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kicyunya [14]
3 years ago
12

Triangle abc is similar to triangle xyz caculate the lenght of side yz

Mathematics
1 answer:
RUDIKE [14]3 years ago
8 0
Hope this helped! similar triangles have proportional lengths, so each side can be compared with one another.
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Given sin x =-4/5 and x is in quadrent 3, what is the value of tan x/2
4vir4ik [10]

Answer:

We can write sin x in terms of tan x/2 using the formula:

⇒ sin x = (2 tan (x/2)) / (1 + tan2(x/2))

Therefore, using the above formula, we can find the values of tan x/2 by putting the value of sin x.

⇒ -4/5 = (2 tan (x/2)) / (1 + tan2(x/2))

Now, if we replace tan (x/2) by y, we get a quadratic equation:

⇒ 0.8y2 + 2y + 0.8 = 0

⇒ 2y2 + 5y + 2 = 0

By using the quadratic formula, we get y = -0.5, -2

Hence, the value of tan (x/2) = -0.5, -2

Now, we have two solutions of tan (x/2).

Now, let's check for the ideal solution using the formula tan x = (2 tan (x/2)) / (1 - tan2(x/2)).

For tan (x/2) = -0.5:

⇒ tan x = 2(-0.5) / 1 - (-0.5)2 = -4/3

It is also given that x lies in the third quadrant. We know that tan is positive in the third quadrant, and here we get tan x = -4/3 which is negative.

Hence, we can say that tan (x/2) = -0.5 is not a correct solution. Hence it is rejected.

Now let's check for tan (x/2) = -2.

⇒ tan x = 2(-2) / 1 - (-2)2 = 4/3

Here, we get tan x = 4/3 which is positive.

Hence, we can say that tan (x/2) = -2 is a correct solution.

5 0
3 years ago
What is m angle ABC​
victus00 [196]

Answer:

3rd option: 60 degrees

Step-by-step explanation:

We can see in the diagram that the angle on C is a supplementary angle, which means that the sum of 135 and internal angle will be equal to 180 degrees.

Let x be the internal angle,

Then

x+135 = 180

x = 180-135

x = 45 degrees

So now we know that two interior angles of the triangle.

Also we know that sum of all internal angles of triangle is 180 degrees.

Using the same postulate:

A+B+C = 180

75 + B + 45 = 180

120+B = 180

B = 180 - 120

B = 60 degrees

So,

third option is the correct answer ..

6 0
2 years ago
Read 2 more answers
If a bucket holds 2 2/4 gallons of water. And the bucket is 5/8 full. how full is the bucket
s344n2d4d5 [400]

Multiply 2 2/4 by 5/8.

First, simplify 2 2/4 to 2 1/2.

Then, convert to improper form (5/2).

5/2 x 5/8 = 25/16

answer: 1 9/16 gallons of water

8 0
2 years ago
What is the solution of the system? Use elimination. <br><br> 5x-6y=-32<br> 3x+6y=48
vampirchik [111]

Answer:

x=2 y=7

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

7 0
2 years ago
Read 2 more answers
Pls help.....................
scZoUnD [109]

Answer:

351 carrots

Step-by-step explanation:

13 = 1 tens + 3 units

27 = 2 tens + 7 units

<h3>13 × 27</h3>

13 × 27 = 27 + 27 + 27 + 27 + 27 + 27 + 27 + 27 + 27 + 27 + 27 + 27 + 27

13 × 27 = 351

Conclusion:

Total Carrots is 351 carrots.

4 0
2 years ago
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