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nata0808 [166]
2 years ago
15

If AY parallel to CX, then find ∠ABCplease help!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
romanna [79]2 years ago
8 0

Answer:

60°

Step-by-step explanation:

Through point B draw a line m || AY || CX and take two points say E and F on left and right side of point B respectively.

Therefore,

m∠FBC + m∠XCB = 180°..(By interior angle property)

m∠FBC + 130° = 180°

m∠FBC = 180° - 130°

m∠FBC = 50°....(1)

Next,

m∠ABF = m∠BAY... (Alternate angles)

m∠ABC + m∠FBC = 110°

(since, m∠ABF = m∠ABC + m∠FBC)

m∠ABC + 50° = 110° (From equation 1)

m∠ABC = 110° - 50°

\huge \purple {\boxed {m\angle ABC = 60\degree}}

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Jose wants to start a restaurant and is writing a business proposal. His rent is $1,000 per month. The monthly operating costs a
Harman [31]

Answer:

Revenue =  5( 1000 + w+ k)

Step-by-step explanation:

Lets calculate expenses first

rent = $1000

wages = w

overhead cost = k

Total cost = rent + wage+ overhead

Total cost = 1000 + w+ k

Given Jose wants his monthly sales revenue, x, to be 4 times greater than the operating costs

Let revenue be R

Thus, putting the statement mathematically

revenue - total cost = 4 * operating cost

R - ( 1000 + w+ k) = 4( 1000 + w+ k)

R =  4( 1000 + w+ k) + ( 1000 + w+ k)

R =  5( 1000 + w+ k)

Thus, revenue should be  5( 1000 + w+ k).

4 0
2 years ago
Another payment type enabled by smartphones is person-to-person payments, which are apps that allow people to send money electro
Galina-37 [17]

Answer and Step-by-step explanation:

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3 0
1 year ago
Ann is grouping 38 rocks. She can put them into groups of 10 rocks or as single rocks. What are the different ways Ann can group
hoa [83]

Answer: There will be two different ways of doing so.

Step-by-step explanation:

Since we have given that

Total number of rocks =38

If we want to groups of 10 rocks or as single rocks then there are 2 different ways ;

<u>Case I:</u>

if we group into 10 rocks

there will be four sets in which Ist set contains 10 rocks

Second set contains 10 rocks

Third set contains 10 rocks

and Fourth set remains with 8 rocks only.

<u>Case II:</u>

if we group as single rocks .

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7 0
2 years ago
Kara starts tying a baby quilt at the local community center. Each quilt takes 200 ties to complete. Ten minutes later Julie joi
Tju [1.3M]

Answer:

a) K(t)=6\frac{tie}{min}(t)

b)J(t)=11\frac{tie}{min}(t)

c)T_{f}(t)=K(t+10)+J(t) where T_{f}(t)= number ties finished per unit time

d) t≅8.24min

e) K=109tie

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f) K≅16.6min

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Step-by-step explanation:

Data

Kara_{(K)}=6\frac{tie}{min}\\Julie(J)=11\frac{tie}{min}

Kara begins ten minutes before julie, so when julie joins kara she has 60 ties

t=10 k=6\frac{tie}{min}*10min=60tie

a) K(t)=6\frac{tie}{min}(t)

b)J(t)=11\frac{tie}{min}(t)

c)T_{f}(t)=K(t+10)+J(t) where T_{f}(t)= number ties finished per unit time

d) if kara already has 60 ties and makes 6 per minute and Julie makes 11 per minute then per minute they makes 17 ties, so one minute per 17 ties for 200 ties ¿how long?. t=\frac{(200-60)tie*min}{17tie}≅8.24min

e) K=60tie+6tie/min*8.24min=109tie

   J=11tie/min*8.24min=91tie

f) K=100tie*min/6tie≅16.6min

  J=100tie*min/11tie≅9.09min

Note: the amount of ties were rounded to the nearest decimal

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A man divided $9,000 among his wife, son, and daughter. The wife received twice as much as the daughter, and the son received $1
oksian1 [2.3K]
Your answer is A. x/2+1000

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hope I helped please thank, rate, and award me best answer if you're on desktop :)
5 0
2 years ago
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