simplify fully: 12/5b² + 3/10ab​

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 is 20 and 240

Unitary Method :

The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.

Here, for 1 gallons 20 miles are travelled and for 2 gallons 40 miles. so on.

So, here the multiplication factor is 20.

i.e., the miles travelled are 20 times the gallons used.

Now, 1 gallon, 20 miles are travelled, then for 12 gallons, the miles travelled are 20 miles * 12 = 240 miles.

Learn more about Unitary method here:

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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:

No, it is (7,1).

Step-by-step explanation:

x=6+y

2x-10y=4, and further solve.

Answer:

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

Step-by-step explanation:

Answer:

[tex]36 \times 12 \times 23 = 9936 \\ 9936 \div ( {12}^{3} ) = 5.75[/tex]

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:

D

Step-by-step explanation:

Answer:

SVU = 90

TUV = 65

Step-by-step explanation:

Answer:

sorry if it's messy, I tried my best even though I'm not sure for ST.

Answer:

[tex]5a^8[/tex]

Step-by-step explanation:

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

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

Answer:

x = 90°

Step-by-step explanation:

This is very simple. Any triangle embedded in a circle with it's long side as the diameter is a right triangle. Thus, x = 90°.

Answer:

A

Step-by-step explanation:

Answer:

The 1947 Presidential Succession Act. An Act to ensure that the President's duties are carried out in the event that the President and Vice President are both removed, resign, die, or become incapacitated.    If the vice presidency is vacant at the same time as the presidency, or if the vice president is also incapacitated, the powers and duties of the presidency pass to the speaker of the House of Representatives, president pro tempore of the Senate, and then Cabinet secretaries, in that order, depending on eligibility.

Step-by-step explanation:

Answer:

1080

Step-by-step explanation:

Answer:

90 Cubic Inches

Step-by-step explanation:

I believe that the answer is 90 because Volume is calculated by doing Length x Width x Height (X is Multiplication) so if you multiply 10 x 6 x 1.5 which would end up with the end result of 90. If you find any fault in my answer please let me know. Thanks. Have a good day!

Step-by-step explanation:

Answer from: Quest

the answer is thin because within context, the stanza concludes the and frail tone the people have toward each other, and the fact that it would be thin, makes the most sense compared to "pliable" or "not hard or firm to the touch". hope this , good luck.

step-by-step explanation:

can i have brainliest

Answer: For the cost of three pounds: 11.25 !

Answer: Cost of P Pounds: 4.75 p- 3 !

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:

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:

the equation?

Step-by-step explanation:

01110101010011101101000111011101010101010101010110

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:

Monday

Step-by-step explanation:

please mark me brainliest

Answer:

5x8=40

Step-by-step explanation:

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.