Answer: slope = 4
Step-by-step explanation:
slope = m = rise/run = y1-y2/x1-x2
9-1/5-3 = 8/2 = 4
I started by labeling the right angle (Angle C) 90º. Next, I wrote down everything in one equation.
2x + 90 + 3x - 20 = 180º (180 degrees in a triangle)
Next, I add 20 on both sides.
2x + 90 + 3x = 200º
I combine like terms (2x and 3x)
5x + 90 = 200º
I subtract 90 from both sides.
5x = 110º
Divide 110 by 5 to get x.
x = 22
======
For problem two, I label all the angles I know.
49º + 80º + r = 180º
I add 80 and 49.
129º + r = 180º
I subtract 180 and 129 and get 51º, which is your angle for R.
For angle X, you know that angle R plus angle X equals half of a circle, which is 180º
We know from before that 129º is 180º without R, so X is 129º
I hope this helps! Let me know if I'm wrong!
963 would be rounded to become 1000.
This is because 9 is the first non-zero number and so since there are only going to be 1 significant figures, the 9 would round up or down. There is a 6 after the 9, so it rounds up to 10, making it 1000.
Answer:
x=2x+6 is the equation that to solve for the smallest.
The three numbers are -6, -4 , and -2.
Step-by-step explanation:
Let x be the smallest of three consecutive even integers.
The next even integer would then have to be x+2 (because x+1 is odd if x is even).
The third one in this sequence would have to be x+4 (because x+3 is odd if x is even).
We are given the first of these numbers equals the sum of the second and third.
So we have x=(x+2)+(x+4).
Combine like terms on right hand side:
x=x+x+2+4
Simplify the combining:
x=2x+6
Subtract 2x on both sides:
x-2x=6
Simplify left hand side:
-x=6
Multiply both sides by -1:
x=-6
If x=-6, then the three mentioned numbers are:
x=-6
x+2=-6+2=-4
x+4=-6+4=-2
The three numbers are -6, -4 , and -2.
Answer: 18x + 12
Step-by-step explanation:
Step #1: Determine the length of each side.
The polygon is regular, so all the sides are equal. Thus, all sides measure 3x+2.
Step #2: Determine the number of sides in the polygon.
This polygon is identified as a hexagon meaning it consists of 6 sides.
Step #3: Set up an expression and distribute.
(Number of sides) x (Length of each side)
(6)(3x+2)
- 6 times 3x equals positive 18x
- 6 times 2 equals positive 12
So, the answer is 18x + 12.