If AB = 3, AD= 5, andDE= 6, what is the length of BC?
if AB = 3, AD= 5, andDE= 6, what is - 1

Answers

Answer 1
Answer:

Answer:

D. 3.6

Step-by-step explanation:

=> Taking proportionality of the similar sides to find BC

(AB)/(AD)=(BC)/(DE)

(3)/(5) = (BC)/(6)

Multiplying 6 to both sides

BC = 0.6 * 6

BC = 3.6


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What divides a design so that every point on one side of the line coincideswith a point on the other side of it?
A. Equator of symmetry
B. Point of symmetry
C. Line of symmetry
D. Symmetrical half life

Answers

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

What is 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:

brainly.com/question/15970176

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C. Line of symmetry is the correct answer

A bag contains 10 marbles. Four of them are red, three blue, two white and one yellow. A marble is drawn at random. What is the probability it is not blue?

Answers

Probability =
(number of different successful results) / (number of all possible results) .

Number of marbles that are not blue = 7
Number of marbles in the bag = 10
Probability that one marble drawn at random is not blue = 7/10 = 70% .

For all probability questions of this type, the probability can be found as:
P_(desired)=(desired)/(total)

or, more simply:
P_(x)=(n_(x))/(n_total)

In this case:
P_(notblue)=(notblue)/(total)
P_(notblue)=(red+white+yellow)/(red+blue+white+yellow)
P_(notblue)=(4+2+1)/(4+3+2+1)
P_(notblue)=(7)/(10) = 70\%

Consider the diagram and the proof below.Given: In △ABC, AD ⊥ BC
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)

Answers

Answer:

c- the right triangle altitude theorem

Step-by-step explanation:

i did it on edge! ; )

3/4x = 1/5 .x =
Pls help I will give brainliest

Answers

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 (3)/(4) x = (1)/(5) x .

For step 1 we should subtract (1)/(5) x  on both sides.

(3)/(4) x - (1)/(5) x = (1)/(5) x - (1)/(5) x

= (11)/(20) x = 0

For step 2 we will multiply both sides by (20)/(11).

((20)/(11))x ((11)/(20)  x ) = ((20)/(11)) x \ (0)

= x = 0

Write the equation of each line in slope-intercept form.
(If possible please show work)

Answers

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

Write the equation of a parabola whose directrix is y=9.75 and has a focus at (8, 0.25).

Answers

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