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Natalka [10]
3 years ago
13

Equivalent Ratios

Mathematics
1 answer:
Zolol [24]3 years ago
8 0
The answer is B 12 your welcome
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Someone please help me out with these questions . I don’t get them at all.
iVinArrow [24]

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.

4 0
3 years ago
Allison is running a race that is m miles long. She has already run 6 miles. Which expression shows how many miles Allison has l
Marysya12 [62]
M-6 is the expression that shows how far Allison has to run
8 0
3 years ago
Read 2 more answers
Express 4/5 as a decimal using long division
Hoochie [10]

Here, we want to express the given fraction as a decimal by the use of long division

We start by writing the long division sign

We place 5 on the left hand side outside and place 4 inside the long division sign

Now, as we know, 4 cannot divide 5 wholly as it is less than 5

We simply add a 0 at the top of the long division symbol, with a decimal point after it.

Concurrently, we place a zero after 4

Hence we have 40 inside the long division

Then we can divide 40 by 5 to get 8

The 8 now comes after the decimal point

Hence, our answer is 0.8

Pictorally, we can have the representation as follows;

5 0
1 year ago
X= 1/3<br>y= 3/5<br>z= 2 1/4<br>x×y×z=?? ​
podryga [215]

HERE SORRY MY CAP ARE ON

Download pdf
4 0
3 years ago
What is the absolute deviation for the numbers: 112,145,108,160,122
Serhud [2]
Absolute deviation is 92.40

Rearrange numbers from least to greatest to avoid confusion.
108, 112, 122, 145, 160

Mean = (108 + 112 + 122 + 145 + 160) / 5 
          = 647 / 5
          = 129.40

Absolute deviation : (number - mean)

*absolute means that a number is always treated as a positive number contrary to its actual value

              108 - 129.40 =   21.40
              112 - 129.40 =   17.40
              122 - 129.40 =     7.40
              145 - 129.40 =   15.60
              160 - 129.40 =  <u> 30.60</u>
total absolute deviation    92.40

Mean absolute deviation = 92.40 / 5 = 18.48

4 0
2 years ago
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