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natima [27]
3 years ago
5

Determine if the statement is always, sometimes, or never true. An exterior angle of a triangle is 180 degrees.

Mathematics
2 answers:
Marizza181 [45]3 years ago
5 0
An angle of 180° is flat, so it can't be an exterior angle of a triangle.
your answer is:
never true
julsineya [31]3 years ago
4 0

Answer:

The correct answer among the choices is Never.

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Two corresponding sides of similar triangles are 2 cm and 5 cm. What is the area of the second triangle if the area of the first
Stella [2.4K]

Answer:

(1) Area of second triangle= 50 cm^2.

(2) Area of ΔABC=98 cm^2.

   and Area of ΔDFG=175 cm^2.

Step-by-step explanation:

<em>" For two similar triangles the ratio of sides is equal to the ratio of square of their areas".</em>

i.e. if a,b are the corresponding sides of two similar triangles and let A and B denote the area of two triangles then we have the relation as:

\dfrac{a^2}{b^2}=\dfrac{A}{B}

(1)

for the first question:

we have a=2, b=5.

A=8 cm^2.

Hence,

\dfrac{2^2}{5^2}=\dfrac{8}{B}\\\\\dfrac{4}{25}=\dfrac{8}{B}

B=50 cm^2.

Hence, the area of second triangle is 50 cm^2.

(2)

In second option we have:

a=6 and b=5.

A-B=77 cm^2.

A=77+B

\dfrac{6^2}{5^2}=\dfrac{A}{B}\\  \\\dfrac{36}{25}=\dfrac{77+B}{B}\\  \\36B=25\times77+25B\\\\36B-25B=25\times77\\\\11B=25\times77\\\\B=25\times7\\\\B=175

Hence area of second triangle i.e. ΔDFG is 175 cm^2.

and area of first triangle i.e. ΔABC=175-77=98 cm^2.




8 0
3 years ago
11/12 of the disk space on a
svet-max [94.6K]

Answer:

2 whole number 1 out of 4

Step-by-step explanation:

11/12 x 3

11/4 = 2remainder 3

2 whole number 3 out of 12

When u reduce it will be 2 whole number 1 out of 4

8 0
3 years ago
What is x if:<br> 9+10=x<br> A. x=109<br> B. x=91<br> C. x=21<br> D. x=19
Vanyuwa [196]
This problem is very simple. All you have to do is add 10 and 9. The correct answer is D. 
4 0
3 years ago
Read 2 more answers
your class is having a car wash for a fundraiser. it costs $27.95 for supplies. your class charges $5 per car. write an expressi
GenaCL600 [577]
Equation y = 5x - 27.95
Plug in 34 for x
5(34) - 27.95
170 - 27.95 = $142.05
5 0
3 years ago
Read 2 more answers
Use the associative property<br> write an equivalent expression.<br> (5 + 7) + x =
Firdavs [7]
<h3>Answer:</h3>

5+(7+x)

<h3>Step-by-step explanation:</h3>

Finding an Equivalent Expression

The associative property of addition states that you can move the terms that are inside the parentheses and still have the expression remain true. So, in the answer above, I moved 5 out of the parentheses and x into the parentheses. No matter the value of x the value of the expression will remain the same

Examples and Proof

Another example of the associative property could be (1+6)+3 = 1+(6+3). To prove this statement we can evaluate each side of the expression.

First, let's do (1+6)+3

  • (1+6)+3
  • (7)+3
  • 10

Next, let's do 1+(6+3)

  • 1+(6+3)
  • 1+(9)
  • 10

As you can see both of these expressions are the same, thus proving that the associative property works in this situation.

6 0
2 years ago
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