Given:
(a+10) and (a+20) are supplementary
To find:
Each angle
Steps:
if 2 angles are supplementary that means they add up to 180°
(a + 10) + (a + 20) = 180
a + 10 + a + 20 = 180
2a + 30 = 180
2a = 180 - 30
2a = 150
a = 150/2
a = 75°
Now let's find value of each angle,
a + 10 = 75 + 10
= 85°
a + 20 = 75 + 20
= 95°
Therefore, the value of each angle is 85° and 95° respectively
Happy to help :)
If you need any help feel free to ask
11^0 is 1.
11^2= 121
121/1= 121
Final answer: 121
Answer:
See explanation, and ask for more details if unclear!
Step-by-step explanation:
The perfect square of this equation is
, since the square would be
. 1/4=4/16, meaning that you can set up the equation in the following way:


Take the square root of both sides:

Add 1/2 to both sides:
. Hope this helps!
There's no need to get into an ethical morass over math homework.
111.
M is 20% less than N means
M is 100-20=80% of N
M=0.80 N
M/N = 0.8 = 4/5
Ratio: 4/5
112.
When we know <em>a, </em>the average, and <em>n, </em>how many numbers there are, we know the sum <em>s</em>, because <em>a=s/n </em>so <em>s=na.</em>
So the sum of our six numbers is 6(3.5)=21 so the sum of the seven numbers is 21+4.2=25.2 so the average is 25.2/7 = 3.6
Answer: 3.6
113.
|2p + 4 | < 3
At p=-2 the absolute value is zero. As p gets more negative the absolute value argument (inside part) gets negative and the absolute value gets bigger, more positive. Eventually the inside will be exactly -3, when
2p +4 = -3
2p = -7
p = -7/2 = -3 1/2
So p=-4 will make the inequality false, and p=-3 is the smallest integer that makes the inequality true.
Answer: -3
114.
The distance from the origin is given by the Pythagorean Theorem and this one is a 3/4/5 right triangle:

Answer: .5 or 1/2
Answer:
72 is the least common multiple
Step-by-step explanation:
The first one is the multiples of 9 and the second one is of 8
The only one they have in common is the number 72