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geniusboy [140]
3 years ago
11

PLEASE HELP WILL MARK BRAINLIEST Abdul is making a map of his neighborhood. He knows the following information: His home, the mi

ddle school, and high school are all on the same street. His home, the elementary school, and his friend's house are on the same street. The angle between the elementary school, middle school, and his home is congruent to the angle between his friend's house, the high school, and his home. What theorem can Abdul use to determine the two triangles are similar?

Mathematics
1 answer:
Anna35 [415]3 years ago
5 0

Answer:

Triangle Proportionality Theorem

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally

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The perimeter of the triangle with those given lengths is x7-3
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Explain the differences between properties of equality
tatiyna

Answer:

In algebra, an equation is a mathematical expression that contains an equals sign. ... An inequality is a mathematical expression that contains inequality signs. For example, y≤ 12x is an inequality. Inequalities are used to tell us that an expression is either larger or smaller than another expression.

Step-by-step explanation:

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Use the discriminant to describe the roots of each equation. Then select the best description.
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The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).

<h3>How to determine the characteristics of the roots of a quadratic equation by discriminant</h3>

Herein we have a <em>quadratic</em> equation of the form a · x² + b · x + c = 0, whose discriminant is:

d = b² - 4 · a · c     (1)

There are three possibilities:

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If we know that a = 3, b = 7 and c = - 2, then the discriminant is:

d = 7² - 4 · (3) · (- 2)

d = 49 + 24

d = 73

The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).

To learn more on quadratic equations: brainly.com/question/2263981

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7 0
2 years ago
Which sequence of transformations will map figure K onto figure K′? Two congruent kites, figure K and figure K prime, are drawn
elixir [45]

Answer:

The sequence of transformations will map figure K onto figure K′

is the first sequence <u>option (1)</u>

======================================================

Step-by-step explanation:

See the attached figure

as shown in the figure the K' is the image of K by reflection over x-axis

<u>But </u> We need to know which sequence of transformations will give the same result.

So, we will test the options by any point from K and its image from K'

i.e: we will test the options using the points (6,5) , (6,-5)

(6,5) ⇒ (6,-5)

<u>option (1):</u>

Reflection across x = 4, 180° rotation about the origin, and a translation of (x + 8, y)

(6,5) ⇒ (2,5) ⇒(-2,-5) ⇒ (6,-5)

<u>option (2):</u>

Reflection across x = 4, 180° rotation about the origin, and a translation of (x − 8, y)

(6,5) ⇒ (2,5) ⇒(-2,-5) ⇒ (-10,-5)

<u>option (3):</u>

Reflection across y = 4, 180° rotation about the origin, and a translation of (x + 8, y)

(6,5) ⇒ (6,3) ⇒ (-6,-3) ⇒ (2,-3)

<u>option (4):</u>

Reflection across y = 4, 180° rotation about the origin, and a translation of (x − 8, y)

(6,5) ⇒ (6,3) ⇒ (-6,-3) ⇒ (-14,-3)

As shown: The sequence of transformations will map figure K onto figure K′

is the first sequence <u>option (1)</u>

7 0
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Read 2 more answers
What is the distance between the points (–4, 2) and (3, –5)?
Tanya [424]

Answer:

4 units

Step-by-step explanation:

8 0
3 years ago
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