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777dan777 [17]
4 years ago
9

Pravat used parking cones to set up a rectangular football field in the park. However, when his friend Brian arrived at the park

, he told Pravat that they should dilate the field by ¼. Which best describes the changes that Brendan and Poorav will make to the side lengths and interior angles of the football field?
a. Both the side lengths and the interior angles will change.
b. The interior angles will change, but the side lengths will remain the same.
c. The interior angles will remain the same, but the side lengths will change.
d. Neither interior angles nor side lengths will change.
Mathematics
1 answer:
makkiz [27]4 years ago
4 0

Answer:

C

Step-by-step explanation:

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If point E is the midpoint of and point D is the midpoint of , which expression represents the value of s
iogann1982 [59]

The length of ED is half the length of AB.

<h3>What is the length?</h3>
  • Distance is measured by length.
  • Length is a quantity with the dimension distance in the International System of Quantities.
  • Most measurement systems use a base unit for length from which all other units are derived.
  • The meter is the foundation unit of length in the International System of Units.

Reasons:

The given parameters are;

In ΔABC, point E is the midpoint of AC

The midpoint of BC is the point D

Segment ED = s

Segment CE = p

Segment EA = r

Segment CD = q

Segment DB = t

Segment ED = s

Segment AB = u

Required:

The expression that represents the value of s.

Solution:

CE = 0.5 × AC Definition of midpoint

CD = 0.5 × CB Definition of midpoint

Therefore, we have;

\frac{CE}{AC} =\frac{CD}{CB} =0.5

Therefore, given that ∠C ≅ ∠C, by the reflexive property, we have;

ΔABC is similar to ΔCDE by Side-Angle-Side similarity

Which gives;

\frac{CE}{AC} = \frac{CD}{CB}  = \frac{ED}{AB} =0.5=\frac{1}{2}

ED = s and AB = u which gives;

\frac{ED}{AB}=\frac{s}{u}  =0.5=\frac{1}{2}

\frac{s}{u} =\frac{1}{2}

Which gives:

s=\frac{1}{2} *u

The expression that represents the value of s is; s = one-half u

Therefore, the length of ED is half the length of AB.

Know more about the length here:

brainly.com/question/2217700

#SPJ4

The question you are looking for is here:

If point E is the midpoint of segment AC and point D is the midpoint of segment BC, which expression represents the value of s? triangle CAB, point E is on segment AC between points A and C and point D is on segment BC between points B and C, creating segment ED, CE equals p, EA equals r, CD equals q, DB equals t, ED equals s, and AB equals u s equals p over q s = one half s equals q over p s = 2u

7 0
2 years ago
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