Answer:
x = 40
y= 20
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 60 = 20 sqrt(3)/ x
x sin 60 = 20 sqrt(3)
x = 20 sqrt(3)/ sin 60
x = 20 sqrt(3)/ sqrt(3)/2
x = 20 *2
x = 40
tan theta = opp /adj
tan 60 = 20 sqrt(3)/y
y = 20 sqrt(3)/ tan 60
y = 20 sqrt(3) / sqrt(3)
y = 20
The slope-point formula:
We have (0, 3) and (-10, 4)
Substitute:
Answer:
A. Line symmetry
C. Rotational symmetry ... 45°
Step-by-step explanation:
First of all, you need to have some idea what symmetry means.
A figure has <em>line symmetry</em> if it can be folded on a line and the halves of the figure lie on top of each other.
Here, any line through opposite vertices or through the midpoints of opposite sides is a line of symmetry. This figure has line symmetry.
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A figure has <em>rotational symmetry</em> if it can be rotated by some amount less than a full turn, and it lies on top of itself. The number of times you can do this in a full turn is the degree of the symmetry.
Here, the figure can be rotated 1/8 turn (360°/8 = 45°) and it will be indistinguishable from the original. It has rotational symmetry with angles of rotation that are multiples of 45°.
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<em>Comment on symmetry of regular polygons</em>
Any regular n-gon will have rotational symmetry of degree n, and symmetry about a line through its center and any vertex or side midpoint. (For odd n, such a line through a vertex goes through the midpoint of the opposite side.)
Answer:
9√2
Step-by-step explanation:
a^2+b^2=c^2
a^2+b^2=18^2
a^2+b^2=324
324 ÷ 2 = 162
162 + 162 = 324 (on a 45 45 90 right triangle)
81 and 2 are factors of 162
square root of 162
√162 = √81 * 2 = 9√2
Explanation:
We will use the Pythagorean Theorem to determine if these lengths for a right triangle.
This theorem states, for a right triangle:
<span><span>a2</span>+<span>b2</span>=<span>c2</span></span>
Where a and b are the base and height and c is the hypotenuse which is also the longest length.
Substitute the values into this equation and see if both sides of the equation are equal. If they are the lengths form a right triangle. If they are not equal then they would not form a right triangle.
<span><span>362</span>+<span>772</span>=<span>852</span></span>
<span>1296+5929=7225</span>
<span>7225=7225</span>
Because both sides of the equation are equal these lengths do form a right triangle.
(not the actual answer)
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