solve each equation for the specified variable y+v=w solve for v

Answer:

The number of non-congruent triangles that can be formed by connecting 3 of the vertices of the cube is 3 non-congruent triangles

Step-by-step explanation:

From the three dimensional shape of a cube, triangles can be constructed from;

1) 6 side faces

2) 4 front face to opposite vertices triangles

3) 4 rear face to opposite vertices triangles

Each face can produce ₄C₃ = 4 triangles

Therefore;

The total number of triangles that can be formed = 4 × 6 + 4 × 4 + 4  × 4 = 56 triangles

Of the 56 triangles, it will be found that all 24 triangles from the different 6 direct faces will have the same dimension of 1, 1, √2 are congruent

The 24 triangles formed by the sides of the faces and an adjacent diagonal have the same dimension of 1, √2, √3 and are congruent

The 8 triangles formed by joining the three diagonals have the same dimension of √2, √2, √2 are congruent

Therefore, the 56 triangles comprises of a combination of three non-congruent triangle.

There are only 3 observed non congruent triangles formed by connecting three of the vertices of the cube.

Answer:

Answer is 3, i had it for homework

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

13 pieces

Step-by-step explanation:

1 yard = 3 foot

[tex]8\frac{2}{3}yard = \frac{26}{3}*3[/tex]

          = 26 foot

Number of pieces = 26 ÷ 2 = 13

Answer:

$7

Step-by-step explanation:

So since he gets $28 in one month and there are 4 weeks in a month, -->

28/4 = 7 so, $7

Answer:

A

Step-by-step explanation:

Using the recursive formula with a₁ = 5 , then

a₂ = 2a₁ - 7 = 2(5) - 7 = 10 - 7 = 3

a₃ = 2a₂ - 7 = 2(3) - 7 = 6 - 7 = - 1

a₄ = 2a₃ - 7 = 2(- 1) - 7 = - 2 - 7 = - 9 → A

Answer:

7 packages

Step-by-step explanation:

Total number of saplings = 15 + 20 = 35

Number of saplings per package = 5

Number of packages = Total saplings ÷ Number of saplings per package

                                   = 35 ÷ 5

                                     = 7

Answer:

7

Step-by-step explanation:

Answer:

WHAT

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. DE = DF (Def of midpoint)

2. EB = EB (Reflexive)

3. <DEB is congruent to <FEB

3. EB is a transversal- alternate interior angles are congruent

4. SAS

4. SAS theorem states that two triangles are equal if two sides and the angle between those two sides are equal.

Answer:

B) 2775.9

Step-by-step explanation:

The missing options are:

A) 578

B) 2775.9

C) 134.591

D) 31.757

The digit 5 is in the tenths in 4.59. This means that its value is 0.5. A value 10 times greater is 10*0.5 = 5, that is, a 5 in the ones, like in 2775.9.

Answer:

The last one

Step-by-step explanation:

The zeros of a function f(x) are the values of x such that f(x)=0. Since the coordinate y equals f(x), we must look for the values where y=0 (x-intersect).

Since f(x) is factorized, f(x)=0 only when one of its factors equals zero.

So we have

f(x) = 0 ===> x+2 = 0 OR x+1 = 0 OR x+4 = 0

and we have

x = -2 or x = -1 or x = -4

Hence the function must intersect the x-axis at these points.

The only graph that matches the requirements is the last one.

If I'm wrong I'm so sorry!

If I'm right Thank you and (Brainliest plz)

Hey there! :)

Answer:

m∠θ = 69°.

Step-by-step explanation:

If sin (21°) = 0.36 and cos θ = 0.36, the two angles are complementary because the sine and cosine values are equivalent. Therefore:

90 - 21 = 69°.

The correct answer is D) m∠θ = 69°.

Answer: C

Step-by-step explanation: With inverse equations, you switch y and x (y=f(x)) and undo/reverse the steps towards x.

1. Multiply by 3

2. Add 2

Equation by itself

0. x

1. 3(x)

2. 3(x+2)

The inverse of the given function is f⁻¹(x) = 3(x + 2).

