the sum of the angle measures of any triangle is 180 degrees. Find the angle measures of a triangle if the second angle is 10 degrees less than twice the fist, and the third angle measures 25 degrees more than the second

Angle 1 is 35°, angle 2 is 60°, and angle 3 is 85°

Step-by-step explanation:

In seeing the measures of the angles from the problem, we see that angle 1 can be represented as x, and all the other angles rely on the value of x, so then an equasion can be built.

Angle 1 is represented as x,

Since angle 2 is 10 less than 2 times angle 1's value, it is represented as 2x-10.

Since angle 3 is 25 more than the second, you add 25 to angle 2's value, which leaves us with 2x+15.

In adding all these values together, we get . We then subtract 5 from both sides, leaving us with , and then we divide both sides by 5 to get .

We then plug in x's value to find the measures of the angles.

For angle 1:35=35,

For angle 2: 2(35)-10=60

For angle 3: 2(35)+15=85.

Finally, to double check, add the values of 35, 60, and 85 together, which equals 180

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .