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:
The length of this rectangle is 6 units.
Step-by-step explanation:
Let the width of the rectangle be x.
x • (x+2) = 48
x^2+2x=48
x^2+2x-48=0
x^2 - 6x + 8x - 48
x(x-6) 8(x-6)
(x+8)(x-6)
x=-8,6
Answer:
No. Lauren cannot buy the shirt. It costs $48 after the discount.
Step-by-step explanation:
Shirt Cost: $80
Money: $35
Discount: 40%
First, find the amount of the discount by finding 40% of the price. 40% is equal to 0.40 (or 40 divided by 100).
40% of $80 = 0.40 x 80 = $32
Since it's a discount, the final price is the original price minus the discount.
$80 - $32 = $48
So, after a 40% discount, the price is still $48. Lauren only has $35, so it will still be too expensive!
Answer:
8/3
Step-by-step explanation:
15 feet = 3 yards
8 yards to 3 yards
Your welcome!
Kayden Kohl
8th Grade Student
72 hours I hope this helps
