Answer:
60,120
Step-by-step explanation:
We know that angles on the same side of the transversal always add up to 180 ( are supplementary)
Hence, taking one of the angles as x we get,
x+(60+x)=180
2x+60=180
2x=120
x=60
Hence, one angle is 60 degrees while the other 120 degrees
The inequality is used to solve how many hours of television Julia can still watch this week is 
The remaining hours of TV Julia can watch this week can be expressed is 3.5 hours
<h3><u>Solution:</u></h3>
Given that Julia is allowed to watch no more than 5 hours of television a week
So far this week, she has watched 1.5 hours
To find: number of hours Julia can still watch this week
<em>Let "x" be the number of hours Julia can still watch television this week</em>
"no more than 5" means less than or equal to 5 ( ≤ 5 )
Juila has already watched 1.5 hours. So we can add 1.5 hours and number of hours Julia can still watch television this week which is less than or equal to 5 hours
number of hours Julia can still watch television this week + already watched ≤ Total hours Juila can watch

Thus the above inequality is used to solve how many hours of television Julia can still watch this week.
Solving the inequality,

Thus Julia still can watch Television for 3.5 hours
Answer:
325
Step-by-step explanation:
You must have heard about Arithmetic Progressions (AP)
Arithmetic progressions are a series of numbers such that every successive number is the sum of a constant number and the previous number.
Our very own counting numbers form AP
For example :-
2 = 1 + <u>1</u>
3 = 2 + <u>1</u>
4 = 3 + <u>1</u>
The number in bold (1) is that constant number which is added to a number to form its successive number.
To find the sum of series forming AP, we use the formula :-

here,
- n is the number of terms
- a is the first number of the series
- an is the last number of the series
So we'll use all this information to find the sum of continuous numbers from 1 to 25 where 1 is the first term(a) and 25 is the last(an).
and n is 25




So, the value of S comes out to be 325.
Answer:
x=-3, y=-19
Step-by-step explanation:
we can solve by substitution.
y = 2x-1 we can derive from the second equation.
plugging it into the first equation, 2x -3(2x-1) = 15.
simplying, 2x-6x+3 = 15 --> -4x+3 = 15, -4x = 12, x = -3.
now we know x, so we can solve for y by plugging it into one of the equations. --> -3*-6+y = -1
simplify, 18+y = -1 --> y = -19.
Answer: The probability is 5/6
Step-by-step explanation: