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lozanna [386]
3 years ago
5

What is the length of AC ? 3ft 4ft 9ft 18ft

Mathematics
1 answer:
WINSTONCH [101]3 years ago
5 0

ΔACB and ΔMNB are similar. Therefore the corresponding sides are in proportion:

\dfrac{AC}{MN}=\dfrac{CB}{NB}\\\\MN=9\ ft\\CB=2\cdot3\ ft=6\ ft\\NB=3\ ft

Substitute:

\dfrac{AC}{9}=\dfrac{6}{3}\\\\\dfrac{AC}{9}=2\ \ \ \ |\cdot9\\\\AC=18\ ft

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It cost $246 to turf a lawn of 43m ² . how much will it cost to turf a lawn of 61m square 2 .​
ArbitrLikvidat [17]

Answer:

$348.96

Step-by-step explanation:

246÷43=5.72

61-43=18

18×5.72=102.96

102.96+246=348.96

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3 years ago
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MrMuchimi
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professor190 [17]

Answer:

\textsf{a.} \quad \overleftrightarrow{AV} \; \textsf{and} \; \overleftrightarrow{RV}

\textsf{b.} \quad STZ, \; RTZ, \;QTZ

\textsf{c.} \quad A, R\; \textsf{and}\; V

\textsf{d.} \quad Q,S,T \; \textsf{and}\; Z

\textsf{e.} \quad \overline{AR}

\textsf{f.} \quad \overrightarrow{RA} \; \textsf{and} \; \overrightarrow{RV}

Step-by-step explanation:

<h3><u>Part a</u></h3>

A line can be named by using two points on the line or by a (lowercase) letter.

Therefore, two other names for line p are:

  • \overleftrightarrow{AV}
  • \overleftrightarrow{RV}

<h3><u>Part b</u></h3>

A plane can be named by using three non-collinear points in the plane or by a (capital script) letter.

Therefore, three other names for plane <em>W</em> are:

  • STZ
  • RTZ
  • QTZ

<h3><u>Part c</u></h3>

Collinear points are points that lie on the same line.

The collinear points on the given diagram are: A, R & V, and S, R & Q.

Therefore, three points that are collinear are:

  • A, R and V

<h3><u>Part d</u></h3>

Coplanar points are <u>three or more points</u> that lie in the same plane.

The coplanar points on the given diagram are: Q, R, S, T and Z

Therefore, four points that are coplanar are:

  • Q, S, T and Z

<h3><u>Part e</u></h3>

A line segment is part of a line that has two endpoints, and is named by its two endpoints.

The line segments on the given diagram are:

\overline{AR}, \;\overline{RV}, \; \overline{AV}, \; \overline{SR}, \; \overline{RQ} \; \textsf{and}\; \overline{SQ}.

Therefore, a line segment is:

  • \overline{AR}

<h3><u>Part f</u></h3>

A ray is a part of a line that has one endpoint (so continues infinitely in the direction without an endpoint).  

Opposite rays are two rays that have a common endpoint and form a line.  They are named by the common endpoint followed by any other point on each ray.

The pairs of opposite rays on the given diagram are:

\overrightarrow{RA} \; \textsf{and} \; \overrightarrow{RV}, \quad \overrightarrow{RS} \; \textsf{and} \; \overrightarrow{RQ}

Therefore, a pair of opposite rays are:

  • \overrightarrow{RA} \; \textsf{and} \; \overrightarrow{RV}
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A sequence has a second term of -8 and a common difference of 5.
Marina CMI [18]
The answer -3 5-8=-3
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Write the quadratic equation in standard form: -2x-12=-x^2
Soloha48 [4]

Answer:

¯\_(ツ)_/¯

explainations completely right

3 0
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