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mihalych1998 [28]
3 years ago
5

Could someone explain and help

Mathematics
1 answer:
vichka [17]3 years ago
8 0

Answer:

  80°

Step-by-step explanation:

The sum of the two angles (red and blue) is 145°, so you have ...

  (4x +5)° +(6x -10)° = 145°

  10x = 150 . . . . . . . . divide by °, add 5, simplify

  x = 15 . . . . . . . . . . . divide by 10

Then the measure of the angle of interest is ...

  m∠XMN = (6x -10)° = (6·15 -10)° = 80°

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Line is different from line segment or a ray. The given lines MR and XY are best described by: Option A: The lines intersect at a 90° angle.

To get to know about intersection of MR and XY, we need to know what a line is.

<h3>What is line, line segment and a ray?</h3>
  • A line usually refers to infinite lenghted straight line in the Euclidean space.
  • A line segment is a segment (of finite length) of a line.
  • A ray is has fixed on endpoint, but it extends infinitely from the other endpoint, so no other endpoint at all.

<h3>When does two lines intersect?</h3>

If they are not parallel (having 0 degree angle between each other) and not coincident (not lying over each other), then those two lines always intersect.

Since the considered lines MR and XY are said to be perpendicular (having 90° angle between them, thus, they will intersect each other).

Therefore, the given lines MR and XY are best described by: Option A: The lines intersect at a 90° angle.

Learn more about angle between two lines here:

brainly.com/question/24329241

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If a person invests $100 at 4% annual interest, find the approximate value of
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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

Simple Interest Rate Formula: \displaystyle A = P(1 + rt)

  • <em>P</em> is principle amount
  • <em>r</em> is rate
  • <em>t</em> is time

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>P</em> = 100

<em>r</em> = 4% = 0.04

<em>t</em> = 10

<u>Step 2: Find Interest</u>

  1. Substitute in variables [Simple Interest Rate Formula]:                                 A = 100(1 + 0.04 · 10)
  2. (Parenthesis) Multiply:                                                                                      A = 100(1 + 0.4)
  3. (Parenthesis) Add:                                                                                            A = 100(1.4)
  4. Multiply:                                                                                                             A = 140
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Use the division algorithm and your estimate to find the quotient: 1,908 ÷ 36.
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