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3 years ago

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 inside a triangle add up to 180°.

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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:

#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 commutative, 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 we're multiplying all four values together. 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 multiplication property of equality) to get

pquv = 23uv

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

pquv = 23(1/23)

The inverse property of multiplication 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 commutative property of multiplication 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