 4(x - 5) for y

[tex]\mathbf{x + 4(x - 5) = 90}[/tex]

Open brackets

[tex]\mathbf{x + 4x - 20 = 90}[/tex]

Add x and 4x

[tex]\mathbf{5x - 20 = 90}[/tex]

Add 20 to both sides

[tex]\mathbf{5x = 110}[/tex]

Divide both sides by 5

[tex]\mathbf{x = 22}[/tex]

Recall that:

[tex]\mathbf{y = 4(x - 5)}[/tex]

So, we have:

[tex]\mathbf{y = 4(22 - 5)}[/tex]

[tex]\mathbf{y = 68}[/tex]

Hence, the acute angles are 22 and 68 degrees

Read more about acute angles at:

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Answer:

Commutative.

Associative property works on symbols instead of signs!

Answer:

associative property

Step-by-step explanation:

[a+b]+(c)=(a)+[b+c]

Answer:

Step-by-step explanation:

Given the expression g(c) = 6c/2, we are to find the value when c = 2

Substitute c = 2 into the expression

g(2) = 6(2)/2

g(2) = 12/2

g(2) = 6

Hence the result when c = 2 is 6

Answer:

7

Step-by-step explanation:

this is an isosceles triangle so you know the two longer sides must be equal.

2x-7=7

2x=14

x=7

Answer:

The answer to this question is A) 7

Answer:1

Step-by-step explanation:

Answer:

Costul unui kilogram de nectarine = x = 6 lei

Costul kilogram de piersicilor = y = 4 lei

Step-by-step explanation:

Lăsa

Costul nectarinelor = x

Costul piersicilor = y

Prin urmare:

Dacă 4 kg de nectarine și 6 kg de piersici costă 48 de lei

4x + 6y = 48 .... Ecuația 1

3 kg de nectarine și 9 kg de piersici costă 54 de lei

3x + 9y = 54 .... Ecuația 2

Combinând ambele ecuații

4x + 6y = 48 .... Ecuația 1

3x + 9y = 54 .... Ecuația 2

Rezolvăm folosind metoda Eliminare

Înmulțiți ecuația 1 cu 3 și ecuația 2 cu 4 pentru a elimina x

12x + 18y = 144 .... Ecuația 3

12x + 36y = 216 ... Ecuația 4

Scădeți ecuația 4 din 3

-18y = -72

y = -72 / -18

y = 4 lei

Pentru a rezolva pentru x: y = 4

4x + 6y = 48 .... Ecuația 1

4x + 6 × 4 = 48.

4x + 24 = 48

4x = 48 - 24.

4x = 24

x = 24/4

x = 6 lei

Prin urmare:

Costul unui kilogram de nectarine = x = 6 lei

Costul kilogram de piersicilor = y = 4 lei

Answer:

n=2

Step-by-step explanation:

1/4n + 5= 5 1/2

1/4n= 1/2

(multiply both sides by 4 to cancel out the fraction on the left side of rhe equation)

n=2

Answer: 13,I

Step-by-step explanation:

set the 3 number is 3/5, x,y

product of them

3 /5 xy = 7:6

xy = 7:6 x 5 /3

Xy = 13

So the two number is 13, 1

Step-by-step explanation: hope this helped, Meow!

Answer:

The answer is 6 to the power of 8

hi alondra its me Andrew Moreno. I also used brainly on the final.

Answer:

angle 7 = angle 3 because corresponding angles r equal

Answer:

SAS ( Side, Angle, Side)

Step-by-step explanation:

Both triangles - shown by the arcs labelled on them - have two known congruent sides, and an angle which they are both equal to.

(No units are needed as this shows already that both triangles are congruent to each other)

Hope this helps

Answer:

the exponent is -8, since when you're dividing these with teh same base, in this case 9, you just have to subtract the exponents, so it's 9^-8

Step-by-step explanation:

9514 1404 393

Answer:

  1/9^8

Step-by-step explanation:

The applicable rules of exponents are ...

  a^-b = 1/a^b

  (a^b)(a^c) = a^(b+c)

__

  [tex]\dfrac{9^{-5}}{9^3}=\dfrac{1}{9^5\cdot9^3}=\dfrac{1}{9^{5+3}}=\boxed{\dfrac{1}{9^8}}[/tex]

Answer:

3486784401

Step-by-step explanation:

a=3, r = T2/T1 = 9/3=3

Tn = ar^(n-1)

T20 = ar^(20-1)

T20 = ar^19

T20 = 3×(3^19]

T20 = 3486784401

Answer:

The given geometric series is:

3,9,27,81

Step-by-step explanation:

common ratio: r = ([tex]a_n +1/ a_n[/tex])

                        r = 3

20th term of geometric series is that :

[tex]3^{1} =3\\3^2=9\\3^3=27\\3^4=81\\3^5=243\\.\\.\\.\\.\\.\\3^20 = 3486784401[/tex]

Answer: 3 3/4 inches

Step-by-step explanation:

From the question, we are informed that In April, it rained 1/4 of an inch on 15 different days.

