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slavikrds [6]
3 years ago
12

How do you use the triangle sum theorem to find the measure of each angle in degrees ?!

Mathematics
1 answer:
TEA [102]3 years ago
6 0

Answer:

The Triangle Sum Theorem is also called the Triangle Angle Sum Theorem or Angle Sum Theorem. It says that all the angles <em>inside</em> a triangle add up to 180°.

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

Take a look at the picture attached. It has a "formula": ∠a+∠b+∠c=180°

Use this as it will help you a lot. You plug in the info you already know (it doesn't matter which angle is a,b,c) and solve for the missing one. :)

Ask in the comments below if you are not sure about something.

I hope that helps you! :D


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Please help
zavuch27 [327]

Answer:

Option (6). HL

Step-by-step explanation:

Given:

From the right triangles ΔBAC and ΔBDC,

AC ≅ CD

∠A = ∠D = 90°

To Prove:

ΔBAC ≅ ΔBDC

            Statements                       Reasons

1). AC ≅ DC                        1). Given

2). BC ≅ BC                       2). Reflexive property

3). ΔABC ≅ ΔBDC            3). By HL property of congruence of right triangles

Therefore, Option (6) HL will be the correct option.                              

8 0
3 years ago
1). 21 is what percent of 168. 4) what number is 62 percent of 50
malfutka [58]

1) 21 is 12.50% of 168.

2) 4% of 150 is 6.

3) 1% of 500 is 5.

4) 62% of 50 is 31.

5) 15% of 15 is 2.25

6) 40 percent of 25 is 10.

Step-by-step explanation:

1). 21 is what percent of 168.

Let,

x be the percent.

Therefore,

x% of 168 = 21

\frac{x}{100}*168=21

1.68x=21

Dividing both sides by 1.68

\frac{1.68x}{1.68}=\frac{21}{1.68}\\x=12.50

21 is 12.50% of 168.

2). What is 4 percent of 150.

4% of 150 = \frac{4}{100}*150

4% of 150 = \frac{600}{100} = 6

4% of 150 is 6.

3) 1 percent of 500 is what number

1% of 500 = \frac{1}{100}*500

1% of 500 is 5.

4) what number is 62 percent of 50

62% of 50 = \frac{62}{100}*50

62% of 50 = 0.62*50=31

62% of 50 is 31.

5) 15 percent of 15 is what

15% of 15 = \frac{15}{100}*15

15% of 15 = \frac{225}{100}=2.25

15% of 15 is 2.25

6) 40 percent of 25 is what number

40% of 25 = \frac{40}{100}*25

40% of 25 = \frac{1000}{100}=10

40 percent of 25 is 10.

Keywords: percentage

Learn more about percentage at:

  • brainly.com/question/10081622
  • brainly.com/question/10341324

#LearnwithBrainly

4 0
4 years ago
If pq = 23 and uv = 1/23, find the value of u×q×v×p. Explain which properties you used
zhannawk [14.2K]

Remember that multiplication is <em>commutative</em>, which means the order in which we multiply things doesn't matter.

The order of u × q × v × p (which we can abbreviate uqvp) isn't as important as the fact that <em>we're multiplying all four values together</em>. We could just as easily rewrite the expression as pquv, and it'd represent the same value.

To find this value then, we can simply multiply pq and uv - the values we already know - together.

If we start with the expression pq = 23, we can multiply either side by uv (taking advantage of the <em>multiplication property of equality) </em>to get

pquv = 23uv

And since we know that uv = 1/23, we can use the <em>substitution property of equality</em> to replace the uv on the right side with 1/23:

pquv = 23(1/23)

The <em>inverse property of multiplication </em>states that any number multiplied by its inverse (its reciprocal) gives us 1. 23 and 1/23 are reciprocals of each other, so 23(1/23) = 1, which means

pquv = 1

Finally, going back to the second paragraph, we can use the <em>commutative property of multiplication </em>to rearrange the left side of the equation, giving us the solution

uqvp = 1

3 0
3 years ago
2) Choose the best answer.
kati45 [8]

Answer:

  B. 15 m^3

Step-by-step explanation:

The volume of a rectangular prism is the product ...

  V = lwh

For the given values of l, w, h, the volume is ...

  V = (5 m)(1 m)(3 m) = 15 m^3

8 0
2 years ago
UnansweredIf Measure of angle a is 155°, what is Measure of angle c?
Gnom [1K]

Answer: 155°

because ∠a and ∠c are 2 opposing angles => m∠a = m∠c = 155°

Step-by-step explanation:

8 0
3 years ago
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