Given m || n, find the value of x and y.
(3x-4)
(6x-5)

Answers

Answer 1

Answer:

Answer:

X=21 and Y=121

Step-by-step explanation:

With these types of problems, we need to know our vertical angles and that lines are 180° when two angles on a line are next to each other.

To solve this problem algebraically we want to add (3x-4) and (6x-5) together so that they equal 180. The reason we do this is that they lie on the same line which is 180°. The equation would look like $3x+6x-5-4=180$ . We then want to add like terms which will leave us with $9x-9=180$ . Now we want to get 9x by itself by adding 9 on each side which leaves us with $9x=189$ . To isolate x we need to divide on each side by 9 which finally leaves us with $x=21$

Now that we have the value of x (21) we can now utilize our knowledge of vertical angles (angles that are completely across and equal to one another.) We can find y by doing this equation: $y=6x-5$ and with the value of x found we can plug in the value to get $y=6(21)-5$ which simplifies to $y=126-5$ then to $y=121$ .

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Answers

Answer:

Please see attachment

Step-by-step explanation:

Please see attachment

Therese is throwing a party and wants to make goodie bags. She has 26 lollipops and 14 tootsie rolls. What is the greatest amount of goodie bags can she make? How many lollipops will be in each? How many tootsie rolls?

Answers

She can make 2 goodie bags.

13 lollipops

17 tootsie rolls

The GCF (greatest common factor) of 26 and 14 is 2; therefore making the greatest number of goodie bags she can make is 2.

If you divide both the numbers (26,14) by 2, you get 13 and 17.

Please mark branliest if this helped

PLEASE HELP!A farmer wanted to paint a shed out in his field. Here is the breakdown of the dimensions: the building is sitting on a square slab of cement that is 10' x 10'. It is 8 feet from the bottom of the shed to the bottom of the roof on the edge, and 10 feet from the bottom of the shed to the top of the very tip top of the roof. So A = 10, B = 8 and C = 10. Using the formula for the area of a rectangle, A = l x w and the area of a triangle, 1/2(bh), b is base and h is height, then find the total area that needs to be painted. Total area =

Answers

Answer:

340 square feet

Step-by-step explanation:

If we "unwrap" the painted surface from the shed, it will have the shape shown in the attachment. It is essentially a 40' by 8' rectangle with two 10' wide by 2' high triangles added.

The rectangle area is ...

A = LW = (40 ft)(8 ft) = 320 ft²

The total area of the two triangles is ...

A = 2(1/2)bh = (10 ft)(2 ft) = 20 ft²

Then the painted area is ...

total area = 320 ft² +20 ft²

total area = 340 ft²

How is dividing and multiplying with an area model similar and How is it different?

Answers

Answer:

In multiplication the numbers you multiply are called factors; the answer is called the product. In division the number being divided is the dividend, the number that divides it is the divisor, and the answer is the quotient.

Solve for the area of ΔABC to the nearest whole number. A) 13 cm2 B) 26 cm2 C) 53 cm2 D) 106 cm2