Answer:
x = 13
Step-by-step explanation:
Note that the side length x is opposite of the right angle, which means that it is the hypotenuse, which will usually be denoted as c.
Set the equation:
a² + b² = c²
let:
a = 5
b = 12
c = x
Plug in the corresponding numbers (& x) to the corresponding variables:
(5)² + (12)² = (x)²
Simplify. First, solve for the power, and then add:
x² = (5²) + (12²)
x² = (5 * 5) + (12 * 12)
x² = 25 + 144
x² = 169
Next, root both sides of the equation:
√x² = √169
x = √169 = √(13 * 13) = 13
x = 13
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Note the rules, and it should be easier:
30-60-90° = 1 , √3 , 2
45-45-90° = 1 , 1 , √2
Any other measurements use the equation: a² + b² = c²
Answer:
Option b is correct.
Step-by-step explanation:
From the given condition : Seven less than the quotient of a number, x, and twelve is five times the number.
Here, the number is x
The quotient of a number x and twelve is expressed as , 
Seven less than the quotient of a number, x, and twelve is expressed as, 
Five times the number mean, 
Therefore, we have an equation in the form of <em>x</em> from the given condition as:
.
Answer:b=2.5555555555...
Step-by-step explanation:9b= -23, 9b/9=b, -23/9=2.55555..., b=2.55555...
Answer:
point B = (3,-2)
Step-by-step explanation:
Answer:
option-B
Step-by-step explanation:
we are given
<H and <X are supplementary angles
so,
<H+<X=180
we know that
<H and <E are vertically opposite angles
so, they must be equal
<H=<E
we can plug it
<E+<X=180
It means that angle(E) and angle(X) are supplementary angles
and these two angles are same side interior angles
By using same side interior angles converse
so, line(l) and line(n) must be parallel
so, option-B
