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
(x+4), (y-1) because the figure is translated 4 units to the right and 1 down.
<h3>
Answer: 37 degrees</h3>
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Explanation:
The angle of incidence is equal to the angle of reflection. The angle of light coming in is the same as the angle of light bouncing out. Each angle is made with the dashed line as the diagram shows.
So angle RMI = 106 is bisected, i.e. divided in half, to get
- Angle RMN = 53
- Angle NMI = 53
since 106/2 = 53
Then notice that the horizontal dashed line is perpendicular to the vertical mirror. This means angle NMJ is a 90 degree angle and,
angle RMJ = (angle NMJ) - (angle RMN)
angle RMJ = 90 - 53
angle RMJ = 37 degrees
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In short: divide 106 in half to get 53, then subtract it from 90
Answer:
Step-by-step explanation:
Area = pi*r^2
Area = pi*9^2
Area =
Answer: Step-by-step explanation:
57 - 10x = 45
-10x=-12
x=1.2
- 3y + 10x = -5
-3y+10=-5
-3y=-15
y=5
