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iris [78.8K]
2 years ago
12

Find the unknown lengths in the pair of similar triangles

Mathematics
1 answer:
777dan777 [17]2 years ago
5 0

Answer:

a = 3

b = 2

Step-by-step explanation:

The ratio of the corresponding sides of two similar triangles are always equal. Therefore,

9/a = 18/6 = 6/b

✔️Let's solve for a:

9/a = 18/6

9/a = 3

Cross multiply

a*3 = 9

Divide both sides by 3

a = 9/3

a = 3

✔️Let's find b:

18/6 = 6/b

3 = 6/b

3*b = 6

b = 6/3

b = 2

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A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in
kozerog [31]

Answer: C.  6

Step-by-step explanation:

Given : Time taken by Machine R to do the job = 36 hours

Time taken by Machine S to do the job = 18 hours

Let x be the number of each type of machine to do the job.

Then , according to the question the required equation will be :-

\dfrac{x}{36}+\dfrac{x}{18}=\dfrac{1}{2}\\\\\Rightarrow\ x(\dfrac{1}{36}+\dfrac{1}{18})=\dfrac{1}{2}\\\\\Rightarrow\ \dfrac{x}{12}=\dfrac{1}{2}\\\\\Rightarrow\ x=\dfrac{12}{2}=6

Hence, the number of machines of type R were used =6

8 0
3 years ago
Suppose a jar contains 8 red marbles and 14 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the pro
NikAS [45]

it would most likely be blue because its more

it would be a  57.1429%. of blue

8 0
1 year ago
Given the Arithmetic series A 1 + A 2 + A 3 + A 4 A1+A2+A3+A4 14 + 18 + 22 + 26 + . . . + 86 What is the value of sum?
postnew [5]

Answer:

950

Step-by-step explanation:

The common difference is 4, so the general term can be written:

... an = 14 + 4(n -1)

The value of n for the last term is ...

... 86 = 14 + 4(n -1) . . . . . the computation for the last term, 86

... 72 = 4(n -1) . . . . . . . . . subtract 14

... 18 = n -1 . . . . . . . . . . . divide by 4

... 19 = n . . . . . . . . . . . . . add 1

Your series has 19 terms. The first term is 14 and the last is 86, so the average term is (14+86)/2 = 50. Since there are 19 terms, the sum of them is ...

... 19×50 = 950

7 0
3 years ago
Solve the rational equation 1/n-4 - 2/n = 3/4-n
Leokris [45]

Answer:

n=4

Step-by-step explanation:

Given equation: \[\frac{1}{n-4}-\frac{2}{n}=\frac{3}{4-n}\]

Simplifying the Left Hand Side of the equation by taking the LCM of the denominator terms:

\[\frac{n}{n*(n-4)}-\frac{2*(n-4)}{n*(n-4)}=\frac{3}{4-n}\]

=> \[\frac{n - 2*(n-4)}{n*(n-4)}=\frac{3}{4-n}\]

=> \[\frac{n - 2n + 8}{n*(n-4)}=\frac{3}{4-n}\]

=> \[\frac{8 - n}{n*(n-4)}=\frac{3}{4-n}\]

=> \[(8-n)*(4-n) =n*(n-4)*3\]

=> \[n-8 =3n\]

=> \[2n =8\]

=> n = 4

5 0
3 years ago
Help pls and fast<br> 21x+1+26=28
Naya [18.7K]
X=1/21 that the answer
8 0
3 years ago
Read 2 more answers
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