A (0,0) B(-6,0)
C (-6, 3)
(x,y) - (x + 6, y + 3)

Given:

A figure of a parallelogram.

The vertex angles are [tex](12b+8)^\circ,(5b+2)^\circ,2a^\circ[/tex].

To find:

The values of a and b.

Solution:

We know that the pairs of consecutive angles of a parallelogram are supplementary angles. It mean their sum is 180 degrees.

[tex](12b+8)^\circ+(5b+2)^\circ=180^\circ[/tex]       (Supplementary angles)

[tex](17b+10)^\circ=180^\circ[/tex]

[tex]17b+10=180[/tex]

Subtract 10 from both sides.

[tex]17b=180-10[/tex]

[tex]17b=170[/tex]

Divide both sides by 17.

[tex]b=\dfrac{170}{17}[/tex]

[tex]b=10[/tex]

Now,

[tex](5b+2)^\circ=(5(10)+2)^\circ[/tex]

[tex](5b+2)^\circ=(50+2)^\circ[/tex]

[tex](5b+2)^\circ=52^\circ[/tex]

And,

[tex](5b+2)^\circ+2a^\circ=180^\circ[/tex]       (Supplementary angles)

[tex]52^\circ+2a^\circ=180^\circ[/tex]

[tex]2a^\circ=180^\circ-52^\circ[/tex]

[tex]2a^\circ=128^\circ[/tex]

Divide both sides by 2.

[tex]a^\circ=\dfrac{128^\circ}{2}[/tex]

[tex]a^\circ=64^\circ[/tex]

[tex]a=64[/tex]

Therefore, the value of a is 64 and the value of b is 10.

Answer:

26 and 55

Step-by-step explanation:

Answer: 5+21 = 26 and 54+1=55

Step-by-step explanation: You add 21 + 5, to get 26. same for the other.

Answer:

Step-by-step explanation:

Given equation:

To solve this, express each side of the equation as different function and find the intersection of graphs of those functions:

As per graph, the solution is:

Break into two parts

Now graph and find the solution

Answer:

https://brainly.com/question/23106827?answeringSource=feedPublic%2FhomePage%2F4

Step-by-step explanation:

Answer:

A = 28.26

C = 18.84

Step-by-step explanation:

A = [tex]\pi r^{2}[/tex]

C = 2[tex]\pi r[/tex]

A = 3.14 x 3 x 3 = 28.26

C = 2 x 3.14 x 3 = 18.84

Let me know if this helps!

hello

i think so...

hope it helps

have a nice day

P1(x) - P2(x) = -0.01x² + 4x + 200

This shows that P1(x) profit is less than P2(x).

P2(x) - P1x = 0.01x² - 4x - 200

This shows that P2(x) profit is more than P1(x).

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

Plant 1:

P1 (x) = -0.03x² + 25x - 1500

Plant 2:

P2 (x) = -0.02x² + 21x - 1700

P1(x) - P2(x):

= -0.03x² + 25x - 1500 - (-0.02x² + 21x - 1700)

= -0.03x² + 25x - 1500 + 0.02x² - 21x + 1700

= -0.01x² + 4x + 200

For any x value, we will get a negative value.

This means,

P1(x) profit is less than P2(x).

P2(x) - P1x:

= -0.02x² + 21x - 1700 - (-0.03x² + 25x - 1500)

= -0.02x² + 21x - 1700 + 0.03x² - 25x + 1500

= 0.01x² - 4x - 200

For any x value, we will get a positive value.

This means,

P2(x) profit is more than P1(x).

Thus,

P1(x) - P2(x) shows that P1(x) profit is less than P2(x).

P2(x) - P1x shows that P2(x) profit is more than P1(x).

Learn more about polynomials here:

https://brainly.com/question/2284746

#SPJ2

Answer:

648 cm³

Step-by-step explanation:

For Cuboid

l = 12cm

b = 9cm

h = 6cm

Now, The volume of a cube is

l × b × h

12 × 9 × 6 cm

108 × 6 cm

648 cm³

Thus, The volume of a cuboid 12cm long 9 sm broad and 6 cm high is 648 cm³

-TheUnknownScientist

Answer:

Step-by-step explanation:

In verse variation would be 3  = k / 2.4   so k  = 7.2

So we have  y = 7.2 / 5  = 1.44

Answer is 1.44.

Answer:

Hence, the value of y is:

1.44

Step-by-step explanation:

It is given that:

The pair of points is on the graph of an inverse variation.

(2.4, 3) and (5, y)

We have to find the missing value y in the point.

As we know that in the inverse variation the value of y is the inverse value of x by some k.

i.e. in first point (2.4,3) let 'k' be a number such that:

Hence, the inverse is k=7.2

Now in the second point (5,y) we find the value of y as:

Hence, the value of y is:

1.44

Variation can be direct, inverse, joint or combined.

