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Alla [95]
3 years ago
5

as shown, several parallelograms are formed in an expandable gate. The angles of the parallelograms change as the gate is expand

ed and compressed. Find m

Mathematics
1 answer:
Airida [17]3 years ago
3 0

Answer:

m = 145

Step-by-step explanation:

All angles inside a parallelogram = 360

∠ABC = ∠ADC

35 = ∠ADC

360 = 2(∠ABC) + 2( ∠DAB)

360 = 70 + 2( ∠DAB)

290 = 2( ∠DAB)

145 = ∠DAB

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steposvetlana [31]

Answer:

x+5

Step-by-step explanation:

3(x+4)-(2x+7)

1. Distribute 3 to x and 4

3x+12-2x+7

2. Distribute the "-" to 2x and 7

2x+12-2x-7

3. Subtract 7 from 12

3x+12-2x-7

3x+5-2x

4. Combine like terms

3x+5-2x

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Answer:

x+5

7 0
3 years ago
A show is on Friday, Saturday and Sunday
Gwar [14]

Answer:

270 tickets are sold for the Sunday show.

Step-by-step explanation:

Given:

Two-fifth of the total tickets are sold for the Saturday show.

Tickets sold for the Saturday show = 240

Three times as many tickets are sold for the Sunday show as for the Friday show. This means that tickets sold for Sunday show is three times that for Friday.

Let the tickets sold for Friday show be 'x'. Therefore, tickets sold for the Sunday show is given as 3 times of 'x' = 3x

Total tickets sold = Sum of all tickets sold on Friday, Saturday and Sunday.

Total tickets sold = x+3x+240

Total tickets sold = 4x+240

Now, as per question, two-fifth of the total tickets are sold for Saturday show and ticket sold on Saturday is 240. So,

\frac{2}{5}\times(4x+240)=240\\\\8x+480=240\times5\\\\8x=1200-480\\\\8x=720\\\\x=\frac{720}{8}=90

Therefore, tickets sold for the Sunday show = 3x=3\times90=270

Hence, 270 tickets are sold for the Sunday show.

6 0
3 years ago
Parent function of h(x)=|x+5|-2
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Answer:

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Step-by-step explanation:

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