The number of inches of rain that fell in April would be the multiplication of 1/4 by the total number of days. This would be:

= 1/4 × 15

= 15/4

= 3 3/4 inches

Answer:

-19

Step-by-step explanation:

-3x=57

Divide by -3

-3x/-3=57/-3

x=57/-3

x=-19

Hope this helps plz hit the crown :D

Answer:

A line graph would be nice

Step-by-step explanation:

It would show how the prices increase over time

***im probs too late

Answer:

C

Step-by-step explanation:

you divide 7852 by 6 to get 1308.6666666 (etc.)

then you multiply 1308 by 6 (so you take away the .6666) to get 7848

your answer is 4

Answer:

I believe the answer would be D, $24.86

Answer:

$13.50 typical tip

Step-by-step explanation:

So to find the percentage

multiply 0.15*90

You’ll get 13.5

Answer:

13.50

Step-by-step explanation:

Find 15% of 90 dollars

90 * 15%

Change to decimal form

90 * .15

13.50

Answer:

2

Step-by-step explanation:

The equation is equal to 6-3x=8x-16. This gives 11x=22. x=2

Answer: Your answer is D becasue when you add -3.5 - (-8.2) you get 4.7, and its the same as -3.5 + (+8.2). I hope that kinda explaines it.

Step-by-step explanation:

Answer: 34.2 pounds

Step-by-step explanation:

First, convert 15 4/5 into an improper fraction. You should get 79/5. Then, convert 50 into a fraction that has a denominator of 5. Right now, 50= 50/1 so just multiply the top and bottom by 5 to make it 250/5. Then, subtract 79/5 from 250/5. You should get 171/5. Lastly, simplify. You should get 34.2 pounds as your final answer. Hope this helps!

Answer:

[tex]y=-x+2[/tex]

Step-by-step explanation:

[tex]2x+2y=4[/tex]

[tex]2y=-2x+4[/tex] (Subtract 2x from both sides of the equation)

[tex]y=\frac{-2x+4}{2}[/tex] (Divide both sides of the equation by 2 to get rid of y's coefficient)

[tex]y=-x+2[/tex] (Simplify RHS)

Hope this helps!

Answer:

Step-by-step explanation:

H(t) =  -16[tex]t^{2}[/tex]+4.624  ( in feet)

0 = -16[tex]t^{2}[/tex] + 4,624

-4,624 =  -16[tex]t^{2}[/tex]

-4,624 / -16 = [tex]t^{2}[/tex]

289 = [tex]t^{2}[/tex]

17 = t

so.. 17 seconds to hit the ground..  :)

The piece of wood 17 seconds takes to hit the ground.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

A tornado drops a piece of wood from a height of 4,624 ft.

Given that the equation for the height as a function of time is

h(t) = -16t² + initial height

Substitute height = 4,624 ft. in the equation,

h(t) =  -16t² +4.624

At ground level, the value of h(t) is zero,

0 = -16t² + 4,624

16t² = 4,624

t² = 4,624/16

t² =289

t = 17

So, 17 seconds to hit the ground

Hence, the piece of wood 17 seconds takes to hit the ground.

Learn more about Arithmetic operations here:

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Answer:

3

Step-by-step explanation:

Given that :

A1 = 2.5 ; Σdx1 = 50

A2 = 5.5 ; Σdx2 = -250

Mean (m) = A + Σdx/N = 50

m = A + Σdx/N

m - A = Σdx/N

Nm - NA = Σdx

From the parameters given :

Nm - 2.5N = 50 - - - (1)

Nm - 5.5N = - 250 - - - (2)

Subtract (1) from (2)

3N = 300

N = 300/3

N = 100

Put N = 100 in either (1) or (2)

From (2):

100(m) - 5.5(100) = - 250

100m - 550 = - 250

100m = - 250 + 550

100m = 300

m = 300/100

m = 3

Hence, Arithmetic mean = 3

Answer:

gjlll has 3

Step-by-step explanation:

amy has 555

Given:

Dividend = [tex]2x^3-5x^2+x+2[/tex]

Divisor = [tex]x-2[/tex]

To find:

The quotient and remainder.

Solution:

We have,

Dividend = [tex]2x^3-5x^2+x+2[/tex]

Divisor = [tex]x-2[/tex]

Divide [tex]2x^3-5x^2+x+2[/tex] by [tex]x-2[/tex] as shown in the below picture.

Dividing [tex]2x^3-5x^2+x+2[/tex] by [tex]x-2[/tex], we get

[tex]Quotient=2x^2-x-1[/tex]

[tex]Remainder=0[/tex]

Therefore, [tex]Quotient=2x^2-x-1[/tex] and [tex]Remainder=0[/tex].

Answer:

The answer is 12 times 23

Answer:

12.5h cm²

Step-by-step explanation:

Area of trapezoid

=h×(12+13)/2 cm²

=h×25/2 cm²

=12.5h cm² ( in algebraic way)

Answer: k = 3

because p - 1 is a factor of the equation

=> at p = 1,  p^4 + p² + p - k =0

with p =1, we have: 1 + 1 + 1 - k = 0

⇔ k = 3

Step-by-step explanation:

Answer:

Solution,

since the factor of f(p) = p-1

we know, f(p)= 0

p=1 (from remainder theorem)

now,

f(p) =p^4+p^2+p-k

0= 1^4+1^2+1-k

0= 1+1+1-k

0= 3-k

k=3

Answer:

a (1, 2.5)

Step-by-step explanation:

When talking about the orthocenter, you want to make sure that the point you are looking for is in the exact center.  Since coordinate N of the x value is 1, we can safely assume that your top two choices are either a and b.  B wouldn't work since it is not at the exact center which makes your answer A.