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
How many athletes exercised more than 40 but less than 60 minutes
BaLLatris [955]
4.  When reading the stem and leaf plot the only values that fall between the range of  40 < x <60  is the 4 values of 45.  They are located at the tail end of the 4 stem after the zeros. The 40s and 60s are not counted because it is not mentioned equal to 40 or 60.
3 0
3 years ago
Read 2 more answers
Aline's y-intercept is -6 and its slope is 0.What is its equation in slope-intercept form?
notka56 [123]

Answer:

y=0x+-6

Step-by-step explanation:

y=mx+b

6 0
3 years ago
What is the remainder when (x3 + 1) is divided by (x2 – x + 1)? x + 1 x 2 0
mariarad [96]

Answer:

x+1

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the slopes of line j and line k. Are they parallel? IF U ANSWER RIGHT I WILL MARK BRAINLIEST PLEASE ANSWER NEED ANSWER FAST
zloy xaker [14]

Answer:

The lines are certainly not parallel!

Step-by-step explanation:

The slope of line J is 3/2, while the slope of line k is exactly 1 :)

5 0
3 years ago
Read 2 more answers
Regina’s work to find the surface area of a square pyramid from its net is shown below.
viva [34]

Answer:

The 3rd one

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Which equation is equivalent to x2+10x+2=0 ?
    12·1 answer
  • Using f(x) = 4x + 6 with the domain of {-1,0,2}, find the range
    14·1 answer
  • Think of a number, divide it by 5 and then add 27 to the result. The resulting number is half of the original number. What was t
    9·1 answer
  • Worth 98 points hElp
    10·2 answers
  • What is x(32/18) = 1000<br><br> Solve for X
    8·2 answers
  • A total of 2600 twenty dollars and ten-dollar coins are In a Piggybank. For every twelve twenty-dollar coin in the piggy bank th
    13·2 answers
  • SOLVE INEQUALITY 5x-4&lt;39
    13·1 answer
  • Which number is an irrational number?
    6·2 answers
  • A pet shelter 42 kittens for adoption at the beginning of the week by the end of the week there were 21 kittens left find the pe
    13·1 answer
  • 14) Write the scientific notation.<br> 12 million
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!