Answer:
x = 53
Step-by-step explanation:
Similar means that the corresponding angles are congruent (the same) - basically what this means is that ∠L ≅ ∠G, ∠M ≅ ∠J, and ∠N ≅ ∠H.
Since we know that the angle measures in a triangle should add up to 180 and we know the measures of ∠L and ∠M already, we can do
180 = 67 + 60 + N
So, N = 180 - (67 + 60) = 180 - 127 = 53.
Since ∠N ≅ ∠H, ∠H = 53.
The equation for cosine is <span><span><span>cos<span>(x)</span></span>=<span>Adjacent/Hypotenuse
</span></span></span>The inside trig function is <span><span>arccos<span>(<span>3/5</span>)</span></span></span>, which means <span><span><span>cos<span>(x)</span></span>=<span>3/5</span></span></span>. Comparing <span><span><span>cos<span>(x)</span></span>=<span>Adjacent/Hypotenuse</span></span></span> with <span><span><span>cos<span>(x)</span></span>=<span>3/5
</span></span></span>
Find <span><span>Adjacent=3</span></span> and <span><span>Hypotenuse=5.
</span></span>Then, using the Pythagorean theorem, find <span><span>Opposite=?
</span></span>a² = c² - b²
a² = 5² - 3² = 25 - 9 = 16
a = √16 = 4
<span><span>Adjacent=3</span></span><span><span>Opposite=4</span></span><span><span>Hypotenuse=5
</span></span><span>
Plug in the value for sin(x) = opposite/hypotenuse
sin(x) = 4/5 </span>
Answer:
So the answer is 2 meters
Step-by-step explanation:
So it's easy all you have to do is multiply 25
x 80
_____
2,000/1,000=2
The reason I divided by 1,000 is because it says you need to convert it to meters instead of just millimeters.
Answer:
B. Subtraction property of equality
Step-by-step explanation:
If you subtract angle 3 from both sides, then angle two and angle four must be equal. The property you would be using is the subtraction property of equality.
