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garri49 [273]
3 years ago
7

Find the number of sides when:

Mathematics
1 answer:
svp [43]3 years ago
7 0
((n-2)×180)/n = 156
(n-2)×180=156n
24n =360
n =15

360/n =36
n = 10

a)15 b)10
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❗️❗️❗️❗️ <br> PLEASE HELP I WILL REWARD YOU AS BRAINLY
Fudgin [204]
Your answer:1/5 Hope this helps!
3 0
3 years ago
T-shirts are on sale for $4 off he regular price. Jeb buys 5 T-shirts for a total of 45.05, including a 6% sales tax. Which equa
Ksenya-84 [330]

Answer:

1.06 × 5(r-4) = 45.05

Step-by-step explanation:

Let r represents the regular price of each T-shirt,

After getting $ 4 off in regular price,

New price of each T-shirt = r - 4,

Thus, new price of 5 T-shirts = 5 × price of each T-shirt

= 5(r - 4)

Since, there is 6% sales tax,

Then, the final price after discount = 5(r - 4) + 6% of (5(r-4))

= 5(r-4) + 0.06(5(r-4))

= 1.06 × 5(r-4)

According to the question,

1.06 × 5(r-4) = 45.05

Which is the required equation.

5 0
3 years ago
100 POINTS + BRAINLIST
mojhsa [17]

Problem 1

Since point P is the tangent point, this means angle OPT is a right angle

angle OPT = 90 degrees

Let's use the Pythagorean theorem to find the missing side 'a'

a^2 + b^2 = c^2

a^2 + 7^2 = 12^2

a^2 + 49 = 144

a^2 = 144 - 49

a^2 = 95

a = sqrt(95)

a = 9.7467943

a = 9.7

----------------

Let's use the sine and arcsine rule to find angle y

sin(angle) = opposite/hypotenuse

sin(y) = 7/12

y = arcsin( 7/12 )

y = 35.6853347

y = 35.7

The value of y is approximate. Make sure your calculator is in degree mode. Arcsine is the same as inverse sine or \sin^{-1}

====================================================

Problem 2

Focus on triangle OHP. This may or may not be a right triangle. The goal is to test if it is or not.

We use the converse of the Pythagorean theorem to check.

Recall that the converse of the Pythagorean theorem says: If a^2+b^2 = c^2 is a true equation, then the triangle is a right triangle. The value of c is always the longest side. The order of a and b doesn't matter.

In this case we have

  • a = 7
  • b = 13
  • c = 16

Which leads to

a^2 + b^2 = c^2

7^2 + 13^2 = 16^2

49 + 169 = 256

218 = 256

We get a false equation at the end, since both sides aren't the same number, which means the original equation is false.

We don't get a^2 + b^2 = c^2 to be true, therefore this triangle is not a right triangle.

Consequently, this means angle OPH cannot possible be 90 degrees (if it was then we'd have a right triangle). Therefore, point P is not a tangent point.

You follow the same basic idea for triangle OQH and show that point Q is not a tangent point either. Or you could use a symmetry argument to note that triangle OPH is a mirror reflection of triangle OQH over the line segment OH. This implies that whatever properties triangle OPH has, then triangle OQH has them as well for the corresponding pieces.

7 0
2 years ago
Read 2 more answers
C is 8 more than half than n
cestrela7 [59]
1/2n+8=c one half of n plus 8 equals c
7 0
3 years ago
Please help me solve my problem!!!
Nookie1986 [14]

Answer:

B. sometimes

Step-by-step explanation:

Consecutive angles of a parallelogram are same side interior angles of two parallel lines cut by a transversal, so they are always supplementary.

Supplementary angles are two angles whose measures add to 180 deg.

If two angles are supplementary and one angle measures 90, then the other angle also measures 90 deg, and the two angles are congruent. If one angle measures less than 90 deg, then the other measure more than 90 deg and are not congruent. Therefore, these angles may or may not be congruent.

Answer: sometimes

7 0
3 years ago
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