Answer:
<J = 45
<L = 45
<M = 90
This is an isosceles right triangle
Step-by-step explanation:
The angles of a triangle add up to 180 degrees
<J + <L + <M = 180
2x+15 + 5x-30 + 6x = 180
Combine like terms
13x -15 = 180
Add 15 to each side
13x-15+15 = 180+15
13x = 195
Divide each side by 13
13x/13 =195/13
x =15
<J =2x+15 = 2*15+15 = 30+15 = 45
<L = 5x-30 = 5*15 -30 = 75-30 = 45
<M = 6*15 = 90
The triangle is a right triangle
Since two angles are equal, that means two sides are equal so it is an isosceles triangle.
This is an isosceles right triangle
Answer:
of a sheet of paper
Step-by-step explanation:
Hi!
This isn't the easiest to explain with numbers but I'll do it with an example instead.
If you had 60 cookies and had to split it equally with you and one of your other friends, how would you do it?
You would do
, right? Because you have 60 cookies and you're dividing it amongst 2 people.
It's the same idea here!
We take the number of sheets of paper, and we divide it by the number of people we have to share it with.
so we do
. You don't even have to simplify in this case because this is a fraction and this is the simplest form of this fraction as well
I hope this made sense, let me know if you have any questions
Answer:
a(n) = 9.5 + 2(n - 1)
Step-by-step explanation:
Observe that each new term is obtained by adding 2 to the previous term. Thus, the common difference is 2 and the first term is 9.5.
Then a(n) = 9.5 + 2(n - 1)
1. The 2nd number line represents the inequality.
Explanation:
In words, the inequality reads "negative six is less than x, which is less than or equal to two". On the number line, the open circle at negative six means that -6 is not a solution to the inequality: -6 < x. The point at positive two means that positive two is a solution to the inequality: x ≤ 2. Therefore, all numbers greater than -6 and less than or equal to +2 are solutions to the inequality. This is shown on the second number line.
2. False
Explanation:
In words, the inequality reads "x is less than negative five". This means that all numbers less than -5 are solutions to the inequality. Positive four is not less than negative five, so it is not a solution to the inequality.
3. x > 2
Explanation:
To solve the inequality, we have to move all the terms that do not contain x to one side. This inequality is simple because it only requires one step: subtraction.
Solve for x: x + 3 > 5
1. Subtract 3 from both sides to get x by itself:
x + 3 - 3 > 5 - 3
2. Simplify
x > 2
-1,568
22 - 1,600 = 1,578
1,578 + 10 = 1,568