Answer:
D. 3.6
Step-by-step explanation:
=> Taking proportionality of the similar sides to find BC
Multiplying 6 to both sides
BC = 3.6
A. Equator of symmetry
B. Point of symmetry
C. Line of symmetry
D. Symmetrical half life
The design that every point on one side of the line coincides with a point on the other side of it is Line of symmetry
Symmetry in mathematics means that when one shape is moved, rotated, or flipped, it looks exactly like the other shape.
A circle or band that divides a body's surface into two typically equal and symmetrical portions.
When a shape or item has a centralpoint, point symmetry occurs when all points on the opposing sides are at the same distance from the centre.
The term "line of symmetry" refers to the fictitious axis or line that can be used to fold a figure into symmetricalhalves.
It denotes that one half is the other half's mirror image.
Thus, the required design is Line of Symmetry.
Learn more about Symmetry here:
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Prove: StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction
Triangle A B C is shown. A perpendicular bisector is drawn from point A to point D on side C B forming a right angle. The length of A D is h, the length of C B is a, the length of C A is b, and the length of A B is c.
A 2-column table has 7 rows. The first column is labeled Statement with entries In triangle A B C line segment A D is perpendicular to line segment B C, In triangle A D B sine (uppercase B) = StartFraction h Over c EndFraction, c sine (uppercase B) = h, In triangle A C D, sine (uppercase C) = StartFraction h Over b EndFraction, b sine (uppercase C) = h, question mark, StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction. The second column is labeled Reason with entries given, definition of sine, multiplication property of equality, definition of sine, multiplication property of equality, substitution, and division property of equality.
What is the missing statement in Step 6?
b = c
StartFraction h Over b EndFraction = StartFraction h Over c EndFraction
csin(B) = bsin(C)
bsin(B) = csin(C)
Answer:
c- the right triangle altitude theorem
Step-by-step explanation:
i did it on edge! ; )
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Answer:
x= 4/16 stan
x=0.26 dec
Step-by-step explanation:
⬇ Hello! The answer would be down below! :) ⬇
x = 0 will be the answer.
Step-by-step explanation:
So, we start with .
For step 1 we should subtract on both sides.
=
For step 2 we will multiply both sides by .
x x
= x = 0
(If possible please show work)
Answer:
y = -1/2x + 1/2
Step-by-step explanation:
Step 1: Write in known variables
y = -1/2x + b
Step 2: Find b
2 = -1/2(-3) + b
2 = 3/2 + b
b = 1/2
Step 3: Rewrite equation
y = -1/2x + 1/2
Answer:
y = (-1/19)(x - 8)² + 1521/76
Step-by-step explanation:
A parabola moves in such a way that it's distance from it's focus and directrix are always equal.
Now, we are given that directrix is y = 9.75 and focus is at (8, 0.25). Focus can be rewritten as (8, ¼) and directrix can be rewritten as y = 39/4
If we consider a point with the coordinates (x, y), it means the distance from this point to the focus is;
√((x - 8)² + (y - ¼)²)
Distance from that point to the directrix is; (y - 39/4)
Thus;
√((x - 8)² + (y - ¼)²) = (y - 39/4)
Taking the square of both sides gives;
((x - 8)² + (y - ¼)²) = (y - 39/4)²
(x - 8)² + y² - ½y + 1/16 = y² - (39/2)y + (39/4)²
Simplifying this gives;
(x - 8)² - (39/4)² = (½ - 39/2)y
(x - 8)² - 1521/4 = -19y
(x - 8)² - 1521/4 = -19y
Divide both sides by -19 to get;
y = (-1/19)(x - 8)² + 1521/76