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Norma-Jean [14]
3 years ago
5

Are the Trianfle similar?

Mathematics
2 answers:
Alex3 years ago
8 0

Answer:

It is yes the similarity ratio is 3:4.

Step-by-step explanation:


neonofarm [45]3 years ago
4 0

Answer:

Option 2 is correct that is NO ; The triangles are not similar.

Step-by-step explanation:

Given: Measurements of the sides of triangle.

Say sides of triangle 1 = 3 , 5 , 6

Sides of triangle 2 = 4 , 6 , 8

We have to find if triangles are similar or not and if they are similar then to find their ratio.

Since, We are given with only sides of the triangle.

Then if they are similar then they will be by Side-Side-Side similarity criteria.

Here, Two triangles are said to be similar by Side-Side-Side Criteria if ratio of their sides are equal.

But clearly from given values , all ratios are not equal.

\frac{3}{4}=\frac{6}{8}\neq\frac{5}{6}

Or

\frac{3}{6}\neq\frac{5}{8}\neq\frac{6}{4}

No possible pair give equal ratio.

Therefore, Option 2 is correct that is NO ; The triangles are not similar.

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HELP!!!! Position and label the triangle on the coordinate plane
Darya [45]

Answer:

Option (2).

Step-by-step explanation:

It is given in the question,

ΔLMN is a right triangle with base LM = 3a units

Hypotenuse MN = 5a

By applying Pythagoras theorem in ΔLMN,

MN² = LM² + NM²

(5a)² = (3a)² + MN²

25a² - 9a² = MN²

MN = √16a²

MN = 4a

Therefore, vertices of the triangle will be L(0, 0), M(3a, 0) and N(0, 4a).

Option (2) will be the answer.

4 0
3 years ago
Mr.Kent interviewed 54 students as they left the school. Is this a random sample? Explain. I will give Brainliest and please ans
malfutka [58]

Answer:

Hello there! :) This is not a random sample becuase the 54 students are'nt chosen at random.

Step-by-step explanation:

These students are pre-chosen by Mr. Kent, meaning that he could have biased whatever he was interviewing them on. And it does not mention anything like, the first 54 students to leave or the last 54 students to leave. I hope this helps!

7 0
3 years ago
Change the equation of the circle x^2+14x+y^2-10y=14x 2 + 14 x + y 2 − 10 y = 14 into center-radius form of a circle.
jonny [76]

Answer:

The answer to your question is      (x + 7)² + (y - 5)² = 88

Step-by-step explanation:

Equation

                     x²  +  14x  +  y²  - 10y   =  14

Complete perfect trinomial squares

                     x² + 14x + (7)² + y² - 10y + (5)² = 14 + (7)² + (5)²

Simplify

                     x² + 14x + (7)² + y² - 10y + (5)² = 14 + 49 + 25

                     x² + 14x + (7)² + y² - 10y + (5)² = 88

Factor

                     (x + 7)² + (y - 5)² = 88   This is the equation in the form

                     center-radius

7 0
3 years ago
In the diagram below, GH is parallel to DE . If GH is 3 more than EH FH=10, and DE=12 find the length of EH. Figures are not nec
steposvetlana [31]

Answer: 5

Step-by-step explanation:

Since \overline{GH} \parallel \overline{DE}, by the corresponding angles theorem, \angle FGH \cong \angle FDE, \angle FHG \cong \angle FED. This means \triangle FGH \sim \triangle FDE by AA.

As corresponding sides of similar triangles are proportional,

\frac{10}{x+3}=\frac{10+x}{12}\\(10)(12)=(10+x)(x+3)\\120=x^{2}+13x+30\\x^{2}+13x-90=0\\(x+18)(x-5)=0\\x=-18, 5
However, as distance must be positive, we consider the positive solution, x=5.

Therefore, the answer is <u>5</u>

6 0
2 years ago
Solve the following equation. 3x/7-2=15 (Must be a mixed number)
Elina [12.6K]

Answer:

Mixed Number

39 \frac{2}{3}

4 0
3 years ago
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