Answer:
−24
Step-by-step explanation:
Since there is only one negative, this means when all the values are multiplied together the product will be negative. Just multiply all three together to get −24.
(3)(−4)(2)
(−12)(2)
−24
It doesn't matter which order you multiply in in this case.
The 3 angles form the straight line AB. A straight line equals 180 degrees.
The 3 angles when added together need to equal 180:
2x + 65 + (x + 65) = 180
Simplify by combining like terms:
3x + 130 = 180
Subtract 130 from both sides
3x = 50
Divide both sides by 3
X = 50/3
X = 16 2/3 (16.66667 as a repeating decimal)
Now you have x if you need to solve all the angles replace x with its value and sole:
2x = 2(16 2/3) = 33 1/3
X + 65 = 16 2/3 + 65 = 81 2/3
Answer:
x = 14
Step-by-step explanation:
Extend line AB so that it intersects ray CE at point G. Then angles BGC and BAD are "alternate interior angles", hence congruent.
The angle at B is exterior to triangle BCG, and is equal to the sum of the interior angles at C and G:
138 = (376 -23x) +(x^2 -8x)
Subtracting 138 and collecting terms we have ...
x^2 -31x +238 = 0
For your calculator, a=1, b=-31, c=238.
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<em>Additional comment</em>
You will find that the solutions to this are x = {14, 17}. You will also find that angle BCE will have corresponding values of 54° and -15°. That is, the solution x=17 is "extraneous." It is a solution to the equation, but not to the problem.
For x=14, the marked angles are A = 84°, C = 54°.
Answer:
y = -x/3 + 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
Standard Form: x + 3y = 18
<u>Step 2: Rewrite</u>
<em>Find slope-intercept form</em>
- Subtract <em>x</em> on both sides: 3y = -x + 18
- Divide 3 on both sides: y = -x/3 + 6
Its A a single outlier causes the upper quartiles to move close together
im pretty sure