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
maria [59]
3 years ago
7

Someone please help me out with these questions . I don’t get them at all.

Mathematics
1 answer:
iVinArrow [24]3 years ago
4 0

Answer:

a)similar; b)similar; c)similar; d)NOT similar

Step-by-step explanation:

>In general if

all corresponding angels are ≅, and

all corresponding sides are in proportion

then the Δs are similar

>we have 3 similarity theorems AA, SSS, and SAS

a)

we can use that sum of angles in a triangle is 180 to find the missing angles

180-96-32 = 52

so in the smaller triangle the angles are 96°-52°-32°

in the larger triangle the angles given are 52°-32°

Since there are 2 corresponding angles congruent, AA theorem of similarity says that the 2 triangles are similar. The transformations were that the big triangle was shrunk and rotated

b)

here we are given a pair of congruent angles and we need to check if the sides are in proportion, is 14/44.8 equal to 20/64?

14/44.8 =.3125 is equal to 20/64=.3125

since we have two corresponding sides in proportion and the angles in between them congruent the SAS theorem says that the 2 triangles are similar. The transformation was that the small triangle was dilated.

c)

because we are given the 2 angles are congruent we can conclude that the lines NH and SL are parallel. NH║SL let us conclude that ∡H and ∡ L are congruent because 2 parallel lines cut by a transversal (ML in our case) form congruent angles. So ΔMNH  is similar to ΔMSL because of AA theorem of similarity (one pair of A was given congruent, one other pair of A we concluded was congruent)

d)

here we have to check if all the sides are in proportion to see if SSS theorem of similarity applies here

18/90 = .2

44/202.4≈.22

58.5/211.2≈.28

.2≠ .22 ≠ .28

since the sides are not in proportion the 2 triangles are NOT similar.

You might be interested in
Which is equivalent to 64^1/4?<br> 2^4√4<br> 4<br> 16<br> 16^4√4
zalisa [80]

Answer:

Step-by-step explanation:

64^1/4\\\\=\dfrac{64^{1}}{4}  \\\\=\dfrac{64}{4} \\\\=16\\\\Answer\  C

7 0
3 years ago
Diego had $21.32 and gave $9.50 to Elena. How much did he have left?
Charra [1.4K]

Answer:

11.82

Step-by-step explanation: I know this because 21.32-9.50= 11.82

7 0
3 years ago
Let a be a rational number and b be an irrational number. Is a + b rational or irrational?
Svetlanka [38]

Answer:

irrational

Step-by-step explanation:

because an irrational number goes on forever so no matter what number is added to it it will always be irrational.

4 0
3 years ago
Read 2 more answers
When you flip 1/6 it is?
prohojiy [21]
Reciprocal
1/6 turns into 6/1 which is 6
5 0
3 years ago
Read 2 more answers
If f(x) = 5x2+2, then what is the slope of f(x) at x = 4?
REY [17]

The slope of a function at a point is the value of its derivative there.

... f'(x) = 5·(2x) + 0 = 10x . . . . . . using the power rule: (d/dx)(xⁿ) = n·xⁿ⁻¹

Then

... f'(4) = 10·4 = 40 . . . . . the slope at x=4

6 0
3 years ago
Other questions:
  • Does anyone know the answer to this please help
    10·2 answers
  • Please simply 17/12
    10·2 answers
  • Solve the equation exactly overbthe interval [0,360)<br><br> Sin^2x-cos^2x=0
    14·1 answer
  • Which of the following is the solution set of 18 - 3n + 2 = n + 20 - 4n?
    12·2 answers
  • Find the circumference of C in terms of π<br>radius of c Is 5​
    14·2 answers
  • What is 2 plus seven
    9·2 answers
  • Please help thank you ​
    11·1 answer
  • Work out the mean for the data set below: 1003, 1005
    6·2 answers
  • 色
    8·1 answer
  • Courtney walks 5 laps around 1/4 mile track. how far does she walk?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!