Answer:
34 m
Step-by-step explanation:
The proportion between sides AD and EH:
AD/EH = 1/2
must be also satisfied with the proportion:
AD/EH = DC/GH = 1/2
because they are corresponding sides between the two figures.
DC measures 17 meters, therefore:
GH = 17*2
GH = 34 m
It's an 11% increase. To find this, you have to subtract 85 from 94.35 and then you divide that difference by the original amount. In this case it's 85. After that, you get .11. Then you just turn it into a percent.
8585 is odd, so one of the primes is even and the other is odd (otherwise their sum would be even). 2 is the only even prime. Thus, second prime is 8585-2=8583. Their product is 8583*2=<span>17166.</span>
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:
[1] x - 6y = 3
[2] x + 2y = 5
Graphic Representation of the Equations :
-6y + x = 3 2y + x = 5
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -2y + 5
// Plug this in for variable x in equation [1]
[1] (-2y+5) - 6y = 3
[1] - 8y = -2
// Solve equation [1] for the variable y
[1] 8y = 2
[1] y = 1/4
// By now we know this much :
x = -2y+5
y = 1/4
// Use the y value to solve for x
x = -2(1/4)+5 = 9/2
Solution :
{x,y} = {9/2,1/4}