The missing value of y is (b) 1.44

The points are said to represent inverse variation.

So, we have:

[tex]x_1 \times y_1 = x_2 \times y_2[/tex]

Substitute x and y values in the equation

[tex]2.4 \times 3 = 5\times y_2[/tex]

Multiply 2.4 and 3

[tex]7.2= 5\times y_2[/tex]

Divide both sides by 5

[tex]1.44 = y_2[/tex]

Rewrite as:

[tex]y_2 = 1.44[/tex]

Hence, the missing value of y is (b) 1.44

Read more about inverse variations at:

https://brainly.com/question/1327394

Answer:

x = 11

Step-by-step explanation:

Hello!

Here we are given a long division question.

The first thing I would do is see how many times the term of the highest degree in the divisor could go into the term of the highest degree in the dividend, which would be 3.

Then, we could already see that the divisor's degree would be higher than that of the dividend, so the rest would go in the remainder over the divisor.

[tex]\frac{18x^2+5x+5}{6x^2-4x+1}[/tex]

[tex]3+\frac{17x+2}{6x^2-4x+1}[/tex]

Hope this helps!

Answer:

This is it trust me

Step-by-step explanation:

I just took it and got a 100

Answer:

The quotient of the rational function is [tex]3 -\frac{1}{x+2}[/tex].

Step-by-step explanation:

We proceed to solve the expression by solely algebraic means below:

1) [tex]\frac{3\cdot x + 5}{x+2}[/tex] Given

2) [tex]\frac{(3\cdot x + 5) + 0}{x + 2}[/tex] Modulative property

3) [tex]\frac{(3\cdot x +5) + [1+(-1)]}{x+2}[/tex] Existence of additive inverse/Associative property

4) [tex]\frac{(3\cdot x + 6)+(-1)}{x+2}[/tex] Definition of addition/Commutative and associative properties

5) [tex]\frac{3\cdot (x+2)}{x+2} + \left(-\frac{1}{x+2} \right)[/tex]   [tex]\frac{a+b}{c} = \frac{a}{c} + \frac{b}{c}[/tex]/ [tex]\frac{-a}{b} = \frac{a}{-b} = -\frac{a}{b}[/tex]/Distributive property

6) [tex]3 -\frac{1}{x+2}[/tex] Definition of division/Existence of multiplicative inverse/Modulative property/Definition of subtraction/Result

The quotient of the rational function is [tex]3 -\frac{1}{x+2}[/tex].

Answer:

384 cubic inches

Step-by-step explanation:

For this problem, we simply need to apply the volume formula for a box. The volume is length times width times height.

We are given length = 12 inches

We are given width = 8 inches

We are given tall(height) = 4 inches

So let's Calculate the volume.

Volume = Length * Width * Height

Volume = 12 inches * 8 inches * 4 inches

Volume = 384 cubic inches

Hence, the volume of the box is 384 cubic inches.

Cheers.

Answer:

439.6

Step-by-step explanation:

r times 2 (Because 70 is half of the...)=140 times pie or just round it to 3.14

So= 70 times 2 times 3.14

Answer:

611

Step-by-step explanation:

The mean is 632.9 which is a lot higher than 611, and is actually higher than the penultimate value 632, and if presented as a general single value, it may mislead customers into thinking that the sandwiches have a high calorific value. We don’t know how many sandwiches of different types there are, and there may only be a few with high values. So I would use the median 611 as a typical value for the number of calories.

Answer:

$16/5tickets

Step-by-step explanation:

it be in simplest form mate.

Answer:

D

Step-by-step explanation:

Answer:

[tex]5a^8[/tex]

Step-by-step explanation:

[tex]\frac{25a^9}{5a}[/tex]

[tex]=5a^8[/tex]

Answer:

A & C & F

Step-by-step explanation:

i did this just now i got it right!

Answer:

Step-by-step explanation:

The square root of 9 is 3, while the square root of 4 is 2

3 x 2 = 6

So

A is true

B is true

C is true because we can multiply the two terms of the root and mantain the same root. In fact √36 = 6

D is wrong because the result of the expression is not 6

E is wrong for the same reason of D

F wrong because the result of the expression is 12

Step-by-step explanation:

30/42 = 25/6x-1

180x - 30 = 1050

180x = 1020

x = 5.67

Answer:

i think its 2-/+ [tex]\sqrt{42}[/tex] not sure though sorry

Step-by-step explanation:

Answer:

a= 3 w- 1

Step-by-step explanation:

Answer:

A=12[tex]u^{2}[/tex]

Step-by-step explanation:

A=bh/2

A=(4)(6)/2

Answer:

13. (E) all of the above 14. (E) the diagonals bisect the angles at the vertices

Step-by-step explanation: