1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anton [14]
3 years ago
9

△ABC has interior angles with measures x°, 90°, and 65°, and △DEF has interior angles with measures y°, 65°, and 20°. Using the

given information, which statement is true? A The two triangles are not similar because x≠20 and there cannot be three congruent interior angels. B The triangles are similar because they each have an interior angle with measure 65°. C The two triangles are similar because y=90 . D The two triangles are not similar because the interior angles are congruent but the side lengths are different.
Mathematics
2 answers:
Oliga [24]3 years ago
4 0

Answer:

The correct option is A. The two triangles are not similar because x ≠ 20 and there cannot be three congruent interior angels.

Step-by-step explanation:

Given that ΔABC has interior angles with measures x°, 90°, and 65° and ΔDEF has interior angles with measures y°, 65°, and 20°.

We know, corresponding angles of similar triangles are equal. So, if ΔABC and ΔDEF are similar then their corresponding angles must also be equal.

Now, using angles sum property in ΔABC

⇒ x + 90° + 65° = 180°

⇒ x + 155° = 180°

⇒ x = 180° - 155°

⇒ x = 25°

⇒ x ≠ 20°

So, clearly it can be seen corresponding angles of ΔABC and ΔDEF are not equal.

Thus, The correct option is A. The two triangles are not similar because x ≠ 20 and there cannot be three congruent interior angels.

77julia77 [94]3 years ago
3 0

Answer: A. The two triangles are not similar because x≠20 and there cannot be three congruent interior angels.


Step-by-step explanation:

Given: △ABC has interior angles with measures x°, 90°, and 65°

△DEF has interior angles with measures y°, 65°, and 20°.

If △ABC is similar to △DEF then their corresponding angles should be equal.

Suppose △ABC is similar to △DEF then x=20°

But in △ABC

x+90°+65°=180° [angle sum property of triangle]

⇒x+155°=180°

⇒x=180°-155°

⇒x=25°

⇒x≠20°

⇒△ABC is not similar to △DEF.

Therefore A is the right option.


You might be interested in
PLS BELP I DONT HAVE MUCH TIME!!!
viktelen [127]

Answer:

I'd say A or D but I have a feeling it's A

5 0
2 years ago
In this figure, what can be concluded about the distance from point B to CD?
maxonik [38]
It is the same distance from the point A to CD
4 0
3 years ago
Read 2 more answers
What is the area of triangle DFG? Round to the nearest whole square unit. 27 square units 38 square units 364 square units 728 s
Rudik [331]

Answer:

27 Units

I just took the test and got 100 percent

5 0
3 years ago
Read 2 more answers
BEST ANSWER GETS A THANK A BRAINLIEST A % STAR REVIEW AND 10 POINTS Which of the following shows 679 rounded to the nearest 10 a
Zigmanuir [339]

Answer:

rounded to the nearest 10: 680

rounded to the nearest 100: 700

Step-by-step explanation:

9 rounds up to 10 so it would go to 80

and 6 rounds up to 10 also so it goes to 700

brainilest maybe?

7 0
3 years ago
Read 2 more answers
The value of the square root of -4 is not -2 because?
Anarel [89]

A) (-2)² ≠ -4 is your answer



Explanation:

(-2)² = (-2)(-2)


(-2) x (-2) = 4


∴ A) (-2)² ≠ -4



hope this helps

7 0
2 years ago
Other questions:
  • 5/6-1/4 rrrggshejejjdkejeje
    8·2 answers
  • Because of the unexpected cold weather,the cost of tomatoes increased 50 percent in one month.If the cost after the increase was
    15·1 answer
  • Which value should be added to this data set to produce a mean of 13?
    5·2 answers
  • 22=a+20 one and two step equations
    9·1 answer
  • Which one of the following words means most nearly the opposite of RANDOM? (remember,opposite)
    12·1 answer
  • 40 pages in 4 days =<br> pages per day
    8·2 answers
  • Red is a primary color - Violet is not!
    8·2 answers
  • ) In each diagram, line p is parallel to line f, and line t intersects lines p and f. Based
    7·1 answer
  • 453,193 what is the value of the 5
    9·1 answer
  • Which answer correctly describes the transformation from the preimage to the
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!