The inverse function of a function f(x) in mathematics is a function that reverses the operation of f(x).

The given function in the question:

f(x) = (x/3) - 2

f(x) + 2 = x/3

x + 2 = f⁻¹(x)/3

f⁻¹(x) = 3(x + 2)

Hence, the inverse of the given function is f⁻¹(x) = 3(x + 2).

Learn more about inverse on:

https://brainly.com/question/3831584

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Answer:

(a) Local Maximum (x,y) = (0,12)

    Local Minimum (x,y) = (-9,6) (smaller x-value)

    Local Minimum (x,y) = (6,3) (Larger x-value)

(b) Increasing = [tex](-9,0)\cup (6,\infty)[/tex]

    Decreasing = [tex](\infty,-9)\cup (0,6)[/tex]

Step-by-step explanation:

(a)

Local Maximum: The function gives maximum value in small neighborhood.

From the given graph it is clear that the maximum value of the function is 12 at x=0. So,

Local Maximum (x,y) = (0,12)

Local Minimum: The function gives minimum value in small neighborhood.

It is clear that the minimum value of the function is -6 and 3 at x=-9 and x=6. So,

Local Minimum (x,y) = (-9,6) (smaller x-value)

Local Minimum (x,y) = (6,3) (Larger x-value)

(b)

The function is increasing on -9<x<0 and after 6.

Increasing = [tex](-9,0)\cup (6,\infty)[/tex]

The function is decreasing on 0<x<6 and before -9.

Decreasing = [tex](\infty,-9)\cup (0,6)[/tex]

Answer:

[tex]\boxed{OptionA}[/tex]

Step-by-step explanation:

More than always indicates "ADDITION". So the mathematical operation is "+".

Answer:

A. +

Step-by-step explanation:

The key word in the phrase is "more than"

That signifies an increase of value which is addition's main function

If the number that was represented in the phrase is x, then we could write out an equation

x=q+15

Answer:

Solving equations with fractional or decimal coefficients involves an extra step. To make the equation easier to solve, the first thing you want to do is turn the fractions or decimals into whole numbers. To do so, you either multiply or divide accordingly. When solving equations with integer coefficients and constants, this extra step is not necessary.

Step-by-step explanation:

Um i typed that in and it worker yay! i if it is wrong then im sorry please dont be angry.

Answer:

B. (x+2) is a factor

Step-by-step explanation:

3x^2 -x-14

3x^2+6x-7x-14

3x(x+2)-7(x+2)

(3x-7)(x+2)

so, x+2 is a factor of 3x^2-x-14

Answer:

5/3

Step-by-step explanation:

it should be y/x

you can count 5 up and 3 over

Answer:

8/5

Step-by-step explanation:

You can use the formula [tex]\frac{y_{1}-y_{2}}{x_{1}-x_{2}}[/tex] with a pair of points [tex](x_{1},y_{1})[/tex][tex](x_{2},y_{2})[/tex]. We can use points (1,4) and (-4,-4). Plugging in the equation we get (4-(-4))/(1-(-4)), which simplifies to 8/5, which is the slope.

Hey there! :)

Answer:

Choice B.

Step-by-step explanation:

Since h(x) equals (g o f)(x):

f(x) is substituted for x in the equation g(x). We can go through the answer choices and choose the most suitable choice by substitution:

A. f(x) = x, g(x) = x/ x + 1

(g o f)(x) = x / x + 1. This is incorrect.

B. f(x) = x², g(x) = x / x + 1

(g o f)(x) = x² / x² + 1. This matches h(x), so this is correct.

C. f(x) = x + 1, g(x) = 1/x²

(g o f)(x) = 1/(x² + 2x + 1). This is incorrect.

D. f(x) = x + 1, g(x) = x²

(g o f)(x) = x² + 2x + 1. This is incorrect.

Therefore, B is the correct answer.

