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seraphim [82]
2 years ago
15

In the diagram, is parallel to. Also, is drawn such that the length of is half the length of. If sin A = 0.5, then what is sin E

?
Mathematics
1 answer:
Tema [17]2 years ago
8 0

sinE is 0.5

What are similar triangles?

Two triangles will be similar if the angles are equal (corresponding angles), and sides are in the same ratio or proportion (corresponding sides). Similar triangles may have different individual lengths of the sides of triangles, but their angles must be equal and their corresponding ratio of the length of the sides must be the same.

Clearly, given triangle AFB and triangle DFE are similar.

We know that Similar Triangles have the same corresponding angle

We can find sinE as show below:

From diagram clearly

∠A=∠E

and ∠B=∠D

Since, ∠A=∠E

Taking sin on both sides

sinA=sinE

Give, sinA=0.5

sinA=sinE=0.5

⇒ sinE=0.5

Hence, sinE is 0.5

Learn more about Similar triangles here:

brainly.com/question/11920446

#SPJ1

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Check whether it is possible to have a triangle with the given side lengths for example 7,9,13 then add any two sides and see if it is greater than the other side. Example the sum of 7 and 9 is 16 and 16 is greater than 13
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Which function describes the arithmetic sequence shown?<br><br> 1, 7, 13, 19, 25, 31, ...
Taya2010 [7]

Answer:

a(n) = a(1) + 6(n -1)

Step-by-step explanation:

The common difference here is 6.  1 + 6 = 7; 13 + 6 = 19; and so on.

Thus, the function in question is a(n) = a(1) + 6(n -1).

3 0
3 years ago
Which of the following expressions is equal to 2x2 + 18 ?
ehidna [41]
<h3>Answer: Choice C. (2x - 6i)(x + 3i)</h3>

Work Shown:

2x^2 + 18

2(x^2 + 9)

2(x - 3i)(x + 3i) .... see note below

(2x - 6i)(x + 3i)

Note: I used the rule that a^2 + b^2 = (a - bi)(a + bi). I recommend FOILing out the right hand side to confirm the equation is true. You'll use the idea that i^2 = -1.

4 0
3 years ago
What is –12x–9=–6y in standard form?
Mars2501 [29]
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5 0
3 years ago
Which of the following sets of values correctly completes the t-chart for the equation y = 2x2 - 1.
natali 33 [55]

Answer:

The sets of values that correctly completes the t-chart are:

7, -1, 7

Hence, option B is true.

Step-by-step explanation:

Given the equation

y = 2x² - 1

FOR x = -2

substitute x = -2 in the equation

y = 2x² - 1

y = 2(-2)² - 1

y = 8 - 1

y = 7

FOR x = 0

substitute x = 0 in the equation

y = 2x² - 1

y = 2(0)² - 1

y = -1

FOR x = 2

substitute x = 2 in the equation

y = 2x² - 1

y = 2(2)² - 1

y = 8 - 1

y = 7

Thus, the t-chart becomes:

x              y

-2            7

0             -1

2              7

Thus, the sets of values that correctly completes the t-chart are:

7, -1, 7

Hence, option B is true.

7 0
3 years ago
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