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Paha777 [63]
2 years ago
7

In the diagram, Ray K QJKM is a straight angle.

Mathematics
1 answer:
mixas84 [53]2 years ago
3 0

The true statements about the diagram given are:

3. m∠JKL = 45°

4. m∠MKQ + m∠PKQ = m∠PKM

5. PK is an angle bisector

<h3>What is an Angle Bisector?</h3>

An angle bisector is a segment that divides a given angle into two parts that are congruent to each other.

The missing part of the question is in the image attached below.

In the image given, PK bisects the straight angle JKM since angles JKP and MKP both equal 90 degrees (right angle).

Therefore, m∠JKL = m∠PKL = 45°

m∠MKQ + m∠PKQ = m∠PKM based on the angle addition theorem.

Therefore, the true statements are:

3. m∠JKL = 45°

4. m∠MKQ + m∠PKQ = m∠PKM

5. PK is an angle bisector

(see image attached below)

Learn more about angle bisector on:

brainly.com/question/24677341

#SPJ1

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Alex777 [14]
Answer: Choice A

This is a 45-45-90 triangle so the hypotenuse is sqrt(2) times longer than the leg

hypotenuse = leg*sqrt(2)
hypotenuse = 12*sqrt(2)
3 0
4 years ago
The size of a TV is determined by the length of the diagonal of the TV. A 42" TV means the length from one corner to the other i
marusya05 [52]

Answer: height of TV = 21"

Width of TV = 36.372"

Step-by-step explanation:

The TV is rectangular and the diagonal divides the rectangle into 2 equal right angle triangles. The diagonal represents the hypotenuse of the right angle triangle. If the diagonal forms a 30 degree angle with the base of the TV, then the height of the TV represents the opposite side of the right angle triangle and the width of the TV represents the adjacent side of the right angle triangle.

To determine the height, h of the TV, we would apply the Sine trigonometric ratio.

Sin θ = opposite side/hypotenuse. Therefore,

Sin 30 = h/42

h = 42Sin30 = = 42 × 0.5

h = 21"

To determine the width, w of the TV, we would apply the

the cosine trigonometric ratio.

Cos θ, = adjacent side/hypotenuse. Therefore,

Cos 30 = w/42

w = 42Cos30 = 42 × 0.866

w = 36.372"

7 0
3 years ago
If Melanie jogs 12.8 miles in 4<br> days, what is her mileage per<br> day?
diamong [38]
3.2

divide 12.8 and 4
3 0
3 years ago
Hamid is playing a trivia game with multiple choice questions. Each question has 2 correct answers among 5
goblinko [34]

The probability that Hamid guesses both answers correctly is 10%.

Since Hamid is playing a trivia game with multiple choice questions, and each question has 2 correct answers among 5 answer choices, and Hamid has no idea what the answers to a certain question are, so he needs to choose two different answers at random, to determine what is the probability that Hamid guesses both answers correctly the following calculation must be performed:

  • 2/5 x 1/4 = X
  • 0.4 x 0.25 = X
  • 0.1 = X
  • 0.1 x 100 = 10

Therefore, the probability that Hamid guesses both answers correctly is 10%.

Learn more in brainly.com/question/22049333

6 0
3 years ago
Read 2 more answers
Anyone knows the answer
vesna_86 [32]

Answer:

it might be 390

Step-by-step explanation:

hope this helps

7 0
3 years ago
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