Find the missing angle in this triangle

Answer:

The answer is below

Step-by-step explanation:

Plotting the following constraints using the online geogebra graphing tool:

x + 3y ≤ 9         (1)

5x + 2y ≤ 20    (2)

x≥1 and y≥2      (3)

From the graph plot, the solution to the constraint is A(1, 2), B(1, 2.67) and C(3, 2).

We need to minimize the objective function C = 5x + 3y. Therefore:

At point A(1, 2): C = 5(1) + 3(2) = 11

At point B(1, 2.67): C = 5(1) + 3(2.67) = 13

At point C(3, 2): C = 5(3) + 3(2) = 21

Therefore the minimum value of the objective function C = 5x + 3y is at point A(1, 2) which gives a minimum value of 11.

Answer:

B

Step-by-step explanation:

y=e^x+3

Answer:

Answer 3.0/528 claudiasai 88-2n + 2927,25,23,21,19- 2 difference- 2n + 29-2 x (1 ) + 29 =27-2 x (3) +29 =23

Step-by-step explanation:

Write a recursive formula for each sequence. 3. 1, 6, 11, 16, ... SOLUTION: ... Check for a common ratio by dividing each term by the term that precedes it. = 3 ;. = 3 ; ... 19. 100, 80, 64, 51.2, ... SOLUTION: Subtract each term from the term that follows it. ... Patrick thinks that the sequence can be written as a recursive formula​.

Answer:

[tex]a_{n}[/tex] = 27 - 8n

Step-by-step explanation:

There is a common difference between consecutive terms, that is

11 - 19 = 3 - 11 = - 8

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 19 and d = - 8 , then

[tex]a_{n}[/tex] = 19 - 8(n - 1) = 19 - 8n + 8 = 27 - 8n ← general rule

(4a³+6a²-10a-4)+(6a²+a²+a+7)

(4a³+6a³)+(6a²+a²)+(-10a+a) + (-4+7)

10a³+7a²-9a+3

OPTION D is the correct answer

Answer:

option d is the correct answer

I hope it helped U

stay safe stay happy

Answer:

2) is not proportional, 3) is not proportional, 5) is proportional, 6) is not proportional.

Step-by-step explanation:

Number 2 is not proportional since it doesn't go through the origin on the graph and the line is not a straight line.

Number 3 does not go through the origin, so number 3 is also not proportional.

Number 5 is proportional since when you divide y by x, it is always 7.

Number 6 is not proportional because when you divide y by x or x by y there are not the same answers.

Answer:

In the questions you are asked to evaluate by substituting the variables to the given number.

PLZ EXCUSE MY HANDWRITING.

Answer:

The solution is (5, 3)

Step-by-step explanation:

To solve this system of linear equations, let's use elimination by addition and subtraction.  This approach is particularly easy because one equation already has +y and the other -y, summing up to zero:

4x+y=23

3x-y=12

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

7x   = 35

Then x must be 5.  

Substituting 5 for x in the first equation, we get

4(5) + y = 23.  Then 20 + y = 23, or y = 3.

The solution is (5, 3)

Answer:

5P5 × 20P15

Step-by-step explanation:

i think...

sorry if im wrong

good luck

Answer:

y=-1/2x-4

Step-by-step explanation:

Hi there!

We're given the equation x+2y=14 and we want to find a line that is parallel to it and passes through (-8,0)

Parallel lines have the same slopes, but different y intercepts.

So let's find the slope of x+2y=14

we do this by converting x+2y=14 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept).

for x+2y=14, to convert to slope-intercept form, start by subtracting x from both sides

2y=-x+14

divide both sides by 2

y=-1/2x+7

so the slope of x+2y=14 is -1/2

The slope of the new line (the one parallel to x+2y=14 and passes through (-8,0) will also have a slope of -1/2).

