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quester [9]
3 years ago
15

Someone help me and explain . this is confusing.

Mathematics
2 answers:
mezya [45]3 years ago
8 0

Answer: 5) ∠E = 75°, ∠R = 15°, ∠W = 90°

               6) An obtuse angle is greater than 90°. If there were 2 angles greater than 90°, then it could not be a triangle because the three angles would be greater than 180° and a triangle has three angles whose sum is 180°

              7a) KH, b)KC & CH, c) ∠C, d) ∠K

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

Since ER is the hypotenuse, then ∠W is the right angle ⇒ ∠W = 90°

 E                         ∠E = 5∠R

 |\                                                  ∠E  + ∠R = 90°

 |  \                                               5∠R + ∠R = 90°

 |    \                                                      6∠R = 90°

 |      \                                                      ∠R = 15°

 |<u>         \</u>

W           R              ∠E = 5∠R

                                   = 5(15°)

                                   = 75°          

*******************************************************************************

Since CK is perpendicular to CH, then ∠C is a right angle ⇒ ∠C = 90°

 K                        

 |\          a) the hypotenuse is KH        

 |  \        b) the legs are the perpendicular line segments (CK & CH)

 |    \      c)  see comment above (∠C = 90°)                                      

 |      \    d) ∠K + ∠H = 90°, therefore they are complimentary  ∠s

 |<u>         \</u>

C          H

pentagon [3]3 years ago
7 0

Answer:

on the image

Step-by-step explanation:

sorry for handwriting lol, hope this helps

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Answer:

The answer is below

Step-by-step explanation:

a) Triangle A is attached in the image below.

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Based on the calculations on the given expressions, the correct answers are as follows:

  1. Expression = 25/2 or 12.5.
  2. Difference = 5.
  3. n = 6.
  4. Expression = 31/15.
  5. Prime factorization of 96 = 2⁵ × 3¹.
  6. Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, and 48.
  7. Inequality = 2³ < 3².
  8. Total amount = $255.
  9. Expression = 5.

<h3>How to evaluate this expression?</h3>

In order to evaluate this expression, we would substitute the value of x into upper and lower part respectively and then simplify as follows:

Expression = (6x + 8)/(4x - 24)

Expression = (6(7) + 8)/(4(7) - 24)

Expression = (42 + 8)/(28 - 24)

Expression = 50/4

Expression = 25/2 or 12.5.

Next, we would translate the given word problem into an algebraic expression:

Difference = 10 - 5

Difference = 5.

To solve for the value of n in the given expression:

-15 + n = -9

n = -9 + 15

n = 15 - 9

n = 6.

Expression = 2/3 + 1 2/5

Expression = 2/3 + 7/5

Expression = (10 + 21)/15

Expression = 31/15.

Next, we would write the prime factorization of 96:

Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.

96 = 2 × 2 × 2 × 2 × 2 × 3

96 = 2⁵ × 3¹.

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, and 48.

<h3>How to determine the inequality symbol?</h3>

2³ __  3²  ≡  8 __ 9

Since 8 is less than 9, the inequality symbol which would complete the number sentence is < and it would be written as follows:

Inequality = 2³ < 3².

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Total amount = $255.

Finally, we would simplify the given expression:

Expression = 3² + 2(12 ÷ 4 - 2 + 3)

Applying BODMAS, we have:

Expression = 3² + 2(3 - 2 + 3)

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Expression = 3² + 2(-2)

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Expression = 5.

<h3>What is an expression?</h3>

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Read more on expressions here: brainly.com/question/28260012

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