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Olenka [21]
3 years ago
9

This pair of figures is similar. Find the missing

Mathematics
2 answers:
Stels [109]3 years ago
6 0

Answer: x = 63

Step-by-step explanation:

since they are proportional to each other,

36/4 = 9

90/10 = 9

126/14 = 9

7*9 = 63

BlackZzzverrR [31]3 years ago
6 0

Answer:

x = 63

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

\frac{90}{10} = \frac{x}{7} ( cross- multiply )

10x = 630 ( divide both sides by 10 )

x = 63

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Question<br> What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
vlada-n [284]

The value of x is 4/3

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangles be ΔRST and ΔQRT

Now , from the figure

∠S = 90° in the triangle ΔRST

And RS = 2/√3

∠T = 60° in the triangle ΔRST

Now ,

sin 60° = opposite / hypotenuse

           = RS / RT

           = ( 2/√3 ) / RT

We know , sin 60° = √3 / 2

Substituting the value of  sin 60° in the equation , we get

√3 / 2 = ( 2 / √3 ) / RT

Multiply by RT on both sides , we get

RT x ( √3 / 2  ) =  ( 2 / √3 )

Divide by ( √3 / 2  ) on both sides , we get

RT = ( 2 / √3 ) x ( 2 / √3 )

RT = 4 / 3

Therefore , the value of RT = 4/3

Now , from the figure

∠R = 90° in the triangle ΔQRT

and ∠T = 45° in the triangle ΔQRT

So ,

tan 45° = opposite / adjacent

We know tan 45° = 1

Substituting the value for tan 45° = 1 in the equation , we get

1 = opposite / adjacent

1 = x / RT

Multiply by RT on both sides , we get

x = RT

So , x = 4/3

Hence , The value of x is 4/3

To learn more about trigonometric equations click :

brainly.com/question/14746686

#SPJ1

5 0
11 months ago
At Thanksgiving, Mrs. Jones overcooked the turkey so all but 5 of it had to be thrown away. The 8 people at dinner that
VashaNatasha [74]

<em>The question has inconsistent or incomplete data, so I'm filling the holes with key data.</em>

Answer:

<em>Every people at dinner received one-tenth of the original turkey= 0.1</em>

Step-by-step explanation:

<u>Proportions</u>

If some fraction a/b of a whole total M is to be computed and later removed, we proceed as follows

* Compute the portion to be removed as a/b*M

* Subtract it from the total quantity: M-a/b*M=M(1-a/b)

I'm assuming 1/5 of the turkey was lost due to overcooking. It means that (1-1/5) of the turkey remained for dinner, that is, 4/5 of the turkey.

Each people at dinner received the same amount of the remaining, so we must divide 4/5 by 8, to get 4/40, or 1/10. It means that every people at dinner received one-tenth of the original turkey

3 0
3 years ago
Read 2 more answers
What is a polynomial​
luda_lava [24]

Answer:

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. An example of a polynomial of a single indeterminate x is x² − 4x + 7

Step-by-step explanation:

6 0
3 years ago
a woman is expecting triplets. what is the probability that there are 2 girls and 1 boy? what is the probability that all 3 babi
navik [9.2K]
Let the boy be B and the girl be G
there are six possible outcomes 
BGG, GBB, GBG, BGB, BBB, and GGG
therefore the probability of getting one boy and two girls is \frac{1}{6}
also the probability of getting 3 girls is \frac{1}{6}

8 0
3 years ago
Read 2 more answers
Please help me
yKpoI14uk [10]

9514 1404 393

Answer:

  A)  5x+12 = -12x-12

  D)  5x+12 = -5x-12

Step-by-step explanation:

If you subtract the right side expression from both sides, you will get an equation with something equal to zero. If the 'something' has a variable in it, there is exactly one solution.

A: (5x+12) -(-12x-12) = 17x+24 = 0 . . . one solution

B: (5x+12) -(5x-5) = 17 = 0 . . . . no solutions

C: (5x+12)-(5x+12) = 0 = 0 . . . . infinite solutions

D: (5x+12) -(-5x-12) = 10x +24 = 0 . . . one solution

6 0
2 years ago
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