Here's the equation of that line so far:

y=-1/2x+b

we need to find b (y intercept)

as the equation will pass through (-8,0), we can use it to solve for b

substitute -8 as x and 0 as y

0=-1/2(-8)+b

multiply

0=4+b

subtract 4 from both sides

-4=b

substitute into the equation

y=-1/2x-4

Hope this helps! :)

Answer:

The answer is 4/7 and the property used is the distributive property

Step-by-step explanation:

Recall from the distributive property;

a * (b + c) = ab + ac

Applying same here, we have it that;

4/7 (-3/5 + 8/5)

= 4/7 * ((-3 + 8)/5)

= 4/7 * 5/5

= 4/7 * 1 = 4/7

Answer:

130°

Step-by-step explanation:

angle TFM + angle MFD = 180° (being a linear pair)

or, 4m + 142° +2m + 56°= 180°

or, 6m= 180°- 198°

or, m= -18°/6

so, m= -3°

now, angle TFM = 4m +142°= -12°+142°= 130°

Answer:

see explanation

Step-by-step explanation:

(a)

The consecutive angles are supplementary, sum to 180° , then

3y + 2y - 5 = 180

5y - 5 = 180 ( add 5 to both sides )

5y = 185 ( divide both sides by 5 )

y = 37

Then ∠ A = 3y = 3 × 37 = 111

The opposite angles are congruent , then

3x + 3 = 111 ( subtract 3 from both sides )

3x = 108 ( divide both sides by 3 )

x = 36

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

(b)

The diagonals bisect each other , so

x + 8 = 16 - x ( add x to both sides )

2x + 8 = 16 ( subtract 8 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

and

5y + 4 = 2y + 13 ( subtract 2y from both sides )

3y + 4 = 13 ( subtract 4 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

Answer:

a

Step-by-step explanation:

1/2 of 10 is 5

Answer: b

Step-by-step explanation:

there are 6 numbers on a regular dice. 3 even, 3 odd

Answer:

2 cm²

Step-by-step explanation:

Perimeter of a rectangle = perimeter of a square + perimeter of a square

2 congruent squares, side by side

The perimeter of the two squares = 6*sidelength.

Perimeter of a rectangle = 6 cm

The perimeter of the two squares = 6 * length

= 6l

Perimeter of a rectangle = The perimeter of the two squares

6 = 6l

l = 6/6

l = 1

Length = 1 cm

What is the total area of the squares.

Area of a square = lenght²

Area of two squares = 2(length ²)

= 2(1²)

= 2(1)

= 2 cm²

Hello,

Perimeter of a rectangle : 2 * (length + width)

Area of a rectangle : length * width

We know that the perimeter of the rectangle is equal to 10 feet and its area is equal to 6 square feet.

Let's call x the length of the rectangle and y the width of the rectangle. The pair (x ; y) verifies the following system :

2 (x + y) = 10 ⇔ x + y = 5 ⇔ x = 5 - y

x * y = 6 ⇔ (5 - y) * y = 6 ⇔ 5y - y² - 6 = 0 ⇔ y² - 5y + 6 = 0

⇔ y² - 3y - 2y + 6 = 0 ⇔ y(y - 3) - 2(y - 3) = 0 ⇔ (y - 2)(y - 3) = 0

⇔ y = 2 ou y = 3

x = 5 - y ⇔ x = 5 - 2 or x = 3 - 2 ⇔ x = 3 or y = 2

S = {(3 ; 2) ; (2 ; 3)}

The width of the rectangle is 2 or 3 feet.

