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fgiga [73]
3 years ago
15

This handrail is made from congruent parallelograms. In parallelogram ABCD, AB = 17.5 , DE = 18, and angle BCD is 110º. Find the

measure of angle ABC.                                    
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
5 0
I'm a bit confused however this is what I have come up with. I did not use the values for AB or DE at all. As a warning, my geometry skills are not great as I do not remember much from 8th grade. 
If my memory serves me right, angle BCD's degree must equal's angle DAB's degree, so 110. A parallelogram's angle sums up to 360. If you add BCD and DAB's measurements, it equals 220, subtract this number from 360 and you get 140. angles ABC and ADC must also equal one another so if we divide 140 we get the individual angle degrees. If you do this you should get 70 degrees.
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The admission fee at the steamboat springs hot air balloon festival is $1.50 for children and $4.00 for adults. On a certain day
GaryK [48]

Answer:

Number of child tickets =  800

Number of adult tickets = 330

Step-by-step explanation:

Let c = number of child tickets

and  a= the number of adult tickets.

We are given:

The admission fee at the steamboat springs hot air balloon festival is $1.50 for children and $4.00 for adults.

On a certain day, 1,130 enter the festival and 2, 520 is collected.

Making equations:

c+a=1130 (because total people entered are 1130, so adding number of adult and child tickets will give us total number of people)

1.50c+4.00a=2520  (because total money collected is 2520, so adding coat of adult and child tickets will give us total money)

Now, solving these equations simultaneously, we can find values of x and y

Let:

c+a=1130--eq(1)\\1.50c+4.00a=2520--eq(2)

From equation 1 find value of c and put it in eq(2)

c+a=1130\\c=1130-a

Putting value of c in eq(2)

1.50c+4.00a=2520\\Put\:c=1130-a\\1.5(1130-a)+4a=2520\\1695-1.5a+4a=2520\\-1.5a+4a=2520-1695\\2.5a=825\\a=\frac{825}{2.5}\\a=330

So, we get value of a = 330

Now, punting value of a in eq(1) to get value of c

c+a=1130\\c+330=1130\\c=1130-330\\c=800

So, we get value of c = 800

Therefore:

Number of child tickets = c= 800

Number of adult tickets = a = 330

4 0
3 years ago
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