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Natasha2012 [34]
3 years ago
5

Given that line AD is the angle bisector of

Mathematics
1 answer:
Julli [10]3 years ago
7 0

Step-by-step explanation:

3x+1 = 5x-1

3x+2= 5x

2x= 2

x= 1

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35,911 divided by 188 with a remainder
klemol [59]

Answer:

Step-by-step explanation:

It is 191 remainder 3

8 0
3 years ago
Read 2 more answers
If length and width of a rectangle are in the ratio 4 to 5 and the perimeter of the rectangle is 144, find the dimensions of the
Zinaida [17]

Answer:

So dimension of rectangle are :

Length =  32

Width =  40

Step-by-step explanation:

Let the length of rectangle be 4x and width of rectangle be 5x.

Remember ratio of length and width is 4 to 5.

Perimeter of rectangle is given as 144.

i.e 2 (length +width) = 144

or 2 ( 4x + 5x ) = 144

Solving this for x, we get :

or 9x = 144/2

or 9x = 72

or x = 72/9

or x = 8

So dimension of rectangle are :

Length = 4 x = 4*8 = 32

Width = 5x = 5*8 = 40

3 0
4 years ago
Adam and Tom share a sum of money in the ratio 18:17
Digiron [165]

x = total amount split between Adam and Tom.

since we know the total amount split between both in a 18 : 17 ratio is "x", let's divide "x" by (18 + 17) and distribute accordingly to get the amount of each.

\stackrel{Adam~received}{18\cdot \cfrac{x}{18+17}}\qquad \qquad \stackrel{Tom~received}{17\cdot \cfrac{x}{18+17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that Adam got "5" more}}{ \stackrel{Adam}{18\cdot \cfrac{x}{18+17}}~~ = ~~\stackrel{Tom}{17\cdot \cfrac{x}{18+17}~~ + ~~5} }\qquad \implies \qquad \cfrac{18x}{35}~~ + ~~\cfrac{17x}{35}+5

\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{35}}{35\left( \cfrac{18x}{35} \right)~~ = ~~35\left( \cfrac{17x}{35}+5 \right)}\implies 18x~~ = ~~17x+175\implies \boxed{x =175} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Tom~received}{17\cdot \cfrac{x}{18+17}}\implies \cfrac{17(175)}{35}\implies \blacktriangleright 85 \blacktriangleleft

5 0
2 years ago
Wilson purchased a notebook for class for $5. He also purchased x pens for 1.50 each. Write the linear function to model Wilson'
Romashka-Z-Leto [24]

Answer:

p=1.5x+5

Step-by-step explanation:

Let the total purchase be given as 'p' dollars.

Given:

Price of a notebook = $5

Price of a pen = $1.50

Number of pens purchased = 'x'

Number of notebooks purchased = 1

So, cost of 'x' pens can be obtained using unitary method and is given as the product of price per pen and number of pens.

So, price of 'x' pens = Price per pen \times Number of pens

Price of 'x' pens = 1.50\times x=1.5x

Now, total purchase price will be equal to the sum of the price of a notebook and price of 'x' pens.

Therefore, the total purchase price is given as:

Total price = 1 notebook price + 'x' pens price

⇒ p=5+1.5x\ or\ \\p=1.5x+5

3 0
3 years ago
Am I right so far???
Hoochie [10]
It's looks like it ! 

You are doing wonderful ! 

4 0
3 years ago
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