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Marrrta [24]
3 years ago
14

An angle is inscribed in the circle as shown.

Mathematics
1 answer:
adell [148]3 years ago
5 0
C. 55

The angle is half of the arc of the circle it cuts in the case 110/2= 55

You can prove this to yourself by knowing that all the circle arcs will always add to the full 360 of a circle, and then that the interior 3 angles of a triangle will always add to 180

So for this case 110+150+100=360
Becomes 55+75+50=180 for the triangle that would be created by the initial angle x
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What is the product? 6(x*2-1)(6x-1/6(x+1))
Yanka [14]
6(x^2-1)(6x-1/6(x+1))

On factoring (x^2-1)=(x+1)(x-1)

= 6(x-1)(x+1)(6x-1/6(x+1))
Cancelling (x+1) from numerator and denominator we get,

= 6(x-1)(6x-1)/6

Cancelling 6 we get,
= (x-1)(6x-1)
4 0
3 years ago
Lucy started the proof of the law of cosines using triangle WXY as shown.
yuradex [85]

The step which contains the first error in calculation is: B. Step 2 - the sine ratio was applied incorrectly.

<h3>What is the law of sines?</h3>

The law of sines is also referred to as sine law or sine rule and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.

Mathematically, the law of sines is given by this equation:

\frac{sinA}{a} =\frac{sinB}{b}

For any right-angled triangle, the ratio of the length of its opposite sides to the length of its hypotenuse is generally referred to as sine ratio. Thus, sine ratio is given by this formula:

cos(θ) = Opp/Hyp

<u>Where:</u>

  • Opp is the opposite side of a right-angled triangle.
  • Hyp is the hypotenuse of a right-angled triangle.
  • θ is the angle.

In this context, we can infer and logically deduce that the step which contains the first error in calculation is step 2:

sin(W) = y/XZ; XZsin(W) = y.

In conclusion, the correct step should have been written as follows:

sin(W) = XZ/y; ysin(W) = XZ.

Read more on law of sines here: brainly.com/question/27868305

#SPJ1

3 0
2 years ago
Given: △OKE∼△VDE<br> Prove: EK/EO = ED/EV
harkovskaia [24]

Answer:

The proof is below.

Step-by-step explanation:

Given two triangles similar.

we have to prove that ratio \frac{EK}{EO}=\frac{VE}{ED}

As, △OKE∼△VDE

∴ their corresponding sides are in same proportion.

\frac{OK}{VD}=\frac{EK}{ED}=\frac{OE}{VE}

⇒ \frac{EK}{ED}=\frac{EO}{VE}

⇒ [tex}\frac{EK}{EO}=\frac{VE}{ED}[/tex]

Hence Proved.

6 0
4 years ago
The sum of eight times a number and fifteen is seven.Find the number. How do I work this out like these?
CaHeK987 [17]
(8x n) + 15=7 : 7-15= (-8), (-8)divided by 8= (-1) : n=(-1) : When you have problems like this it helps to work them backwards. Hope you understand this.
5 0
4 years ago
a submarine is 100 meters below sea level when it begins to ascend at a steady rate of 3.0 miles per minute interpret values wha
Angelina_Jolie [31]

Answer:

y = 3x - 100

Step-by-step explanation:

below signifies that the 100 is negative

so we already know that the submarine is starting at -100 meters, which is going to be the y-intercept

ascend means to rise up signifying that the slope is going to be positive and we already know that the submarine is ascending 3 miles per minute

so the equation would look like this:

y = 3x - 100

7 0
3 years ago
Read 2 more answers
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