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Luda [366]
3 years ago
7

The amusement park won't allow kids to ride

Mathematics
1 answer:
n200080 [17]3 years ago
6 0
I think the answer is C
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50 Points: Name the similar triangles & Prove the similarity with details
Leno4ka [110]

<u>Let's consider the facts at hand</u>:

  • By Vertical Angle Theorem ⇒ ∠BCE = ∠DCF
  • ∠BEC = ∠DFC
  • Sides BE = DF

<u>Based on the diagram, triangles BCE and triangles DCF are similar</u>

   ⇒ based on the Angle-Angle theorem

      ⇒ since ∠BCE = ∠DCF and ∠BEC = ∠DFC

         ⇒ the two triangles are similar

Hope that helps!

<em>Definitions of Theorem I used:</em>

  • <u><em>Vertical Angle Theorem: </em></u><em>opposite angles of two intersecting lines must be equal</em>
  • <u><em>Angle-Angle Theorem:</em></u><em> if two angles of both triangles are equal, then the given triangles must be similar</em>

<em />

     

8 0
2 years ago
I need to simplify it
aivan3 [116]
3a^2 B^3 C^-2 OVER a^-3 b^6 c^3
7 0
3 years ago
Find the area of each figure. round to the hundredths place when necessary
notsponge [240]

Answer:

115.48m^{2}

Step-by-step explanation:

This shape can be split into two distinct shapes

Two halves of a semi circle, and a rectangle in between

Circle:

Putting both halves of the semi circle together will give you a full circle. The diameter of the circle is given (7m).

The area of a circle is A = π r^{2}

The radius, r, is half of the diameter, so 7 / 2 = 3.5m

A = π r^{2}

A = π * 3.5^{2}

A = 38.38m^{2}

Rectangle:

The area of a rectangle is A = h b

The height, h, is known at 7m

The base, b, can be found by removing the length from the dot to the end of the semi circles. This length is the radius of the semi circles, 3.5m

Removing the radius from the total length given

18 - 3.5 - 3.5 = 11m

The base is 11m

A = h b

A = 7 * 11 = 77m^{2}

Total Area = Circle area + Rectangle area

Total Area = 38.38 + 77 = 115.48m^{2}

6 0
3 years ago
A graduated commission employee makes 3.5% interest on the first $50,000 in sales and 6.5% interest on all sales over $50,000. W
masha68 [24]

Answer:

7th Grade ELAR Snapshot

Step-by-step explanation:

6 0
2 years ago
CAN YOU HELP ME PLEASEEEE ITS GEOMETRY!!! THANK YOUUU
SVEN [57.7K]

Answer:

117

Step-by-step explanation:

The angles line up~ P is the same as angel I.

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2 years ago
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