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
AlladinOne [14]
3 years ago
7

△ABC has interior angles with measures 130°, x°, and 15°, and △DEF has interior angles with measures 35°, 15°, and y°. Using the

given information, which statement is true? The triangles are not similar because x≠y . The triangles are similar because they each have an interior angle with measure 15°. The triangles are similar because y=130 and there are three pairs of congruent angles. The triangles are not similar because x≠15 .

Mathematics
2 answers:
True [87]3 years ago
8 0
It is y=130 because they are congruent
MrMuchimi3 years ago
5 0

Answer:

(C)      

Step-by-step explanation:

It is given that △ABC has interior angles with measures 130°, x°, and 15°, and △DEF has interior angles with measures 35°, 15°, and y°.

Using the angle sum property in ΔABC, we have

∠A+∠B+∠C=180°

⇒130°+x+15°=180°

⇒x=180-145

⇒x=35°

Again applying Angle sum property in ΔDEF, we have

∠D+∠E+∠F=180°

⇒35°+15°+y=180°

⇒y=180-50

⇒y=130°

Thus, ∠A=∠F=130°, ∠B=∠D=35° and ∠C=∠E=15°.

Therefore, the two given triangles are similar because y=130° and there are three pairs of congruent angles.

You might be interested in
Pleaseeeeeeeeeee help meeeeeeeeee
qwelly [4]

Answer:

1st: -3    -5

       _y+_

      2     2

2nd -3y-5

       ____

         x

Step-by-step explanation:

4 0
3 years ago
Which values are the solutions to the polynomial equation?<br> 0 = x2 – 18x + 65
leva [86]

Answer:

If the question is 2x^{2} -18x+65 then the answer is no real solution. If the question is 2x - 18x + 65 than the answer is -16x+65

5 0
2 years ago
Read 2 more answers
What value of y would make {(-2, 18), (3, y), (6, 6), (-18, 2), (4, 9)} an inverse variation?​
love history [14]

Answer:

The value of "y" the would make the ordered pairs an inverse variation is;

y = 12

Step-by-step explanation:

The given ordered pairs are;

{(-2, 18), (3, y), (6, 6), (-18, 2), (4, 9)}

When a pair of variables, "x" and "y", vary inversely to one another, as the value of one variable increases, the value of the other variable decreases

Mathematically, we have;

y ∝ 1/x

The above relation can be represented as an equation as follows;

y = k/x

Where;

k = The constant of proportionality

Therefore, k = y·x

From the given ordered, we have;

k =  -2 × 18 = -36

k = 6 × 6 = 36

k = -18 × 2 = -36

k = 4 × 9 = 36

Therefore, the value of "k" is made constant as follows;

The inverse variation is y = k/(x × (-1)ⁿ)

Where;

n = The number of the term

Therefore, y = 36/(3 × (-1)²) = 12

y = 12

The given ordered pairs can therefore be written as follows;

{(-2, 18), (3, 12), (6, 6), (-18, 2), (4, 9)}.

7 0
3 years ago
Rosalie earns extra money by working as a babysitter over the weekend. She charges $10 to drive to the home and an additional $8
Irina18 [472]
Input value= number of hours babysat, output value= how much money you get.
5 0
3 years ago
1/4+2/3-1/2= how do I solve this
Ann [662]

Answer:

5/12

Step-by-step explanation:

First you add 1/4+2/3.

You need to change the denominator so that they are equal to each other

If you multiply the 1/4 by 3/3 you will get 3/12 which is equal to 1/4

Then you need to do the same to 2/3. This time you need to multiply it by 4/4 to get the same denominator which will be 2/3*4/4=8/12

Then you add 3/12+8/12=11/12. You don't need to add the denominator.

After this you will need to subtract 11/12 and 1/2. This time you need to only change the denominator for 1/2.

You multiply the denominator and numerator by 6/6 to 1/2 and you will get 6/12 then you are going to subtract 11/12-6/12 and you will get 5/12

6 0
3 years ago
Other questions:
  • Teachers who give group grades on school projects encourage teamwork amongst students. Is this a strong or weak claim?
    11·1 answer
  • If the value of x decreases by 6, how does the value of m(x + 9) change?
    10·2 answers
  • Which value of y makes the equation true. 72=y over6
    10·1 answer
  • What is the greatest common factor of 42, 30, and 45​
    5·1 answer
  • The temperature is -2 if the temperature rises by 15 what is the new temperature​
    13·1 answer
  • Olivia and camille went clothes shopping . Camille spent 19.40 less than twice what olivia spent . In total , they spent $272.35
    11·1 answer
  • Please help! I dont understand this, I will give 15 points!
    10·1 answer
  • Alanah is picking up two friends to go to a concert. She drives from her house to pick up Mia, then she drives to pick up Teresa
    11·2 answers
  • Write the sentence as an equation. added to 158 is the same as 361 Submit​
    8·1 answer
  • 5, 2, -1, -4, ____, ____, ____,...
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!