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:
slope intercept form is : y = mx + b
where m is the slope and b is the y-intercept.
The slope, m = (y' - y)/(x' - x)
Is found using the two pints.
The apostrophe is used to denote the other point, different from point (x,y).
once you have the slope, m for the equation y = mx + b ; use one of the points as (x,y) to solve for b.
Step-by-step explanation:
a.
2(3x) - 5x = 4
6x - 5x = 4
x = 4
B. -5(x-4)+8x=29
-5x+20+8x=29
3x+20=29
3x=9
x=3
C. 2y=18+2(3-y)
2y=18+6-2y
2y=24-2y
4y=24
y=6
D. c = -b - 11
3c + 6 = 6b
3( -b - 11) +6 = 6b
-3b-33+6=6b
-3b-27=6b
-27=9b
3=b
Answer:
D All Of Above
Step-by-step explanation:
Any number that is the ratio of two integers, a repeating decimal fraction, or a value you can write completely without using symbols such as π or √2 is a rational number. All the numbers shown are complete in a finite number of digits, so are rational.
Answer: -3x + 4, (2,-2)
Step-by-step explanation:
First, you want to get y alone on one side.
3x + y = 4
-4 -4 subtract 4 to get it on the left side.
-y -y subtract y to get it alone on the right side.
Your'e left with 3x - 4 = -y divide the whole equation by -1 do get a pos y
You then have y = -3x + 4. That's the first part of your answer.
To get the second part plug in (-3x + 4) into the y of the first equation, this is the substitution part.
-2x + 5(-3x+4) =-14 distribute the 5... -2x - 15x +20 = -14
add your like terms ( x and x) -17x + 20 = -14
Isolate your x by subtracting the 20, both sides -20 -20
-17x = -34 divide both side by 17 you get x = 2 (---- this is your first coordinate in the pair in your answer. To get the y do the same but solve for y instead of x.