Answer:
see explanation
Step-by-step explanation:
Let ∠4 be x then ∠6 is
x
∠4 and ∠6 are same side interior angles and are supplementary, thus
x +
x = 180
Multiply through by 8 to clear the fraction
8x + x = 1440, that is
9x = 1440 ( divide both sides by 9 )
x = 160
Hence ∠4 = 160° and ∠6 = 160° ÷ 8 = 20°
Answer: 560
Step-by-step explanation:
There are [20, 22, 24, 26, 28]: 5 even integers for each ten numbers.
The 20's set can be written as 5*20 + (2+4 + 6 + 8) = 5*20 + (20) = 120
The 30's can be written: 5*30 + 20 = 170
40's: 5*40+20 = 220
50's: 5*50+20 = 270
60's: 5*60+20 = 320
Each set is incremented by 50
We want the sets for 20, 30, and 40, plus the number 50.
(120+170+220+50) = 560
You can also do this in Excel (attached). Set the first cell to 20, the next cell below equal to the cell above plus 2. Then draw the second cell down until you've reached 50. Then sum the cells to arrive at 560.
You put it into a graphing calculator and it'll come up with answer D.
Using the pythagorean theorem, the value of x would be eight. The equation of Pythagorean is
a^2 + b^2 = c^2
(C is the hypotenuse. Hypotenuse being the length of 10) Applying the lengths leaves us with the equation
36 + x^2 = 100.
You then subtract 36 from 100 to get X alone on the opposite side of the equation.
X^2 = 64
Lastly, you take the square root of 64. Therefore, the final answer will be eight.
3xy + 4x -16 ...... I hope that helps .