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
Vikentia [17]
3 years ago
7

Consider the polygon shown. Determine the value of y. PLEASE HELP​

Mathematics
1 answer:
Montano1993 [528]3 years ago
8 0

Answer:

y = 64°

Step-by-step explanation:

From the picture attached,

m(∠E) = 90°

m(∠E) = m(∠D)

m(∠B) + 67° = 180° [pair of linear angles]

m(∠B) = 113°

m(∠C) + 75° = 180°

m(∠C) = 180° - 75°

           = 105°

Since, sum of interior angles of a polygon = (n - 2) × 180°

Here, n = number of sides

For n = 5,

Sum of interior angles = (5 - 2) × 180°

                                     = 540°

m(∠A) + m(∠B) + m(∠C) + m(∠D) + m(∠E) = 540°

m(∠A) + 113° + 105° + m(∠D) + 90° = 540°

(m∠D) + m(∠D) = 540 - 308 [Since, m(∠A) = m(∠D)]

2(m∠D) = 232

m(∠D) = 116°

m(∠D) + y° = 180° [Linear pair of angles]

116 + y = 180

y = 64°

You might be interested in
What is x and Y please answer with your work shown... this type of math is bogus smh ‍♀️
Nata [24]

Answer:

<em>x = 55 ; y = 60</em>

Step-by-step explanation:

4 0
3 years ago
Nathan has four brown teddy bears, 5 pink teddy bears and 3 red teddy bears in his shop. Two teddy bears are bought, one at a ti
Dahasolnce [82]

Answer:

2

Step-by-step explanation:

4 0
3 years ago
A coin is flipped 20 times. It lands on heads 11 times and tails 9 times. What is the theoretical probability that you will flip
lara [203]

Answer:

11/20

Step-by-step explanation:

probability-- number of favourable outcome/ number of total outcome

probability--11/20

8 0
3 years ago
Collin's Cambridge IGCSE Maths
Dafna11 [192]

Volume of Sphere

6231 spheres can be made from 1 kg of lead

Step-by-step explanation:

Given Density of lead d = 11.35 gm/cm³

Let the maximum number of spheres that can be made with 1 kg of lead = n

Radius of sphere r = 1.5 mm = 0.15 cm

Volume of Sphere = 4/3  \pi  r^{3} \\

Volume of one sphere V = (4/3) * 22.7 * r³

Volume of n spheres = n * (4/3) * 22.7 *r³    ….. Eq (1)

Total mass of lead m = 1kg = 1000gm ...Eq (2)

Equating the above two equations

n × V × d = m

n × (4/3) × 22.7 × ( 0.15 )³ = 1000

Therefore calculating n= 6231.45

But considering the whole number, 6231 spheres can be made from 1 kg of lead.

3 0
3 years ago
What is 8 exponent 4​
SashulF [63]

Answer:

4096

Step-by-step explanation:

8*8*8*8

^       ^

64*64 = 4096

5 0
3 years ago
Other questions:
  • What is 2.4 divided by 0.08
    10·2 answers
  • The copy machine in your office can produce 22,400 copies in 7 hours.
    14·2 answers
  • An object is translated by (x + 4, y - 2). If one point in the image has the coordinates (5, -3), what would be the coordinates
    7·2 answers
  • Dove lotion is $26.50 for a 24 oz bottle and $25 for a 22 oz bottle which is the better buy by how many ounces
    5·1 answer
  • 1 fourth of dr difference between 2 thirds and 1 half
    13·1 answer
  • X – 9 = 2(x – 3) + 12​
    15·1 answer
  • Please help meeeee please I need help ???????
    5·2 answers
  • Janna and Travon are creating posters for the school play. Together they will have f(t) posters after creating posters for t hou
    12·1 answer
  • Draw the line of reflection that reflects quadrilateral ABCD onto quadrilateral A'B'C'D
    6·1 answer
  • Using a mathematical table evalutate the square root of 0.792
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!