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3 years ago

11

A triangle has angle measures 23° and 35°. What is the measure of the third angle ?

2 answers:

frozen [14]3 years ago

7 0

23 + 35 + A=180
58 + a =180
-58 -58
-------------------
A = 122 degrees

Effectus [21]3 years ago

7 0

The angles in a triangle always add up to 180°. to work out the third angle first you have to work out how many ° the angles that you already know add up to. in this case you already have the angles 23° and 35° which add up to the total of 58°. now to work out the third angle you have to subtract the total ° of the other angles from 180 because remember the angles in a triangle always add up to 180°. 180-58= 122 which mean that the third angle is 122<span>°. i hope this helped</span>

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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

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

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:

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Alenkinab [10]

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