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Alenkinab [10]
3 years ago
11

If triangle MNO is similar to triangle PQR, which statement is true about the two triangles?

Mathematics
2 answers:
Neko [114]3 years ago
7 0
The first one. Segment NO is proportional to segment QR, and angles M and P are congruent.

In similar triangles, their angles are congruent but their sides are only proportional. That is why the last three are not true.
mamaluj [8]3 years ago
3 0

Answer:

Option 1 is correct.

Step-by-step explanation:

Given if If triangle MNO is similar to triangle PQR, we have to choose the true statement about the two triangles.

As the two triangles are similar therefore their corresponding sides are proportional angle angles are congruent.

In the option 1,

Segment NO is proportional to segment QR, and angles M and P are congruent.

which is the correct option.

Option 2: Segment MN is congruent to segment PQ, and angles O and R are congruent.

If two triangles are similar then its not compulsory corresponding sides are congruent these are proportional.

Not correct.

Option 3: Segment NO is proportional to segment QR, and angles M and P are proportional.

here, angles must be congruent.

Not correct.

Option 4: Segment MN is congruent to segment PQ, and angles O and R are proportional.

If two triangles are similar then its not compulsory corresponding sides are congruent these are proportional.

Not correct.

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A right triangle has side lengths of 0.6 meter and 0.8 meter. What is the length of the hypotenuse? Round to the nearest tenth.
Sonja [21]

Use the Pythagorean theorem since you are working with a right triangle:

a^2+b^2=c^2a2+b2=c2

The legs are a and b and the hypotenuse is c. The hypotenuse is always opposite the 90° angle. Insert the appropriate values:

0.8^2+0.6^2=c^20.82+0.62=c2

Solve for c. Simplify the exponents (x^2=x*xx2=x∗x ):

0.64+0.36=c^20.64+0.36=c2

Add:

1=c^21=c2

Isolate c. Find the square root of both sides:

\begin{gathered}\sqrt{1}=\sqrt{c^2}\\\\\sqrt{1}=c\end{gathered}1=c21=c

Simplify \sqrt{1}1 . Any root of 1 is 1:

c=c= ±11 *

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3 years ago
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Sylvia surveyed her classmates at school to find out who plays sports at her school.the table below shows the number of students
Neporo4naja [7]

Answer:

Using the info you just gave,

Basketball, 8 studentsfootball, 7 studentsSoccer 12 studentsother, 13 students

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First, you need to add all the students together.

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You get 40 students all together.

Now, add together the students that DID NOT choose soccer.

7 + 8 + 13 = 29

That means that 28/40 of the students did not choose soccer.

Now, convert that to a percentage.

28/40 = 0.7

To make that into a percentage, multiply by 100

Thus, the percentage of students that did not select soccer is 70%.

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Step-by-step explanation:

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