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liubo4ka [24]
3 years ago
11

Which set of angles can be used to construct a triangle?

Mathematics
2 answers:
Eddi Din [679]3 years ago
6 0
Depends on what kind of a triangle
Galina-37 [17]3 years ago
5 0

Answer:

The answer is b.

Step-by-step explanation:

This is because the sum of the three angles of a triangle are always 180 degrees so when you all the possibilities up to check you find out the only b adds up to 180.

You might be interested in
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
3 years ago
Read 2 more answers
1/3into a percent and a decimal
jeka57 [31]

Answer:

33% or .33

Step-by-step explanation:

Divide 1/3 = .3333 (repeating). I would round to the nearest hundreths place:

1/3 = .33

For the precentage, multiple 0.33 by 100:

100 * 0.33 = 33%

3 0
3 years ago
Consider a bell-shaped symmetric distribution with mean of 16 and standard deviation of 1.5. Approximately what percentage of da
fredd [130]

Answer: 95.45 %

Step-by-step explanation:

Given : The distribution is bell shaped , then the distribution must be normal distribution.

Mean : \mu=\ 16

Standard deviation :\sigma= 1.5

The formula to calculate the z-score :-

z=\dfrac{x-\mu}{\sigma}

For x = 13

z=\dfrac{13-16}{1.5}=-2

For x = 19

z=\dfrac{19-16}{1.5}=2

The p-value = P(-2

0.9772498-0.0227501=0.9544997\approx0.9545

In percent, 0.9545\times100=95.45\%

Hence, the percentage of data lie between 13 and 19 = 95.45 %

6 0
3 years ago
A number written in the form a + bi is called a _____ number.
postnew [5]
The answer is complex number

a complex number is 2 parts
1. the real part
2. the imaginary part

the real part is the 'a' part of the a+bi
the imaginary part is the 'bi' part of the a+bi

answer is A
(B means exponent is no higher than 1, C means exponent is 2, D means b^2-4ac)

answer is A
5 0
3 years ago
Si -x+y+z=75, entonces -(x+3)+(y-5)+(z-6)=
jenyasd209 [6]

Answer:

67

Step-by-step explanation:

● -(x + 3) + (y - 5) + (z - 6)

● -x - 3 + y - 5 + z - 6

● (-x + y + z) + (3 -5 -6)

● 75 + 3 - 11

● 78 - 11

● 67

8 0
3 years ago
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