Answer:
110°
Step-by-step explanation:
the supplement of an angle is 30 degrees less than twice the measure of the angle itself. find the angle and its supplement.
Let the angle be A, then its supplement = (180 - A)
Now, since the supplement is 30 degrees less than twice the measure of the angle itself, then we'll have:
180 - A = 2A - 30
-3A = - 210
A, or the angle =
= 70 °
Its supplement, (180 - A) = 180 - 70 = 110°
Answer:
93/100
Step-by-step explanation:
By the Pythagorean Theorem, the hypotenuse squared is equal to the sum of the sides squared...
h^2=x^2+y^2
We are told that y=x+20 and h=24 so
x^2+(x+20)^2=24^2
x^2+x^2+40x+400=576
2x^2+40x+400=576
2x^2+40x=176
x^2+20x=88
x^2+20x+100=188
(x+10)^2=188
x+10=±√188
x=-10±√188, x>0 so
x=-10+√188 ft
y=10+√188 ft
If you want approximations...
x≈3.71 ft
y≈23.71 ft
Answer:
325
Step-by-step explanation:
The number of adult tickets sold is half the total plus half the difference, so is ...
... (597 +53)/2 = 325
_____
You can write an equation for the number of adult tickets (a) as ...
... a + (a -53) = 597
... 2a = 597 +53 . . . . . simplify, add 53
... a = 650/2 = 325 . . divide by 2
2(7)+8 2(5)+8
14+8= 10+8=
22 18