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miskamm [114]
3 years ago
8

What is x equal to ?

Mathematics
1 answer:
rewona [7]3 years ago
4 0
Triangles are congruent
so
4x + 1 = 13
4x = 12
  x = 3

In case you need to find y
2x + y = 8x - 2y
2(3) + y = 8(3) - 2y
6 + y = 24 - 2y
3y = 18
  y = 6

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Find the measure of each side of this triangles. Answer in exact form. ​ Find x and y
Firdavs [7]

Answer:

x = 24/√3

4√3 = y

Step-by-step explanation:

We are given that this is a right triangle as well as two angles and a side.

Given that the angles in a triangle add up to 180 degrees, and a right angle is 90 degrees, we can say that the missing angle is equal to

(180-90-30)  = 60 degrees

Next, given sohcahtoa, we can say that

sin(30) = opposite/hypotenuse = y/x

cos(30) = adjacent/hypotenuse = 12/x

tan(30) = opposite/adjacent = y/12

We want to only have one variable per equation so we can solve for the variable, so we can use

cos(30) = 12/x and tan(30) = y/12

Starting with cos(30) = 12/x, we can multiply both sides by x to remove the denominator to get

cos(30) * x = 12, and divide both sides by cos(30) to isolate the x and get

x = 12/cos(30). Next, cos(30) = √3/2, so we have

x = 12/(√3/2)

x = (12/1) / (√3/2)

x = (12/1) * (2/√3)

x = 24/√3

For y, we have

tan(30) = y/12

multiply both sides by 12 to isolate the y and remove the denominator

tan(30) * 12  = y

√3/3 * 12 = y

√3 * 4 = y

4√3 = y

4 0
3 years ago
What is v?<br> -15V-40 = 23-8V
Andrew [12]

Answer:

V = -9

Step-by-step explanation:

-15V - 40 = 23 - 8V

The objective is to get V alone. To do this, first subtract -15V from both sides. Since -15V is a negative, subtracting it will be adding a positive.

-40 = 23 + 7V

Now that there is only one term with the variable V, subtract 23 from both sides.

-63 = 7V

Finally, divide both sides by 7 to get V completely isolated.

-9 = V.

The final answer is V = -9.

7 0
3 years ago
Read 2 more answers
Sin(2x+30°)=1 <br> Tìm x <br> Cảm ơn vì giúp đỡ
Pie

Answer:

Step-by-step explanation:

This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):

sin^{-1}[sin(2x+30)]=sin^{-1}(1)

On the left, the inverse sin "undoes" or cancels the sin, leaving us with

2x + 30 = sin⁻¹(1)

The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:

2x + 30 = 90 and

2x = 60 so

x = 30

You're welcome!

4 0
3 years ago
PLEASE HELP ASAP!!!!!!
Katena32 [7]
1. - Since a cube is all the same lengths on all sides you would want to find the area of one of the sides. You would do this by multiplying 3.8 by 3.8.
3.8*3.8=14.44
Since you have six faces on a cube you want to multiply this by 6.
14.44*6=86.64
So your answer for 1. is 86.64 in^2 of glass

3. Same thing as number one. Find the face of one side:
1 1/3*1 1/3 is about 1.7777
Multiply this by the six faces. 
1.7777*6 is about 10.66666
So your answer for 3. is about 10.666 (repeating) in^2

4. For this one, you want to follow the surface area formula for a cylinder. Which is - A=2πrh+2πr^2
When you put all your numbers in it would look like this: 
2*3.14*2*22+2*3.14*2^2
Once you do that equation you will get 301.44
So that should be your answer 301.44 cm^2

Hope this helps!
8 0
3 years ago
How can we write y + 8x = 50 in Slope Intercept form? What is the first step?
meriva

Answer:

subtract 8x from both sides

Step-by-step explanation:

this is the first step

6 0
3 years ago
Read 2 more answers
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