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MAXImum [283]
3 years ago
10

How do you prove that angles are parallel?

Mathematics
2 answers:
3241004551 [841]3 years ago
7 0

Answer:#1

if corresponding angles are congruent


#2

if alternate interior angles are congruent


#3

if consecutive, or same side, interior angles are supplementary


#4

if two lines are parallel to the same line


#5

if two lines are perpendicular to the same line


#6

if alternate exterior angles are congruent




olasank [31]3 years ago
7 0
They alone in a perfect looking manner
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A ball is tossed between three friends. The first toss is 8.6 feet, the second is 5.8 feet, and the third toss is 7.5 feet, whic
Rainbow [258]

angles formed by these tosses are  79.45, 59.02 and 41.53 degrees to the nearest hundredth.

<u>Step-by-step explanation:</u>

Here , We have a triangle with sides of length 8.6 feet, 5.8 feet and 7.5 feet.

The Law of Cosines (also called the Cosine Rule) says:

c^2 = a^2 + b^2 - 2ab (cosx)

Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:

⇒ c^2 = a^2 + b^2 - 2ab (cosx)

⇒ c^2 -a^2 - b^2 = -2ab (cosx)

⇒ (cosx) =\frac{ c^2 -a^2 - b^2}{ -2ab}

⇒ (cosx) =\frac{(8.6^2 - 5.8^2 - 7.5^2)}{ ( -2(5.8)7.5)}

⇒ (cosx) =0.18310

⇒ cos^{-1}(cosx) = cos^{-1}(0.18310)

⇒ x = 79.45

The Law of Sines (or Sine Rule) is very useful for solving triangles:

\frac{a}{sin A} = \frac{ b}{sin B} =  \frac{c}{sin C}

We can now find another angle using the sine rule:

⇒\frac{ 8.6 }{ sin 79.45} = \frac{7.5}{ sin Y}

⇒sin Y = \frac{(7.5 (sin 79.45))}{  8.6}

⇒Y = 59.02 degrees

So, the third angle =180 - 79.45 - 59.02 = 41.53 degrees.

Therefore, angles formed by these tosses are  79.45, 59.02 and 41.53 degrees to the nearest hundredth.

4 0
3 years ago
Jan's average score after fifteen tests was 82. Her average on the next five tests was 90. What was her average score for all tw
Leokris [45]

Answer:

86

Step-by-step explanation:

82+90=172

172/2 (divided by two because thats how many numbers we added up to get 172)

172/2=86

86 is your answer

4 0
3 years ago
Eloise bought 3 boxes of crackers to share with her friends over the weekend. They ate 1/2 box of crackers on Saturday and 2/3 b
sveticcg [70]

Answer:

C.) 1 5/b boxes

Number of boxes left over

= 3 - 1/2 - 2/3

Convert each  fraction to one in terms of the LCM:

= 18/6 - 3/6 - 4/6

= 11/6

= 1 5/6 boxes.

4 0
3 years ago
∠K and ∠L are complementary angles. If m∠K = 3x + 3 and m∠L = 10x – 4, find the measures of both angles.
Oduvanchick [21]

Answer:

∠K =24

∠L =66

Step-by-step explanation:

first you need to find X in order to solve.

since they are Complementary they add together to equal 90 degrees

so we can set them equal to 90

13x-1=90

13x=91

x=7

now we can plug them in!

---

∠K = 3(7)+3 = 24

∠L =10(7)-4=66

4 0
3 years ago
Which segment is parallel to AD
Alex73 [517]

Answer:

BC

Parallel: Two sides or lines are parallel if they are lines that are always the same distance from each other and will never intersect or touch      

8 0
3 years ago
Read 2 more answers
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