1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andreyy89
3 years ago
9

Can anyone solve the 8th question given below??? Urgent!!

Mathematics
1 answer:
Dafna1 [17]3 years ago
8 0

Answer:

AY = 10 cm.

Step-by-step explanation:

Given that, ΔABC is similar to ΔAXY

and \frac{AB}{AX }  = \frac{5}{3}

⇒  \frac{AC}{AY }  =  [tex]\frac{BC}{XY } = \frac{5}{3}

⇒ BC = XY× \frac{5}{3}[/tex] =  \frac{20}{3}[/tex] (as XY = 4 cm given)

Now, check the attached figure,

given, BY bisects ∠XYC

let ∠XYB = ∠BYC = x

⇒ ∠AYX = 180-2x (angle on a straight line)

and also ∠AYX = ACB (similar triangle properties)

⇒ ∠ACB = 180-2x

Now, sum of angles in ΔBYC = 180°

⇒ ∠YBC = x

⇒ BC = YC (as two sides of equal angles are equal in a triangle)

⇒ YC =  \frac{20}{3}[/tex]

And also \frac{AC}{AY }  = \frac{5}{3}

AC = AY + YC

⇒ \frac{AY+YC}{AY }  = \frac{5}{3}

⇒ \frac{AY+\frac{20}{3}}{AY }  = \frac{5}{3}[/tex]

⇒ 5AY = 3AY + 20

⇒ AY = 10 cm

You might be interested in
Tomatoes are on sale for 3 lb for$1.09 how much wil 5 lb of tomatoes cost
jarptica [38.1K]

<u>3lb/$1.09</u>

3       3

1lb/$0.363

1lb x 5/ $0.363 x 5

Answer - 5lb/$1.815

4 0
3 years ago
The angle measures and/or side lengths of a triangle are described. Determine whether the conditions given
allsm [11]

Answer:

no such tryangle

Step-by-step explanation:

the sum of any 2 sides must be grater then the 3ed

3 0
3 years ago
What reason does Frederick Lugard use to justify British imperialism?
USPshnik [31]
His opinion was that christianity needed to be spread

5 0
3 years ago
Read 2 more answers
Name The constant in the expression <br> 2X^4+3X^3-5X^2-8X+12
Vitek1552 [10]

the constant term is 12

All the other terms have variables attached to them

6 0
3 years ago
4) Sumalee had some candy to give to her
jonny [76]

Answer:

31 pieces

Step-by-step explanation:

6 + 5 x 5 = 31

5 0
3 years ago
Other questions:
  • Cual es la formula de aceleracion
    12·1 answer
  • Determine whether the given limit leads to a determinate or indeterminate form. HINT [See Example 2.]
    10·1 answer
  • Decide whether the rates are equivalent 30 beats per 20 seconds, 90 beats per 60 seconds. Show your work.
    7·2 answers
  • What is 61 ones times1/10
    7·2 answers
  • A leaking bucket is filled to 3/4 capacity. After some time, 1/2 of the water has leaked out. What fraction of the water leaked
    10·1 answer
  • Anyone know this plzz
    9·1 answer
  • Find the measure of
    13·2 answers
  • Convert 12 inches to millimeters (to the nearest tenth).
    9·2 answers
  • Is -41 a whole number
    7·1 answer
  • Solve the system y = -x + 7 and y = -0.5(x - 3)2 + 8
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!