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3 years ago

5. Which statement is true about the triangles?

Mathematics

2 answers:

Lynna [10]3 years ago

6 0

I think it’s D, none of the triangles are similar. Hope this helps!

Vadim26 [7]3 years ago

5 0

Hey there! I'm happy to help!

It appears that we are trying to figure out which triangles are similar, which means that their side lengths have the same ratio. In ΔABC, we see that two sides have a length of 10 and the shorter has a length of 5. This means that the ratio between the long sides and the short sides must be 2:1 to be similar to this triangle.

Let's look at ΔJKL. Our long side has to be double our short side. If we double 2.5, it will be 5, not six, so JKL is not similar with ABC.

Now, let's look at ΔDEF. We see that it's long sides are double the short sides because 6 is double three. This means that the triangles ABC and DEF are similar.

The answer is A) ΔABC ~ ΔDEF.

I hope that this helps! Have a wonderful day!

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4 years ago

The point (1, 4) is translated so it ends on the coordinates (-2, 2). Which of the following describes the translation?

Rom4ik [11]

Answer:

The first answer choice is the correct one.

Step-by-step explanation:

Going from (1, 4) and ending up at (-2, 2), we see that the original point is now 3 units to the left of its starting position, and 2 units down.

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The first answer choice is the correct one.

7 0

3 years ago

Determine 7th term in the geometric sequence whose first term is 5 and whose common ratio is 2.

blagie [28]

$\bf n^{th}\textit{ term of a geometric sequence}
\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=5\\
r=2\\
n=7
\end{cases}
\\\\\\
a_7=5\cdot 2^{7-1}\implies a_7=5\cdot 2^6\implies a_7=320$

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3 years ago

Can anyone please help i am stuck on this question?

ale4655 [162]

Answer:

8/17

General Formulas and Concepts:

Trigonometry

[Right Triangles Only] cos∅ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the ratio.

Step 2: Identify

POV from angle S

Adjacent = 8

Hypotenuse = 17

Step 3: Write

Substitute [cosine]: cos(s) = 8/17

5 0

3 years ago