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Olenka [21]
2 years ago
5

Consider the triangle below.

Mathematics
1 answer:
Pepsi [2]2 years ago
7 0

The measure of angle P is 29 degrees

The sum of an interior angle of a triangle is 180 degrees. Given the following parameters:

  • m<M = 15x + 5
  • m<N = 3x + 2
  • m<P = 5x - 11

Taking the sum and equating to 180 degrees:

m<M + m<N + m<P = 180 degrees

15x + 5 + 3x + 2 + 5x - 11 = 180

23x - 4 = 180

23x = 184

x = 184/23

x = 8

Get the measure of m<P

m<P = 5x - 11

m<P = 5(8) - 11

m<P = 40 - 11

m<P = 29 degrees

Hence the measure of angle P is 29 degrees

Learn more on angles here: brainly.com/question/25770607

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The park shown is in the shape of a square. Is the perimeter rational or irrational? Area = 24,200 yd 2
romanna [79]

Answer:

Perimeter is irrational

<em></em>

Step-by-step explanation:

<em>The attachment is missing but the question is still answerable</em>

Given

Area = 24200 yd^2

Required

Determine if the Perimeter is rational or not

First, we need to determine the sides of the square;

Area = Length * Length

Substitute Area = 24200 yd^2

24200 = Length * Length

24200 = Length^2

Take Square root of both sides

\sqrt{24200} = Length

Length = 155.563492

The perimeter of a square is calculated as:

Perimeter = 4 * Length

Perimeter = 4 * 155.563492

Perimeter = 622.253968

<em>Because the value of </em><em>perimeter </em><em>can't be gotten by dividing two integers, then </em><em>perimeter is irrational</em>

4 0
3 years ago
John lives on the side of a mountain and the elevation of his residence is 1025 feet above sea level. His brother lives in a dee
aliina [53]
1025ft above Sea Level is John
25ft below Sea Level is his Brother

1025ft + 25ft = 1050ft
Thats the difference in altitude
3 0
3 years ago
Read 2 more answers
Plz, help ASAP!!!!!!<br> WILL MARK BRAINLIEST IF YOUR ANSWER IS CORRECT!!!!!!
Mekhanik [1.2K]

Blank 1: Given

Blank 2 : AD is parallel to BC

Blank 3: <3≅<2

Blank 4: Transitive property of convergence

Blank 5: Definition of Bisect

Step-by-step explanation:

We need to fill in the blanks from the given options.

Blank 1:

ABCD is a parallelogram

This is given

So, blank 1: Given

Blank 2:

A parallelogram have parallel sides i.e in the given parallelogram AD is parallel to BC and AB is parallel to DC

So, Blank 2 : AD is parallel to BC

Blank 3:

We are given <3≅<2

So, Blank 3: <3≅<2

Blank 4:

We know, <1≅<3 and <3≅<2 using transitive property (A≅B and B≅C then A≅C)

So, <1 ≅ <2 is due to transitive property of convergence

Blank 4: Transitive property of convergence

Blank 5:

DC bisects <ADE

A bisect is an line or angle that divides into exactly two parts.

So, Blank 5: Definition of Bisect

Keywords: parallelogram, bisection

Learn more about parallelogram at:

  • brainly.com/question/13063819
  • brainly.com/question/3617539

#learnwithBrainly

4 0
3 years ago
Jamie purchased a DVD that was on sale for 15% off. The sales tax in her county is 5%. Let y represent the original price of the
Mamont248 [21]
0.05(0.85y)=5%(of the onsale dvd) and a is just the on sale dvd (85%)
8 0
3 years ago
Evaluate 2 tan 45 - tan 60​
Darya [45]

Answer:

2 - √3

Step-by-step explanation:

tan45 = 1

tan60 = √3

2 tan 45 - tan 60​

2(1) - √3

=> 2 - √3

6 0
3 years ago
Read 2 more answers
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