<u>Angle A = 30 degrees</u>
1) Use the Pythagorean Theorem:
-->
--> 144 + 48 =
--> 192 =
--> AC =
2) Figuring out the type of triangle it is
There's a formula on the sides of a certain type of triangle:
--> Hypotenuse: a, Short Leg: a/2, Longer Leg: a/2 *
That type of triangle perfectly matches the sides of our triangle: 12, ,
Therefore, this triangle is a 30, 60, 90 triangle.
3) Finding the measure of angle A
--> Angle B is given: 90 degrees
--> The angle that's between Sides AB and AC is 30 degrees
Finally, we can conclude that Angle A is 30 degrees
With this information we can set up 2 equations:
x + y = 312 (# of tickets sold for adults + # of tickets sold to adults = 312)
12x + 5y = 2204 ( # of tickets sold for adults times $12 + # of tickets sold to adults times $5 = $2204)
Where x is how many tickets were sold to adults and y how many tickets were sold to children
Now we can solve this system of equations by substitution:
isolate y in the first equation to find its value and plug it in the second equation
x + y = 312
isolate y by subtracting x from both sides:
x - x + y = 312
y = 312 - x
Apply y = 312 - x to the second equation
12x + 5y = 2204
12x + 5( 312 - x) = 2204
12x + 1560 - 5x = 2204
7x + 1560 = 2204
Subtract 1560 from both sides to isolate x
7x + 1560 - 1560 = 2204 - 1560
7x = 644
Divide both sides by 7
7/7x = 644/7
x = 92
Now plugin 92 for x in the first equation to find the value of y
x + y = 312
92 + y = 312
subtract 92 from both sides
92 - 92 + y = 312 - 92
y = 220
x = 92, y = 220
92 tickets were sold to adults and 220 tickets were sold to children
Hope it helps :)
Branliest would be appreciated
Answer:
8 and 10
Step-by-step explanation:
All you need to know to begin setting this up is that to get from one even integer to the next consecutive even integer, add 2.
Start with x = an even integer (yes, because you say so!)
Next even integer = x + 2
"five times the first integer is equal to four times the second integer"
5x = 4(x + 2)
Distribute the 4.
5x = 4x + 8
Subtract 4x
x = 8
The two integers are 8 and 10
5(8) = 4(10) as desired!
Answer: It is the Top right one
Step-by-step explanation: Because number sequence is consistent
It starts with a 7 and you add 2 that is a 9 add two more that is 11 and add 2 it is 13. With the others you cant add the same number for all of them and get a linear function. Hope this helped :3
The answer to your prob is 4