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Thepotemich [5.8K]
3 years ago
10

The triangles are similar by:

Mathematics
1 answer:
Tamiku [17]3 years ago
8 0

Answer:

E. by the SAS similarity theorem.

Step-by-step explanation:

Included angle x° in ∆ ABC ≅ included angle x° in ∆EDC (vertical angles are equal)

DC/BC = 240/150 = 1.6

EC/AC = 320/200 = 1.6

This implies that the ratio of two corresponding sides of both triangles are the same.

Two triangles are considered similar to each other by the SAS similarity theorem of they have a corresponding included angle that is equal and two corresponding sides that are congruent to each other. Therefore, both triangles are similar by the SAS similarity theorem.

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Please read the following picture below and use 3.142 instead of <img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFormula1" title
Marina86 [1]

Check the picture below.

now, let's notice the larger "yellow" semicircle, it has a gap, the gap on the right is of a semicircle with a diameter of 10, BUT it also has a descender on the left, a part that's hanging out, that part is also a semicircle.

so if we use the descending semicircle to fill up the gap on the right, we'll end up with a filled up larger semicircle, whose diameter is 20, and whose radius is 10 cm.

\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=10 \end{cases}\implies A=\pi 10^2\implies A=100\pi \\\\\\ \stackrel{\textit{half of that for a semicircle}}{A=\cfrac{100\pi }{2}}\implies A=50\pi \implies \stackrel{\pi =3.142}{A=157.1}

8 0
3 years ago
Please help me asap !!
Natasha2012 [34]

Answer:

3.5

Step-by-step explanation:

(42 - 14)/(12 - 4) = 28/8 = 7/2 = 3.5

5 0
2 years ago
I need help how to do this. Please help
earnstyle [38]
The best method would be to cross-multiply. Multiply the figure on the top left with the bottom right. Then set it equal to the multiplication of the bottom left with the top right.
This would turn into:
-1(x-1)=2(x+3)   Then distribute the multiplication through the parentheses.
-x+1=2x+6     Next, get all the variables on one side, and the integers on another.
2x+x=1-6
3x= -5
x= -5/3
8 0
3 years ago
In the year, it was released, Rush Hour earned $334,100,000 while the films Star Wars and Freaky Friday together earned $1,096,5
satela [25.4K]

Answer:

A. $,143,699,010

Step-by-step explanation:

Use a calculator my friend.

4 0
3 years ago
Read 2 more answers
How many inches represent 6 feet
Viefleur [7K]

Answer:

72 inches

Explanation: because if you divide 72 by 12 you would have 6 and that would be 6 feet

7 0
3 years ago
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