The median is 12.
There are 23 dots.
11 on 1 side. 12. 11 on the other
11+11+1=23.
Answer:
2/3
Step-by-step explanation:
Rise/Run. The one taught in school.
2/3
also 69 problems? That's alot. Hang in there...
Hey there! I'll try to provide you with my best answer.
Answer: ∠a is 20° , ∠b is 130° and ∠c is 50°
If you see more precisely then ΔABC is a complete triangle. And we know that a triangle is 180°. So in respect to ΔABC, we know ∠A and ∠C. So ∠B remains.
∠A is 60° + 30° = 90°
∠C is 70°
∠B is 90° + 70° + ∠B = 180°
∠B + 160° = 180°
∠B = 180° - 160°
∠B = 20°
Now we know that angle a (the corner angle) is 20°. Remaining is angle b and angle c. The ones we actually have to find in the question given.
In one of the small triangle which the,"b" is.
We know ∠a is 20° and the other side is 30°. So the same formula applies again.
∠a + 30° + ∠b = 180°
20° + 30° + ∠b = 180°
∠b + 50° = 180°
∠b = 180° - 50°
∠b = 130°
Now ∠c is remaining. Well all the angles are given again so.. same!
∠c + 60° + 70° = 180°
∠c + 130° = 180°
∠c = 180° - 130°
∠c = 50°
There is another easier way to find ∠c. Line B and C is a straight line so a straight line is also 180°. We know ∠b is 130° so instead of subtracting and switching so much, we can directly subtract it from 180 because they are on a straight line.
∠b + ∠c = 180°
130° + ∠c = 180°
∠c = 180° - 130°
∠c = 50°
The answer is same at the end. Even though this is easier cause we can mentally subtract it instead of going to the triangle formula.
Note: When i show angles with capital letters and small letters, there is a difference. ∠B and ∠b is not the same thing when I wrote it. So please do not misunderstand it. The capital and small letters are clearly shown in the image you have shown.
And sorry for making it so long. I just hope you understood it clearly!! ^^
Answer:
-1/2
Step-by-step explanation:
Formula to find slope is y2-y1/x2-x1
Chose one ordered pair to be the 2 and the other one to be the 1
I chose the 2nd one to be 2.
Plug in the y-value from the 2nd ordered pair to y2 because its the 2.
Plug in the x-value from the 2nd ordered pair to x2 because its the 2.
Now you have 0-y1/5-x1
Do the same thing but for the 1.
Plug in the y-value from the 1st ordered pair to y1 because its the 1.
Plug in the x-value from the 1st ordered pair to x1 because its the 1.
Now you have 0-5/5--5
In this situation, you have 2 minus signs.
2 minus = 1 positive.
Now you have 0-5/5+5
Simplify.
Now you have -5/10.
Simplify.
-1/2.
Hope this helps!
Since two of the quantities are squares and the sum of all of three is equal 21, then the possible values of those two quantities are: 1,4,9,16
Let's consider each possibility
1 and 4
21-1-4=16, but 16 is also square and there can be only two square so NO
1 and 9
21-1-9=11, but 11 is prime, so NO
1 and 16
21-1-16=4... 4 is a square ,so NO
4 and 9
21-4-9=8 , 8 is not prime and not a square, so YES
4 and 16
21-4-16=1, but 1 is a square ,so NO
9 and 16
9+16=25>21 so.. NO
<u>Therefore, the amounts in the first three bowls are 4,8,9.</u>