Answer:

Step-by-step explanation:

Let x be the length and y be the width

The length is 1 inch longer than the width

So : x-1 =y

●●●●●●●●●●●●●●●●●●

The diagonal is 5 inches

The diagonal, width and length are forming a right triangle where the diagonal is the hypotenus

The Pythagorian theorem:

x^2 + y^2 = 5^2

●●●●●●●●●●●●●●●●●●●●●●●

Let's calculate y the width

The system is :

x-1 = y => x =y+1

x^2 + y^2 = 25

Replace x in the second equation with y+1 :

(y+1)^2 + y^2 = 25

y^2 + 2y + 1 + y^2 = 25

2y^2 + 2y +1 = 25

2y^2 + 2y -24 = 0

This is a quadratic equation so we will use the discriminant

●●●●●●●●●●●●●●●●●●●●●●

the discriminat is b^2-4ac

● b =2

● a = 2

● c = -24

b^2 -4ac = 4-4*2(-24) =196 > 0

Since the dicriminant is positive this equation has two solutions y and y'

y = (-2-14)/4 = -16/4 = -4

y '= (-2+14)/4 = 12/4 = 3

The first solution is negative

A distance is always positive so the first solution can't be the width

Then the width is 3

Answer:

The number of subsets of a set containing 10 elements is 2^10=1024.

Step-by-step explanation:

Answer:

1. -0.66666666666667

2. -1

3. 1.333

4. 1.5

Answer:

Pythagorean Theorem: a² + b² = c² should be used.

Step-by-step explanation:

51² + b² = 60²

b² = 60² - 51²

b = 3√111

b = 31.607

Pythagorean Theorem is used to find any missing side of a right triangle if 2 other sides are present.

Answer:

Pythagoras theorem

EXPLANATION

HYPOTHENUS SQUARE =OPPOSITE SQUARE + ADJACENT SQUARE

i.e 60^2= 51^2+x^2

i.e 3600=2601+x^2

collecting like terms we have

3600-2601=x^2

999=x^2

√999=x

x=31.6

Answer:

The expressions are not equivalent.

Step-by-step explanation:

The answers would be 196 and 193 for t = 8

The answers would be 76  and 73 for t = 3

Answer:

840 female students

Step-by-step explanation:

The total percentage of students is 100%, so, the percentage of female  students = 100% - 47.5%

=52.5%

Multiply the total no. of students by the percentage to get the no. of female students.

1600 x 52.5%

= 840 female students

You can also obtain the same answer by first multiplying the male percentage to find the no. of male students, then subtracting it from the total 1600.

Answer:

The area of trapezium is (x+11) cm².

Step-by-step explanation:

Given that the formula of area of trapezium is :

[tex]area = \frac{1}{2} \times (a + b) \times h[/tex]

In the formula, a and b represents the length of trapezium and h is the height. So you have to substitute the following expressions into the formula :

[tex]let \: a = 5 \\ let \: b = x + 6 \\ let \: h = 2[/tex]

[tex]area = \frac{1}{2} \times (5 + x + 6) \times 2[/tex]

[tex]area = \frac{1}{2} \times 2 \times (x + 11)[/tex]

[tex]area = 1 \times (x + 11)[/tex]

[tex]area = (x + 11) \: {cm}^{2} [/tex]

Answer:

Area  = x+11

Step-by-step explanation:

[tex]A = \frac{1}{2} (a+b)h\\Base =5\\Height =2\\Base =x+6\\A = \frac{5+(x+6)}{2} \times 2\\A = \frac{5+x+6}{2} \times 2\\ A =\frac{x+11}{2} \times 2\\Area= x+11[/tex]

Answer:

Step-by-step explanation:

Hello,

we can notice that

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

so 1 is the missing constant term to get a perfect square

hope this helps

Answer:

