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Tema [17]
4 years ago
8

Any help would be great!

Mathematics
2 answers:
Virty [35]4 years ago
6 0

Answer:

D

Step-by-step explanation:

bearhunter [10]4 years ago
3 0

A dilation transforms an object by making it larger or smaller. When you increase a pre-image to create a larger image, the dilation is called an enlargement. When you decrease the pre-image to create a smaller image, the dilation is called a reduction.

When dilating a triangle the side lengths change because the pre-image is enlarged or reduced to create the image. Therefore, the lengths of each side will change. However, the angle measures of a preimage and its image after dilation do not change (angles do not change in dilation).

with this information we can easily get rid of A & C. betweenness of points don't tell us if the shapes are congruent or not. So therefore D is the answer.

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Interior angle is (12x+12)°.
Jobisdone [24]
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3 years ago
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In the figure below, CD bisects m∠ACB, AB=BC, m∠BEC=90°, and m∠DCE=42°. Find the measure of ∠A.
vesna_86 [32]

Answer:  ∠A= 24\textdegree

Step-by-step explanation:

Since we have given that

CD bisects m∠ACB,

⇒  m∠ACD= m∠DCB =x (say)

And, AB=BC, m∠BEC=90°, and m∠DCE=42°

So,

m∠CAD=m∠ACD

In ΔDCE,

\angle DCE+\angle CED+\angle CDE=180\textdegree\\\\(\text{Sum of anlges in triangle is }180\textdegree)\\\\42\textdegree+90\textdegree+\angle CDE=180\textdegree\\\\132\textdegree+\angle CDE=180\textdegree\\\\\angle CDE=180\textdegree-132\textdegree\\\\+\angle CDE=48\textdegree

Now, in  ΔACD,

x+x=48\textdegree\\\\2x=48\textdegree\\\\\text{( Sum of interior anlges is equal to exterior angles )}\\\\x=\frac{48}{2}\\\\x=24\textdegree

Hence , ∠A= 24\textdegree

8 0
3 years ago
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alexdok [17]

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Step-by-step explanation:

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Drupady [299]

Answer:

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Step-by-step explanation:

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igor_vitrenko [27]

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Step-by-step explanation:

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