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.
__
<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:
1. 540 sq. ft. 2. 7,200 sq. m. 3. 276 sq. yd. 4. 6,000 sq. mm.
Step-by-step explanation:
You find the area of a parallelogram by doing the same as you would a rectangle, multiplying length by width. (If you imagine slicing off the triangle shape on the end of all of these and putting it on the other side, it will always make a rectangle.)
Answer:
The y intercept of the line is (0, -14).
Step-by-step explanation:
we are given the equation
y + 11 = -2(x + 1.5)
The y-intercept of the line is the point where x = 0,
Substituting x = 0 into the expression:
y + 11 = -2(0 + 1.5)
y + 11 = -0 – 3
y + 11 = -3
y = 11 – 11 = -3 – 11
y = -14
Thus, The y intercept of the line is (0, -14).
<u>-TheUnknownScientist</u><u> 72</u>
Answer:
Infinite: 2x+7=2+7
One solution= 2x-5= 10
No solution= 2x+7=2x-6
Step-by-step explanation:
76(1.0825) is 82.27. I hope this helps have a wonderful night!