1 i got same khan quiz

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

2) b = 9

3) c = 5

4) d = 5

5) e = 12

6) f = 10

7) g = 16

8) h =6

9) i = 4

10) j = 4

11) k =5

12) l = 7

13) m = 3

14) n = 7

15) o = 4

16) p = 15

17) q = 15

18) r = 12

19) s = 15

▹ Step-by-Step Explanation

2) b - 1 = 8 → 1 + 1 = crossed out 8 + 1 = 9 → b = 9

3) c + c = 10 → c has to be the same so, 5 + 5 = 10 → c = 5

4) d + 6 = 11 → 6 - 6 = crossed out 11 - 6 = 5 → d = 5

5) e - 5 = 7 → 5 + 5 = crossed out 7 + 5 = 12 → e = 12

6) f + f + f = 30 → f has to be the same so, 10 + 10 + 10 = 30 → f = 10

7)  1/2 g = 8 → 8 ÷ 1/2 = 16 → g = 16

8) 2h = 12 → 2 ÷ 2 = h 12 ÷ 2 = 6 → h = 6

9) i + 9 = 13 → 9 - 9 = crossed out 13 - 9 = 4 → i = 4

10) 14 - j = 10 → 14 - 10 = 4 10 - 10 = crossed out → j = 4

11) 3k = 15 → 3 ÷ 3 = k 15 ÷ 3 = 5 → k = 5

12) 11 - l = 4 → 11 - 4 = 7 4 - 4 = crossed out → l = 7

13) 2m - 1 = 5 → 5 - 1 = 4 → 2m = 4 → 4 ÷ 2 = 2 → m = 2

14) 2n + 1 = 15 → 15 - 1 = 14 → 2n = 14 → 14 ÷ 2 = 7 → n = 7

15) 6o = 24 → 24 ÷ 6 = 4 → o = 4

16) p ÷ 3 = 5 → 5 * 3 = 15 → p = 15

17) q ÷ 5 = 3 → 3 * 5 = 15 → q = 15

18) r + 4 = 16 → 4 - 4 = crossed out 16 - 4 = 12 → r = 12

19) 20 - s = 5 → 20 - 5 = 15 → s = 15

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Step-by-step explanation:

2) b-1=8

b =8+1= 9

3) c+c=10

2c=10

divide both sides by 2

c=5

4) d-6= 11

d=11+6=17

5) e-5=7

e= 7+5=12

6) f+f+f=30

3f=30

f=10

7) 1/2g=8

divide both sides by 1/2

g=16

8) 2h= 12

divide both sides by 2

h=6

9) i+9=13

i= 13-9

i=4

10) 14-j=10

-j=10-14

-j= -4

divide both sides by-1

j=4

11) 3k=15

divide both sides by 3

k=5

12) 11-I=4

-I=4-11

-I= -7

divide both sides-1

I=7

13) 2m-1=5

2m=5-1

2m=4

divide both sides by 2

m=2

14) 2n+1=15

2n=14

divide both sides by 2

n=7

15) 6o=24

divide both sides by 6

o=8

16)p/3=5

multiply both sides by the multiplcative inverse of 1/3 which is 3

p=15

17) q/5=3

multiply both sides by 5 (multiplcative inverse)

q=15

18)r+4=16

r=16-4

r=12

19) 20-s=5

-s=5-20

-s= -15

divide both sides by-1

s=15

Answer:

Step-by-step explanation:

We khow that the equation of a circle is written this way :

(x-a)²+(y-b)²=r² where (x,y) are the coordinates of the cercle's points and (a,b) the coordinates of the cercle's center and r the radius .

Our task is to khow the values of a and b :

Answer:

7x+10 cm

Step-by-step explanation:

To find the perimeter add up all the sides

There are 5 sides

3x+ 5+ 2x+2x+5

Combine like terms

3x+2x+2x   +5+5

7x + 10

The perimeter is 7x+10 cm

Answer: (13 + y)/5

Step-by-step explanation:

13+y is used to determine the actual number of jewelry being split, and /5 is to divide the total jewelry among each sister.

Also, pls look at this https://brainly.com/question/11254684

Answer:

Hey there!

The correct answer would be [tex]\frac{13+y}{5}[/tex] . The total amount of jewelry the grandmas gave was 13+y.  Dividing that evenly among five people would give you the answer.