:-)

Answer:

slope = [tex]\frac{2}{7}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (4, 4)

m = [tex]\frac{4-2}{4-(-3)}[/tex] = [tex]\frac{2}{4+3}[/tex] = [tex]\frac{2}{7}[/tex]

Answer:

= 2

7

Step-by-step explanation:

slope = y2 - y1

x2 - x1

=4 - 2

4 - -3

= 2

7

y - 4 = 2

x - 4 7

7(y - 4) = 2(x - 4)

7y - 28 = 2x - 8

7y = 2x - 8 + 28

7y = 2x + 20

7 7 7

Gradient = 2

7

Answer:

2x^3-2x^2+6x

Step-by-step explanation:

The area of a rectangle is

A = l*w

A = ( x^2 -x+3) * (2x)

Multiply

A = x^2 *2x -x*2x +3 *2x

A = 2x^3-2x^2+6x

Answer:

AB: 3

BC: 5

CD: 3

DA: 5

Step-by-step explanation:

You’re welcome

Answer:

angle degrees is 60

so the answer would be A

Step-by-step explanation:

because there are 6 sides, 360 is divided by 6.

Answer:

The correct value is t* = 2.492.

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 25 - 1 = 24

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.492, which is the answer to this question.

Answer:

- 2/5

Step-by-step explanation:

(3/5 + 1/5) + (4/5 - 2/5) = 6/5

6/5 - (9/5-1/5) = - 2 /5

The system of linear inequalities is represented by the graph is y < x – 2 and y > x + 1

The equation of a line is expressed as y = mx + b

For the blue line;

m = 1

Since the line cuts the line at y = 1, hence the y-intercept is 1

The required equation of the red line will be y > x + 1

For the red line;

m = 1

Since the line cuts the line at y = -2, hence the y-intercept is -2

The required equation of the red line will be y < x - 2

Hence the system of linear inequalities is represented by the graph is y < x – 2 and y > x + 1

Learn more on inequality graph here: https://brainly.com/question/9774970

Answer:

B Or y < x – 2 and y > x + 1

Step-by-step explanation:

y < x – 2 and y > x + 1

Answer:

[tex]mSQR=1/2m~SR\\[/tex]

[tex]75=1/2m~SR[/tex]

[tex]mSR=150[/tex]

[tex]360=SR+QR+QS[/tex]

[tex]mQR=360-150-133[/tex]

[tex]mQR=77[/tex]

[tex]So, B ~ is ~ your~ answer[/tex]

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

hope it helps...

have a nice day!

Answer: A, B, C

Step-by-step explanation:

AC is half of AB, so AB = 2AC

1/2 of AB will be AC, and AB

AC = CB

The lengths of the horizontal sides of the science class is larger than the

length of the horizontal side of the math class.

Reasons:

The given vertices of the science classroom are;

(-3·x₁, y₁), (-3·x₂, y₂), (-3·x₃, y₃), and (-3·x₄, y₄)

The coordinates of the vertices math classroom are;

(x₁, y₁), (x₂, y₂), (x₃, y₃), and (x₄, y₄)

Whereby x₁ = x₄, we have;

Length of the vertical side of the rectangular math class = y₁ - y₄

Length of the horizontal side, [tex]L_M[/tex] = x₂ - x₁

Similarly;

The length of the horizontal side of the science class is, [tex]L_S[/tex] = -3·x₂ - (-3·x₁)

Therefore;

[tex]L_S[/tex] = 3·(x₁ - x₂) = [tex]\mathbf{3 \cdot L_M}[/tex]

The length of a side of the science is three times the length of the side of

the math class, which gives that the dimensions of the science class are not

the same as the the dimensions of the math class.

Therefore;

The science class and the math class are not congruent

Learn more about non-rigid transformation here:

https://brainly.com/question/2396426

Answer:

Oppositeleg

adjacenleg

Answer:

option 1

Step-by-step explanation:

Just remember this to get the trigonometric ratio in a right triangle :

    Old Henry And His Old Aunt

O for opposite

H for hypotenuse

A for Adjacent

Sin = O/ H

Cos = A /H

Tan = O /A

Answer:

D

Step-by-step explanation:

Have a great summer :)

Answer:

C

Step-by-step explanation:

The slope is negative, so we can exclude the graph A and D

If we substitute y with 2 and x with -3 we have

2 = -4/3 (-3) -2

2 = 4 - 2

2 = 2

the equality is verified so C is the answer