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3 years ago

What is my assignment on here

Mathematics

1 answer:

Andrews [41]3 years ago

4 0

Your assignment is mathematics?

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I really need help asap!!

Firdavs [7]

Given:

A figure of a parallelogram.

The vertex angles are $(12b+8)^\circ,(5b+2)^\circ,2a^\circ$ .

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.

$(12b+8)^\circ+(5b+2)^\circ=180^\circ$ (Supplementary angles)

$(17b+10)^\circ=180^\circ$

$17b+10=180$

Subtract 10 from both sides.

$17b=180-10$

$17b=170$

Divide both sides by 17.

$b=\dfrac{170}{17}$

$b=10$

Now,

$(5b+2)^\circ=(5(10)+2)^\circ$

$(5b+2)^\circ=(50+2)^\circ$

$(5b+2)^\circ=52^\circ$

And,

$(5b+2)^\circ+2a^\circ=180^\circ$ (Supplementary angles)

$52^\circ+2a^\circ=180^\circ$

$2a^\circ=180^\circ-52^\circ$

$2a^\circ=128^\circ$

Divide both sides by 2.

$a^\circ=\dfrac{128^\circ}{2}$

$a^\circ=64^\circ$

$a=64$

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

5 0

3 years ago

The Thomas family went for a Sunday drive. Before they left, Mr. Thomas noticed the gas tank was ¾ full. When they returned home

JulijaS [17]

Answer:

7.5 gallons

Step-by-step explanation:

Given:

The Thomas family went for a Sunday drive.

Before they left, Mr. Thomas noticed the gas tank was ¾ full.

When they returned home the gas tank was ⅓ full.

Total capacity of the gas tank = 18 gallons

Question asked:

How many gallons of gas did the car use on the drive?

Solution:

Before they left, quantity of gas in the tank = $\frac{3}{4} \times18=\frac{54}{4} =13.5\ gallons$

When they returned, quantity of gas in the tank = $\frac{1}{3} \times18=\frac{18}{3} =6\ gallons$

Quantity of gas used on the drive = 13.5 - 6 = 7.5 gallons

Therefore, 7.5 gallons of gas used on the drive by Thomas family.

4 0

2 years ago

Number one on wednesdsay 90>-9(w+3)

gtnhenbr [62]

-13<w because 9*w and 9*3 = 90>-9w-27 then add 27 and get 117>-9w then divide and get -13<w

4 0

3 years ago

Find the product of x^2(4x-3)

TEA [102]

Answer:

4 x^3 - 3 x^2

Step-by-step explanation:

Expand the following:

x^2 (4 x - 3)

x^2 (4 x - 3) = x^2×4 x + x^2 (-3):

4 x^2 x - 3 x^2

x^2×4 x = x^(2 + 1)×4:

4 x^(2 + 1) - 3 x^2

2 + 1 = 3:

Answer: 4 x^3 - 3 x^2

8 0

3 years ago

Read 2 more answers

What is the solution to the equation x/-3=4? A)x=-7 B)x=-4/3 C) x=-1 D)x=-12

pav-90 [236]

d) x=-12 because x/-3=4 can be rearranged as x=4x-3 so x=-12

7 0

3 years ago