we will find the area of triangle with sides 5y,6y and 9y using herons formula
18+8/4x2
18+8/8
18+1
PEMAS
parentheses,
Answer:
84 degrees
Step-by-step explanation:
Angle A = 83 degrees
Angle B = x degrees
Angle C = 135 degrees
Angle CDE = 122 degrees
We know that the four inner corners of a quadrilateral should add up to 360 degrees. Two supplementary angles will add up to 180 degrees. Adjacent angles on a straight line will always be supplementary. Knowing this, just solve for <ADC and add that amount to <A and <C. Then, subtract that sum from 360 degrees.
<ADC = 180-122 = 58
58+83+135 = 276
360-276 = 84 degrees
Answer:
2.
4x^2 + 4 - 5x + x - 2x^2 + 8
= (4x^2 - 2x^2) + (x - 5x) + (4 + 8)
= 2x^2 - 4x + 12
=> D is correct
3.
2x^2 + 6x - 7x + 8 - 3x^2 + 1
= (2x^2 - 3x^2) + (6x - 7x) + (1 + 8)
= -x^2 - x + 9
=> C is correct
4.
B is correct (4 and 3)
Hope this helps!
:)
The second step is wrong. What should've been done is to find greatest common factor (gcf) of 1/6 and -2. This is because you cannont add together a number with a variable to a number without a variable. So get the variable by itself by subtracting 1/6 from both sides.
1/5x + 1/6 = -2
___— 1/6_— 1/6
____________
Turn -2 into a fraction and find the gcf of -2 and 6:
1/5x + 1/6 = -2
___— 1/6_— 1/6
____________
1/5x = -2/1 — 1/6 ——> 1/5x = -12/6 — 1/6
1/5x = -13/6
Then divide each side by 1/5 to get the variable by itself; remeber: when dividing a fraction by a fraction, you multiply by the reciprocal.
5/1 • 1/5x = -13/6 • 5/1
x = 65/6
Then, simplify
65/6} 10.83 or 10 83/100
